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Conjugacy Systems Based on Nonabelian Factorization Problems and Their Applications in Cryptography

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  • Lize Gu
  • Shihui Zheng

Abstract

To resist known quantum algorithm attacks, several nonabelian algebraic structures mounted upon the stage of modern cryptography. Recently, Baba et al. proposed an important analogy from the integer factorization problem to the factorization problem over nonabelian groups. In this paper, we propose several conjugated problems related to the factorization problem over nonabelian groups and then present three constructions of cryptographic primitives based on these newly introduced conjugacy systems: encryption, signature, and signcryption. Sample implementations of our proposal as well as the related performance analysis are also presented.

Suggested Citation

  • Lize Gu & Shihui Zheng, 2014. "Conjugacy Systems Based on Nonabelian Factorization Problems and Their Applications in Cryptography," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnljam:v:2014:y:2014:i:1:n:630607
    DOI: 10.1155/2014/630607
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    References listed on IDEAS

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    1. Lize Gu & Yun Pan & Mianxiong Dong & Kaoru Ota, 2013. "Noncommutative Lightweight Signcryption for Wireless Sensor Networks," International Journal of Distributed Sensor Networks, , vol. 9(3), pages 818917-8189, March.
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