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New public key cryptosystems based on non-Abelian factorization problems

  • Lize Gu
  • , Licheng Wang*
  • , Kaoru Ota
  • , Mianxiong Dong
  • , Zhenfu Cao
  • , Yixian Yang
  • *Corresponding author for this work
  • Beijing University of Posts and Telecommunications
  • The University of Aizu
  • Shanghai Jiao Tong University

Research output: Contribution to journalArticlepeer-review

Abstract

Two novel public key encryption schemes based on the non-Abelian factorization problems were proposed. Both of them are proved to be indistinguishable against adaptively chosen ciphertext attack (IND-CCA2) in the random oracle models. These constructions have the potential to resist Shor's quantum algorithm attack proposed in 1994 and give affirmative answers for the open question announced by Myasnikov, Shpilrain and Ushakov in 2011.

Original languageEnglish
Pages (from-to)912-922
Number of pages11
JournalSecurity and Communication Networks
Volume6
Issue number7
DOIs
StatePublished - Jul 2013
Externally publishedYes

Keywords

  • Factorization
  • Non-Abelian
  • Public-key encryption
  • Quantum attack resistant

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