Linear time solution to prime factorization by tissue P systems with cell division

TitleLinear time solution to prime factorization by tissue P systems with cell division
Publication TypeConference Contributions
Year of Publication2011
AuthorsZhang, X., Niu Y., Pan L., & Pérez-Jiménez M. J.
Conference NameNinth Brainstorming Week on Membrane Computing
Volume TitleProceedings of the Ninth Brainstorming Week on Membrane Computing
PublisherFénix Editora
Place PublishedSeville, Spain
Pages355-372
Date Published02/2011
Abstract

Prime factorization is useful and crucial for public-key cryptography, and its
application in public-key cryptography is possible only because prime factorization has
been presumed to be di±cult. A polynomial-time algorithm for prime factorization on a
quantum computer is given by P. W. Shor in 1997. In this work, a linear-time solution
for prime factorization is given on a kind of biochemical computational devices { tissue
P systems with cell division, instead of physical computational devices.

URLhttp://www.gcn.us.es/9BWMC/volume/26factorization.pdf