Some Properties of Correlation Function on Generalized Boolean Functions. Issue 1 (1st January 2015)

• Record Type: Journal Article
• Authors: Zhuo, Zepeng
• Is Part Of: Chinese journal of electronics. Volume 24:Issue 1(2015)
• Page Start: 166
• Page End: 169
• Publication Date: 2015-01-01
• Subjects: Boolean functions -- correlation methods -- cryptography -- Hadamard transforms -- Walsh functions; generalized Boolean functions -- cross‐correlation functions -- autocorrelation function -- generalized Walsh‐Hadamard transform -- cryptographic property; Electronics -- Periodicals; Electronics -- China -- Periodicals; Electronics; China; Periodicals; 621.38105
• DOI: 10.1049/cje.2015.01.027
• Languages: English
• ISSNs: 1022-4653

Abstract

Abstract : The relationship among crosscorrelation functions of arbitrary four generalized Boolean functions is presented. Based on it, some properties of crosscorrelation function and autocorrelation function are given. The relationship between crosscorrelation function and generalized Walsh‐Hadamard transform of functions is characterized. In the process we generalized old results and get new characterizations of cryptographic properties.