This paper discusses some new integer factoring methods involving cyclotomic polynomials. There are several polynomials $f(X)$ known to have the following property ...

Researchers introduced new concepts and arithmetic functions that could play a significant role in the quantum factorization problem. The Factorization Ensemble is the main one; it allows us to bind ...

Abstract: Substitution Boxes play a vital role in the Rijndael algorithm of modern block ciphers. The security and efficiency of these ciphers mainly depend upon the algebraic construction of their ...

A C implementation of Niederreiter's algorithm for factoring polynomials over F 2 is described. The most time-consuming part of this algorithm, which consists of setting up and solving a certain ...