Affine Equivalency and Nonlinearity Preserving Bijective Mappings over $$\mathbb {F}_2$$

DOI10.1007/978-3-319-16277-5_7zbMath1400.94171OpenAlexW288625530MaRDI QIDQ2949476

Ali Doğanaksoy, Osmanbey Uzunkol, İsa Sertkaya, Mehmet Sabır Kiraz

Publication date: 1 October 2015

Published in: Arithmetic of Finite Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-16277-5_7

zbMATH Keywords

affine equivalenceSylvester Hadamard matricescryptographic Boolean functionsnonlinearity preserving mappings

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cryptography (94A60)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On Dillon's class \(H\) of bent functions, Niho bent functions and o-polynomials
• Note on the Mathieu group \(M_{12}\)
• An algorithm for computing the automorphism group of a Hadamard matrix
• On ``bent functions
• Codes, bent functions and permutations suitable for DES-like cryptosystems
• \(AGL(m,2)\) acting on \(R(r,m)/R(s,m)\)
• Universal affine classification of Boolean functions
• Counting all bent functions in dimension eight 99270589265934370305785861242880
• The group of automorphisms of the set of bent functions
• On the number of equivalence classes of Boolean functions under a transformation group (Corresp.)
• A Classification of the Cosets of the Reed-Muller Code R (1, 6)
• The Number of Classes of Invertible Boolean Functions
• On the Classification of Boolean Functions by the General Linear and Affine Groups
• Structures of the Affine Families of Switching Functions
• Automata, Languages and Programming

This page was built for publication: Affine Equivalency and Nonlinearity Preserving Bijective Mappings over $$\mathbb {F}_2$$