Title: Application of bio-inspired algorithm to the problem of integer factorisation

Authors: Roman V. Yampolskiy

Addresses: Speed School of Engineering, Computer Engineering and Computer Science, University of Louisville, Louisville, KY 40292, USA

Abstract: This paper describes an attempt at developing an evolutionary algorithm capable of solving non-trivial cases of integer factorisation, which are at the heart of security behind the modern public key cryptography systems. After reviewing previous work in integer factorisation and describing the developed genetic algorithm the paper addresses issues of convergence to a local maxima associated with the performance of genetic algorithms. Specifically, properties and statistical distribution of local maxima points associated with the integer factorisation problems are reviewed. Finally, performance of the developed system is analysed and recommendations are made for future research paths.

Keywords: evolutionary algorithms; integer factorisation; global maxima; genetic algorithms; bio-inspired computation; public key cryptography; security.

DOI: 10.1504/IJBIC.2010.032127

International Journal of Bio-Inspired Computation, 2010 Vol.2 No.2, pp.115 - 123

Available online: 10 Mar 2010 *

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