In this work we focus on the problem of factoring semi-primes with SAT-solvers. A semi-prime N is a composite of two primes p and q which are roughly of equal size. These particular composites are ...

Factoring very large numbers into their prime "building blocks" is extremely difficult for classical computers, and this difficulty underlies the security of many cryptographic algorithms. While it's ...

Abstract: A matrix factorization problem is considered. The matrix is algebraic and belongs to the Jones–Moiseev class. A new method of factorization is proposed. The matrix factorization problem is ...

Abstract: Generally, cryptographic algorithms are based on NP-Complete problems like prime factorization, discrete logarithm etc. The difficulties of RSA and Rabin cryptographic algorithms are based ...

Ever wonder how quantum computers might change the world? One big area people talk about is factoring numbers. It sounds kind of boring, right? But it’s actually a huge deal for how we keep our online ...

ABSTRACT: In this paper is demonstrated a method for reduction of integer factorization problem to an analysis of a sequence of modular elliptic equations. As a result, the paper provides a ...

Non-negative matrix factorization is a powerful tool for dimensionality reduction and data analysis. Here I have implemented a solver that takes missing entries into account when solving the NNMF ...

LU factorization is part of the "invisible" yet fundamental tools of scientific computing: it transforms a general problem (working with any matrix) into two structured problems (working with two ...