The selfnegadual properties of generalized quadratic Boolean functions

DOI10.1007/s10623-012-9693-3zbMath1259.94067OpenAlexW2090134014MaRDI QIDQ1934225

Matthew G. Parker, Lars Eirik Danielsen

Publication date: 28 January 2013

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

Full work available at URL: https://doi.org/10.1007/s10623-012-9693-3

zbMATH Keywords

bent functionsquantum codesWalsh-Hadamard transformnegabent functionsnega-Hadamard transformselfdual codesFourier eigenspectrageneralised Boolean functionsselfnegadual functions

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Boolean functions (06E30)

Cites Work

• Classification of generalized Hadamard matrices \(H(6,3)\) and quaternary Hermitian self-dual codes of length 18
• Self-dual bent functions
• Classification of self dual quadratic bent functions
• On the classification of all self-dual additive codes over \(\text{GF}(4)\) of length up to 12
• Graphic presentations of isotropic systems
• Self-dual codes over GF(4)
• Parametrization of self-dual codes by orthogonal matrices
• Local unitary versus local Clifford equivalence of stabilizer states
• Pivot and Loop Complementation on Graphs and Set Systems
• The Rayleigh Quotient of Bent Functions
• Self-dual codes over<tex>GF(3)</tex>and<tex>GF(4)</tex>of length not exceeding 16
• Classification of Quaternary Hermitian Self-Dual Codes of Length 20
• On Boolean Functions Which Are Bent and Negabent
• Spectral Orbits and Peak-to-Average Power Ratio of Boolean Functions with Respect to the {I,H,N} n Transform
• Orthogonal Matrices Over Finite Fields
• Symmetric and Alternate Matrices in An Arbitrary Field, I

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