Title :
Research on the Balanced Boolean Functions Satisfying Strict Avalanche Criterion
Author :
Zhongwei Cao;Fangyue Chen;Bo Chen;Xia Zhang
Author_Institution :
Dept. of Math., Hangzhou Dianzi Univ., Hangzhou, China
Abstract :
The balanced Boolean functions satisfying the strict avalanche criterion (SAC) are widely used in stream cipher and block cipher. By introducing the representation matrix of the transition function of Boolean function, we provide a special method for seeking the Boolean functions satisfying the SAC. Moreover, the strong strict avalanche criterion (SSAC) of balanced Boolean function is defined and the general formula of the number of the Boolean functions satisfying SSAC is obtained.
Keywords :
"Boolean functions","Ciphers","Standards","Symmetric matrices","Encryption","Scientific computing"
Conference_Titel :
Computational Science and Computational Intelligence (CSCI), 2015 International Conference on
DOI :
10.1109/CSCI.2015.14