Find Better Boolean Functions in the Affine Equivalence Class

Chinese Quarterly Journal of Mathematics ›› 2005, Vol. 20 ›› Issue (4): 395-400.

Find Better Boolean Functions in the Affine Equivalence Class

Information Engineering Institute, Information Engineering University, Zhengzhou 450002, China

Received:2003-09-17 Online:2005-12-30 Published:2024-01-05
About author:CHEN Wei-hong(1966-),female,native of Baoding,Hebei,a professor of Information Engi- neering University,Ph.D.,engages in cryptography;LINa(1980-),female,native of Zhumadian,Henan,doctor candidate,engages in cryptography.

Abstract

Abstract: The Boolean functions in an affine equivalence class are of the same algebraic degree and nonlinearity, but may satisfy different order of correlation immunity and propagation criterion. A method is presented in this paper to find Boolean functions with higher order correlation immunity or satisfying higher order propagation criterion in an affine equivalence class. 8 AES s-box functions are not better Boolean functions in their affine equivalence class.

Key words: Boolean function;Walsh spectra;balance;nonlinearity;correlation immunity, propagation , criterion;AES;s-box

CLC Number:

O153.2

CHEN Wei-hong, LI Na . Find Better Boolean Functions in the Affine Equivalence Class[J]. Chinese Quarterly Journal of Mathematics, 2005, 20(4): 395-400.

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Find Better Boolean Functions in the Affine Equivalence Class

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