Quantum Safe Cryptographic Signatures
Focus: Ed25519 Ed25519 is a specific instance of the EdDSA (Edwards-curve Digital Signature Algorithm) signature scheme. It is based on the Twisted Edwards curve which uses a prime number 2^255 - 19 as the field size (modulo) for its arithmetic operations. *This prime number has special properties that enable faster and more efficient arithmetic operations on the curve.
Ed25519 usages: SSH / TLS Ed25519 is NOT Quantum-Safe. Ed25519 belongs to ECC (Elliptic Curve Cryptography) system
Quantum-safe or post-quantum cryptographic algorithms are designed to be secure against attacks from quantum computers. State of the art research: lattice-based cryptography, code-based cryptography, hash-based signatures, and multivariate cryptography
Theory: Prime numbers play a crucial role in public key cryptography, because of their unique mathematical properties. Unique factorization, Modular arithmetic, Discrete logarithm problem, Randomness and unpredictability. These are essential for achieving the security goals of confidentiality, integrity, and authentication.
Created on 3/25/2023