Abstract: A fast transversal filter for the numerical factorization of polynomials is presented. When all zeros of a polynomial are of different modulus, this algorithm can be used for the ...
Given a monic polynomial f over finite fields F, (i.e. the coefficents of f are in the field F), we will factor f into product of irreducible monic polynomials. (a polynomial is irreducible if it is ...
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 ...
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 ...
1 Department of Electrical Engineering (ESAT), KU Leuven, Leuven, Belgium 2 Group Science, Engineering and Technology, KU Leuven Kulak, Kortrijk, Belgium We introduce the Tensor-Based Multivariate ...
Recently, I applied to a fellowship with Math for America, a program dedicated to improving mathematics education in U.S. public schools by recruiting, training, and retaining highly qualified ...
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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