Classification of self dual quadratic bent functions

DOI10.1007/s10623-011-9544-7zbMath1264.06021OpenAlexW2094885097MaRDI QIDQ766243

Xiang-Dong Hou

Publication date: 23 March 2012

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10623-011-9544-7

zbMATH Keywords

symplectic grouporthogonal groupquadratic functionbent functionself-dual bent functionalternating matrix

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Boolean functions (06E30) Classical groups (11E57)

Related Items (13)

Several classes of Boolean functions with few Walsh transform values ⋮ The Hamming Distance Spectrum Between Self-Dual Maiorana–McFarland Bent Functions ⋮ The selfnegadual properties of generalized quadratic Boolean functions ⋮ Decomposing self-dual bent functions ⋮ Four decades of research on bent functions ⋮ Unnamed Item ⋮ Towards the classification of self-dual bent functions in eight variables ⋮ Classification of \(p\)-ary self dual quadratic bent functions, \(p\) odd ⋮ METRICAL PROPERTIES OF THE SET OF BENT FUNCTIONS IN VIEW OF DUALITY ⋮ Vectorial bent functions and their duals ⋮ Metrical properties of self-dual bent functions ⋮ The group of automorphisms of the set of self-dual bent functions ⋮ Equivalence for negabent functions and their relative difference sets

Cites Work

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• Self-dual bent functions
• On the asymptotic number of inequivalent binary self-dual codes
• \(GL(m,2)\) acting on \(R(r,m)/R(r-1,m)\)
• Parametrization of self-dual codes by orthogonal matrices
• The Characters of the Finite General Linear Groups
• Orthogonal Matrices Over Finite Fields

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