Note on Design Criteria for Rainbow-Type Multivariates

نویسندگان

  • Jintai Ding
  • Lei Hu
  • Bo-Yin Yang
  • Jiun-Ming Chen
چکیده

Problem MQ: Solve the system p1 = p2 = · · · = pm = 0, where each pi is a quadratic polynomial in x = (x1, . . . , xn) and coefficients and variables are in K = GF(q). Generic MQ is NP-hard [GJ79], and consensus pegs it as a difficult problem to solve even probabilistically. The trapdoor is built into the public map P by the knowledge of the maps S and T . The central map Q may contain parameters also, and belongs to a certain class of quadratic maps whose inverse is tractable. So the security of the cryptosystem also depends on the following:

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عنوان ژورنال:
  • IACR Cryptology ePrint Archive

دوره 2006  شماره 

صفحات  -

تاریخ انتشار 2006