①State Key Laboratory of Integrated Service Network, Xidian University, Xi'an 710071, China; ②College of Science, Chang'an University, Xi'an 710064, China
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.