Open AccessSome Properties of Correlation Function on Generalized Boolean Functions
Author(s) -
Zhuo Zepeng
Publication year - 2015
Publication title -
chinese journal of electronics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.267
H-Index - 25
eISSN - 2075-5597
pISSN - 1022-4653
DOI - 10.1049/cje.2015.01.027
Subject(s) - hadamard transform , mathematics , boolean function , autocorrelation , function (biology) , cryptography , pure mathematics , discrete mathematics , algorithm , mathematical analysis , statistics , evolutionary biology , biology
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.