https://github.com/defeo/cimpa-popayan

https://github.com/defeo/cimpa-popayan

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• Host: GitHub
• URL: https://github.com/defeo/cimpa-popayan
• Owner: defeo
• License: gpl-2.0
• Created: 2023-08-01T16:02:45.000Z (over 1 year ago)
• Default Branch: master
• Last Pushed: 2023-08-04T19:48:49.000Z (over 1 year ago)
• Last Synced: 2024-04-15T03:04:11.081Z (7 months ago)
• Language: Jupyter Notebook
• Homepage:
• Size: 60.5 KB
• Stars: 3
• Watchers: 2
• Forks: 2
• Open Issues: 0
• Metadata Files:
  • Readme: README.md
  • License: LICENSE

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README

        
# Isogenies of elliptic curves and their applications to cryptography

Exercises for the [CIMPA research

school](http://www.rnta.eu/Popayan2023/), Universidad del Cauca,

Popayán, Colombia, July 24 – August 4.

These [Jupyter/Sagemath](https://www.sagemath.org/) notebooks contain

the tutorials and exercises for the "Cryptography" course of the

school.

## Install Sagemath

If you have the opportunity, it's recommended to install Sagemath on

your personal machine. Instructions at

.

## Use Sagemath in the cloud

If you couldn't install Sagemath, there are two opportunities to use

it in the cloud.

### Cocalc

[Cocalc](https://cocalc.com/) is a freemium cloud service providing

Sagemath and other scientific tools.  You will have to create an

account in order to use it.

You can open the tutorials in Cocalc by following this link:

.

After you open a notebook, click on "Edit your own copy". It will

prompt you to create an account, if you haven't already done so, and

then import the notebook in a project.

### Binder

[Binder](https://mybinder.org/) is a free service supporting

reproducible environments for scientific computation. No account is

needed.

You can open the tutorials in Binder by following this link:

.

If launching hangs for more than a minute, give it another try by

reloading the page, or clicking on the link again.

Be warned that, unlike in Cocalc, whatever work you do is not saved in

the cloud! Do not forget to download your work at the end of the

session.

## Direct links to notebooks

Below you'll find direct Binder links to the notebooks in this

repository.  Click on them to jump straight to them.

- [The notebook of the first tutorial](https://mybinder.org/v2/gh/defeo/cimpa-popayan/master?labpath=2023-08-01-popayan.ipynb) on elliptic curves, torsion points and the Frobenius endomorphism.

- [The notebook of the second tutorial](https://mybinder.org/v2/gh/defeo/cimpa-popayan/master?labpath=2023-08-03-popayan.ipynb) on isogenies and complex multiplication.

- [The notebook of the third tutorial](https://mybinder.org/v2/gh/defeo/cimpa-popayan/master?labpath=2023-08-04-popayan.ipynb) on complex multiplication and cryptography.

## Acknowledgments

This repository is based on .

Go there for more demos and infos.