A class of rotation symmetric Boolean functions with optimum algebraic immunity |
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Authors: | Chunlei Li Xiangyong Zeng Wei Su Lei Hu |
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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 |
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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. |
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Keywords: | rotation symmetric Boolean functions (RSBFs) algebraic immunity nonlinearity balancedness Krawtchouk polynomial |
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