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Linear Time Solution to Prime Factorization by Tissue P Systems with Cell Division

Author

Listed:
  • Xingyi Zhang

    (Anhui University, China)

  • Yunyun Niu

    (Huazhong University of Science and Technology, China)

  • Linqiang Pan

    (Huazhong University of Science and Technology, China)

  • Mario J. Pérez-Jiménez

    (University of Sevilla, Spain)

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 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.

Suggested Citation

  • Xingyi Zhang & Yunyun Niu & Linqiang Pan & Mario J. Pérez-Jiménez, 2011. "Linear Time Solution to Prime Factorization by Tissue P Systems with Cell Division," International Journal of Natural Computing Research (IJNCR), IGI Global, vol. 2(3), pages 49-60, July.
    • Handle: RePEc:igg:jncr00:v:2:y:2011:i:3:p:49-60
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