On the immunity of rotation symmetric Boolean functions against fast algebraic attacks

  • Authors:
  • Yin Zhang;Meicheng Liu;Dongdai Lin

  • Affiliations:
  • -;-;-

  • Venue:
  • Discrete Applied Mathematics
  • Year:
  • 2014

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Abstract

In this paper, an efficient algorithm is proposed to estimate the immunity of rotation symmetric Boolean functions against fast algebraic attacks. The algorithm is true-biased and almost always outputs the correct answer. Besides, it is shown that an n-variable rotation symmetric Boolean function f with n even but not a power of 2 admits a rotation symmetric function g of degree at most e@?n/3 such that the product gf has degree at most n-e-1.