Cryptographic Properties of Multi-output Plateaued Functions

This paper discusses the cryptographic properties of Multi-output plateaued functions, the relationship among difference, Walsh spectra and the order of Multi-output plateaued functions is established. The Walsh spectra distribution of Multi-output plateaued functions is given under certain conditions. Pointed that when any nonzero linear combination of the coordinate functions of the multi-output plateaued functions are not balanced, the relationship among the number of input variables, number of output variables and the order satisfy .