Multiplication is an essential step in a lot of calculations. In this paper we look at multiplication of 2 binary polynomials of degree at most n − 1, modulo an irreducible polynomial of degree n with ...
Algorithms for polynomial computation over finite fields form a crucial domain in computational mathematics, with extensive applications ranging from cryptography and ...
Abstract: High-speed long polynomial multiplication is important for applications in homomorphic encryption (HE) and lattice-based cryptosystems. This paper addresses low-latency hardware ...
Abstract: Post-quantum cryptography (PQC) is a rapidly growing field that aims to develop cryptographic algorithms that can resist attacks by quantum computers. Large-degree polynomial multiplication ...
My Solutions of (Algorithmic-Toolbox ) Assignments from Coursera ( University of California San Diego ) With "Go In Depth" Part Which Contains More Details With Each of The Course Topics ...
With the advance of quantum computers, there is an urgent need to find replacements for public-key cryptography threatened by Shor’s quantum algorithm. This thesis presents work towards understanding ...
Polynomial Class in Python: A Python implementation of a Polynomial class that supports addition, subtraction, multiplication by a number, evaluation for specific values, and a human-readable string ...
ABSTRACT: Substitution boxes or S-boxes play a significant role in encryption and de-cryption of bit level plaintext and cipher-text respectively. Irreducible Poly-nomials (IPs) have been used to ...
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