Affinity of permutations of \(\mathbb F_{2}^{n}\)

DOI10.1016/j.dam.2005.03.022zbMath1089.94020OpenAlexW2023638163MaRDI QIDQ2489926

Xiang-Dong Hou

Publication date: 28 April 2006

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.dam.2005.03.022

zbMATH Keywords

permutation groupquadratic functiongeneral linear groupalmost perfect nonlinear functiongeneral affine group

Mathematics Subject Classification ID

Permutations, words, matrices (05A05) Cryptography (94A60)

Related Items (24)

On CCZ-inequivalence of some families of almost perfect nonlinear functions to permutations ⋮ A note on APN permutations in even dimension ⋮ If a generalised butterfly is APN then it operates on 6 bits ⋮ Sparse permutations with low differential uniformity ⋮ A further study on bridge structures and constructing bijective S-boxes for low-latency masking ⋮ Decomposition of Dillon's APN permutation with efficient hardware implementation ⋮ On EA-equivalence of certain permutations to power mappings ⋮ Almost perfect and planar functions ⋮ On Cryptographically Significant Mappings over GF(2 n ) ⋮ Unnamed Item ⋮ Some results concerning cryptographically significant mappings over \(\text{GF}(2^{n})\) ⋮ Permutation polynomials and their differential properties over residue class rings ⋮ Differentially low uniform permutations from known 4-uniform functions ⋮ Wave-shaped round functions and primitive groups ⋮ A triple-error-correcting cyclic code from the Gold and Kasami-Welch APN power functions ⋮ Permutation polynomials EA-equivalent to the inverse function over \(\mathrm{GF}(2^n)\) ⋮ ON CONSTRUCTING APN PERMUTATIONS USING SUBFUNCTIONS ⋮ Primitivity of the group of a cipher involving the action of the key-schedule ⋮ Almost perfect nonlinear families which are not equivalent to permutations ⋮ On an algorithm generating 2-to-1 APN functions and its applications to ``The big APN problem ⋮ On differential uniformity and nonlinearity of functions ⋮ Perfect nonlinear functions and cryptography ⋮ Construction of Lightweight S-Boxes Using Feistel and MISTY Structures ⋮ On the differential equivalence of APN functions

Cites Work

• Codes, bent functions and permutations suitable for DES-like cryptosystems
• \(AGL(m,2)\) acting on \(R(r,m)/R(s,m)\)
• Almost perfect nonlinear power functions on \(\mathrm{GF}(2^n)\): the Niho case.
• \(GL(m,2)\) acting on \(R(r,m)/R(r-1,m)\)
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Affinity of permutations of \(\mathbb F_{2}^{n}\)