Some Properties of Correlation Function on Generalized Boolean Functions

• 作 者: ZHUO Zepeng CHONG Jinfeng WEI Shimin
• 机 构: School of Mathematical Science, Huaibei Normal University,
• 出 处: Chinese Journal of Electronics
• 发表日期: 2015年01期
• 关键词: Generalized Boolean function Generalized Walsh-Hadamard transform Crosscorrelati

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.

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.