hcmy / cryptography

Cryptographic algorithm implementation

Introduction

Implementation of cryptographic algorithms in Python & SageMath.

List

• Symmetric Ciphers
  • Shift Cipher
  • Vigenere Cipher
  • Affine Cipher
  • Stream Cipher
  • DES(Data Encryption Standard)
  • AES(Advanced Encryption Standarad)
  • Modes of AES
    1. ECB(Electronic Code Book mode)
    2. CBC(Cipher Block Chaining mode)
    3. CFB(Cipher Feedback mode)
    4. OFB(Output Feedback mode)
    5. CTR(Counter mode)
    6. GCM(Galois Counter Mode)
• Asymmetric Ciphers
  • RSA
  • Elgamal
  • ECC
  • NTRUEncrypt
  • GGH
• Protocols
  • Digital Signatures (TODO)
  • Hash Functions (TODO)
  • MAC(Message Authentication Codes) (TODO)
• Attacks & Algorithms
  • Index of Coincidence & Chi-squared Statistic
  • Shank's Babystep-Giantstep Algorithm
  • Pollard's rho Method
  • Gram-Schmidt Algorithm
  • Babai's Algorithm
  • The LLL Lattice Reduction Algorithm

Reference

• Understanding Cryptography
• Introduction to Cryptography by Christof Paar (lectures).
• An Introduction to Mathematical Cryptography