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Normality of Plateaued Functions |
Wang Wei-qiong①②; Zhou Yu①; Xiao Guo-zhen① |
①State Key Laboratory of Integrated Service Network, Xidian University, Xi'an 710071, China; ②College of Science, Chang'an University, Xi'an 710064, China |
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Abstract As a generalization of Bent functions and Partially Bent functions, Plateaued functions can achieve trade-off among many cryptographic criteria. Based on the relationships between the Walsh transform of a given function and the Walsh transform of its decomposing function, the normality of Plateaued functions is studied. Then a simpler algorithm for checking the normality of Plateaued functions is proposed. Finally, the normality of some known kind of Plateaued functions is discussed.
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Received: 15 May 2008
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