This notebook explains the quantum processing unit (QPU) programming model used for factoring, and shows how to implement it. The complexity class for classical integer factoring is believed to be ...
Abstract: We present here an algorithm for factoring a given polynomial over GF(q) into powers of irreducible polynomials. The method reduces the factorization of a polynomial of degree m over GF(q) ...
Abstract: We present here an algorithm for factoring a given polynomial over GF(q) into powers of irreducible polynomials. The method reduces the factorization of a polynomial of degree m over GF(q) ...
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 ...
Department of Mathematics, Florida Gulf Coast University, Fort Myers, FL, USA. This paper presents the preliminary results of a broader program to estimate the probabilities of factoring more general ...