%0 Generic %D 2011 %T Linear Time Solution to Prime Factorization by Tissue P Systems with Cell Division %A Xingyi Zhang %A Yunyun Niu %A Linqiang Pan %A Mario J. Pérez-Jiménez %C Hershey, Pennsylvania (USA) %I IGI Global %N 3 %P 49-60 %R 10.4018/jncr.2011070105 %U http://www.igi-global.com/bookstore/article.aspx?titleid=58066 %V 2 %X 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 difficult. A polynomial-time algorithm for prime factorization on a quantum computer was given by P. W. Shor in 1997. In this work, it is considered as a function problem, and in the framework of tissue P systems with cell division, a linear-time solution to prime factorization problem is given on biochemical computational devices – tissue P systems with cell division, instead of computational devices based on the laws of quantum physical.