Research On Nega-Hadamard Transform And Negabent Function

Boolean functions are one of the important components of cryptographic algorithm,the cryptographic algorithm is based on the security of Boolean functions.In this paper,the properties and structures on Nega-Hadamard transform and Negabent functions are studied,and obtains the following main results:(1)The Nega-Hadamard transform is analyzed,some properties on Nega-Hadamard transform of Boolean functions is proved.Based on the results above,several references for the properties and construction of Negabent functions are provided.(2)The properties of Bent functions are studied,the Negabent functions with some good cryptographic propertiesare are investigated;Some problems on the method to construct new Negabent functions by the existing Negabent functions are pointed out,and two specific techniques on construction of Negabent functions are summarized,namely the direct construction and dual construction;Some results of the Negabent functions over a finite field are obtained.