On the affine equivalence relation between two classes of Boolean functions with optimal algebraic immunity
type: Item
instance of: scholarly article
title: On the affine equivalence relation between two classes of Boolean functions with optimal algebraic immunity
zbMATH Open document ID: 1286.06023
author: Huajin Chen
author: Tian Tian
author: Wenfeng Qi
published in: Designs, Codes and Cryptography
publication date: 2013-04-03T00:00:00Z
review text: \textit{C. Carlet} et al. [Des. Codes Cryptography 52, No. 3, 303--338 (2009; Zbl 1174.94012)] and \textit{Q. C. Wang}, \textit{J. Peng}, \textit{H. B. Kan} and \textit{X. Y. Xue} [IEEE Trans. Inf. Theory 56, No. 6, 3048--3053 (2010; \url{doi:10.1109/TIT.2010.2046195})] have proposed two classes of Boolean functions with optimal algebraic immunity. The present authors prove that these classes are affine equivalent and they study the number of affine equivalence classes of these functions.
Mathematics Subject Classification ID: 06E30
Mathematics Subject Classification ID: 94A60
zbMATH DE Number: 6150034
zbMATH Keywords: algebraic immunity
zbMATH Keywords: algebraic attacks
zbMATH Keywords: Boolean functions
zbMATH Keywords: affine equivalence
reviewed by: Sergiu Rudeanu
MaRDI profile type: Publication
full work available at URL: s10623-011-9596-8
OpenAlex ID: W1996798866
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DOI: 10.1007/S10623-011-9596-8
description: scientific article; zbMATH DE number 6150034