{"id":23196468,"url":"https://github.com/lliepjiok/polynomial","last_synced_at":"2026-06-21T01:02:17.062Z","repository":{"id":264677390,"uuid":"894056499","full_name":"LLIEPJIOK/polynomial","owner":"LLIEPJIOK","description":"Operations with polynomials over the finite field","archived":false,"fork":false,"pushed_at":"2026-06-02T14:09:40.000Z","size":117,"stargazers_count":1,"open_issues_count":0,"forks_count":0,"subscribers_count":1,"default_branch":"master","last_synced_at":"2026-06-02T16:10:04.373Z","etag":null,"topics":["field","golang","polynomial"],"latest_commit_sha":null,"homepage":"","language":"Go","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/LLIEPJIOK.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":"2024-11-25T17:12:16.000Z","updated_at":"2026-06-02T14:16:13.000Z","dependencies_parsed_at":"2024-11-25T18:43:06.332Z","dependency_job_id":null,"html_url":"https://github.com/LLIEPJIOK/polynomial","commit_stats":null,"previous_names":["lliepjiok/polynomial"],"tags_count":0,"template":false,"template_full_name":null,"purl":"pkg:github/LLIEPJIOK/polynomial","repository_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/LLIEPJIOK%2Fpolynomial","tags_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/LLIEPJIOK%2Fpolynomial/tags","releases_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/LLIEPJIOK%2Fpolynomial/releases","manifests_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/LLIEPJIOK%2Fpolynomial/manifests","owner_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners/LLIEPJIOK","download_url":"https://codeload.github.com/LLIEPJIOK/polynomial/tar.gz/refs/heads/master","sbom_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/LLIEPJIOK%2Fpolynomial/sbom","scorecard":null,"host":{"name":"GitHub","url":"https://github.com","kind":"github","repositories_count":286080680,"owners_count":34590216,"icon_url":"https://github.com/github.png","version":null,"created_at":"2022-05-30T11:31:42.601Z","updated_at":"2026-05-26T15:22:16.424Z","status":"online","status_checked_at":"2026-06-20T02:00:06.407Z","response_time":98,"last_error":null,"robots_txt_status":"success","robots_txt_updated_at":"2025-07-24T06:49:26.215Z","robots_txt_url":"https://github.com/robots.txt","online":true,"can_crawl_api":true,"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":["field","golang","polynomial"],"created_at":"2024-12-18T14:18:41.601Z","updated_at":"2026-06-21T01:02:13.021Z","avatar_url":"https://github.com/LLIEPJIOK.png","language":"Go","funding_links":[],"categories":[],"sub_categories":[],"readme":"## Polynomial project\n\nThis program implements various operations with polynomials over the finite field $F_{2^n}$. It supports:\n\n- **Addition**: Fast XOR operation between the coefficients of two polynomials.\n- **Multiplication**: Polynomial multiplication with reduction modulo a given irreducible polynomial.\n- **Division**: Computes the quotient and remainder of polynomial division.\n- **Exponentiation**: Raises a polynomial to a specified power with modular reduction.\n- **Inverse Polynomial**: Finds the multiplicative inverse using the extended Euclidean algorithm.\n- **Irreducibility Check**: Verifies if a polynomial is irreducible over $F_{2^n}$.\n\nThis program is useful for applications in cryptography, error-correcting codes, and finite field algebra.\n\n---\n\n## Run\n\n1.  Clone the repository:\n\n    ```bash\n    git clone git@github.com:LLIEPJIOK/polynomial.git\n    ```\n\n2.  Navigate to the project folder:\n\n\t```bash\n\tcd polynomial\n\t```\n\n3.  Run the program:\n\n    ```bash\n    go run cmd/polynomial/main.go\n    ```\n","project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Flliepjiok%2Fpolynomial","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Flliepjiok%2Fpolynomial","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Flliepjiok%2Fpolynomial/lists"}