On the construction of bent vectorial functions. (11th March 2010)

• Record Type: Journal Article
• Authors: Carlet, Claude; Mesnager, Sihem
• Is Part Of: International journal of information and coding theory. Volume 1:Number 2(2010)
• Page Start: 133
• Page End: 148
• Publication Date: 2010-03-11
• Subjects: block ciphers -- S-box -- vectorial functions -- bent functions -- Walsh-Hadamard transform -- nonlinear Boolean functions -- multi-output Boolean functions -- linear attacks -- differential attacks -- cryptosystems -- substitution boxes -- cryptography -- security; Coding theory -- Periodicals; Information theory -- Periodicals; 003.54
• Languages: English
• ISSNs: 1753-7703

Abstract

This paper is devoted to the constructions of bent vectorial functions, that is, maximally non-linear multi-output Boolean functions. Such functions contribute to an optimal resistance to both linear and differential attacks of those cryptosystems in which they are involved as substitution boxes (S-boxes). We survey, study more in details and generalise the known primary and secondary constructions of bent functions, and we introduce new ones.