Investigations on -Bent4 Functions via the Unitary Transform and -Correlation Functions

摘要

In this paper, some properties of Boolean functions via theunitary transform and -correlation functions are presented. Based on theunitary transform, we present two classes of secondary constructions for -bent_4 functions. Also, by using the -correlation functions, a direct linkbetween -autocorrelation function and the unitary transform of Booleanfunctions is provided, and the relationship among -crosscorrelation functionsof arbitrary four Boolean functions can be obtained.