A Digital Signature Using Multivariate Functions on Quaternion Ring

نویسنده

  • Masahiro Yagisawa
چکیده

We propose the digital signature scheme on non-commutative quaternion ring over finite fields in this paper. We generate the multivariate function of high degree F(X) . We construct the digital signature scheme using F(X). Our system is immune from the Gröbner bases attacks because obtaining parameters of F(X) to be secret keys arrives at solving the multivariate algebraic equations that is one of NP complete problems . key words: digital signature, multivariate algebraic equations, Gröbner bases attacks , quaternion, NP complete problems.

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عنوان ژورنال:
  • IACR Cryptology ePrint Archive

دوره 2010  شماره 

صفحات  -

تاریخ انتشار 2010