Towards the classification of self-dual bent functions in eight variables

DOI10.1007/s10623-012-9740-0zbMath1280.94053OpenAlexW2081256890MaRDI QIDQ1952261

Thomas Feulner, Lin Sok, Alfred Wassermann, Patrick Solé

Publication date: 30 May 2013

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

Full work available at URL: https://doi.org/10.1007/s10623-012-9740-0

zbMATH Keywords

integer programmingBoolean functionsbent functionsEA-equivalence

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Linear codes (general theory) (94B05) Cryptography (94A60) Boolean functions (06E30)

Related Items (8)

The Hamming Distance Spectrum Between Self-Dual Maiorana–McFarland Bent Functions ⋮ Self-dual Hadamard bent sequences ⋮ Decomposing self-dual bent functions ⋮ Four decades of research on bent functions ⋮ Classification of \(p\)-ary self dual quadratic bent functions, \(p\) odd ⋮ METRICAL PROPERTIES OF THE SET OF BENT FUNCTIONS IN VIEW OF DUALITY ⋮ Metrical properties of self-dual bent functions ⋮ The group of automorphisms of the set of self-dual bent functions

Uses Software

• Magma

Cites Work

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• MacWilliams duality and a Gleason-type theorem on self-dual bent functions
• Self-dual bent functions
• Attacking the market split problem with lattice point enumeration
• Classification of self dual quadratic bent functions
• On ``bent functions
• Cubic bent functions
• The automorphism groups of linear codes and canonical representatives of their semilinear isometry classes
• Counting all bent functions in dimension eight 99270589265934370305785861242880
• The Rayleigh Quotient of Bent Functions

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