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 ...

Quantum factor: the Paul trap used by Monz and colleagues. (Courtesy: C Lackner/Quantum Optics and Spectroscopy Group, University of Innsbruck) A quantum computer made of five trapped ions has been ...

In this article we present applications of smooth numbers to the unconditional derandomization of some well-known integer factoring algorithms. We begin with Pollard's p – 1 algorithm, which finds in ...

Arxiv – Pretending to factor large numbers on a quantum computer – Shor’s algorithm for factoring in polynomial time on a quantum computer gives an enormous advantage over all known classical ...

The phenomenal success of our integrated circuits managed to obscure an awkward fact: they're not always the best way to solve problems. The features of modern computers—binary operations, separated ...