mikalv/cryptowithsagemath

Cryptography in SageMath.

About

CryptoSage provides cryptography algorithms in SageMath (http://www.sagemath.org).

This project is for students and engineers interested in cryptography. You can try and test these cryptography algorithms with real parameters and full key lengths. We write cryptography algorithms in SageMath.

Install

At first you need to install SageMath. And then the sage command can load and run the CryptoSage scripts.

Features

We hope to implement all popular public key schemes:

• Integer-Factoring-Based Cryptosystems including RSA/Rabin/Paillier, etc.
• Descrete-Log-Based Cryptosystems including DH/ElGamal/DSA, etc.
• ECC (Elliptic curve cryptography)
• Pairing-Based Cryptography
• Lattice-Based Cryptography
• Coding-Based Cryptography

Elliptic Curve Cryptography

• EC domain parameters: prime192v1.sage
• EC key generation: eckeygen.sage
• ECDSA signature generation and verification ecdsa.sage

You can view and try the ectest.sage

$ sage ectest.sage

Pairing