[Resource Topic] 2010/579: Construction of Highly Nonlinear Resilient Boolean Functions Satisfying Strict Avalanche Criterion

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Title:
Construction of Highly Nonlinear Resilient Boolean Functions Satisfying Strict Avalanche Criterion

Authors: WeiGuo Zhang, GuoZhen Xiao

Abstract:

A method is proposed to construct resilient Boolean functions on n variables (n even) satisfying strict avalanche criterion (SAC) with nonlinearity >2^{n-1}-2^{n/2}. A large class of cryptographic Boolean functions which were not known earlier are obtained.

ePrint: https://eprint.iacr.org/2010/579

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