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电子与信息学报 2009
Normality of Plateaued Functions
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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.