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A class of rotation symmetric Boolean functions with optimum algebraic immunity
Authors:Chunlei Li  Xiangyong Zeng  Wei Su  Lei Hu
Affiliation:(1) Faculty of Mathematics and Computer Science, Hubei University, Wuhan, 430062, Hubei, China;(2) State Key Laboratory of Information Security /Graduate, University of Chinese Academy of Sciences, Beijing, 100049, China
Abstract:For an odd integer n ≥ 7, this paper presented a class of n-variable rotation symmetric Boolean functions (RSBFs) with optimum algebraic immunity. The nonlinearity of the constructed functions is determined. Biography: LI Chunlei (1984–), male, Master, research direction: algebra and cryptography.
Keywords:rotation symmetric Boolean functions (RSBFs)  algebraic immunity  nonlinearity  balancedness  Krawtchouk polynomial
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