Gold and Kasami-Welch functions, quadratic forms, and bent functions

DOI10.3934/amc.2007.1.243zbMath1221.11237OpenAlexW2034168611MaRDI QIDQ629761

Gary McGuire, Jyrki Lahtonen, Harold N. Ward

Publication date: 10 March 2011

Published in: Advances in Mathematics of Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/amc.2007.1.243

zbMATH Keywords

quadratic formbent functionWalsh-Hadamard transform

Mathematics Subject Classification ID

Other character sums and Gauss sums (11T24) Cyclic codes (94B15)

Related Items (15)

Zeta functions of quadratic Artin–Schreier curves in characteristic two ⋮ Explicit evaluation of Walsh transforms of a class of Gold type functions ⋮ Four decades of research on bent functions ⋮ Spectra of Boolean Functions, Subspaces of Matrices, and Going Up Versus Going Down ⋮ Near bent functions on a hyperplane ⋮ More on quadratic functions and maximal Artin-Schreier curves ⋮ More constructions of near optimal codebooks associated with binary sequences ⋮ Generalization of some results on Gold and Kasami-Welch functions ⋮ Results on the Crosscorrelation and Autocorrelation of Sequences ⋮ MORE CONSTRUCTIONS OF APPROXIMATELY MUTUALLY UNBIASED BASES ⋮ Walsh transforms of trace forms with three or more terms and some maximal Artin-Schreier curves ⋮ Quadratic almost bent functions -- their partial characterization and design in the spectral domain ⋮ A NOTE ON SOME CHARACTER SUMS OVER FINITE FIELDS ⋮ Construction of APN permutations via Walsh zero spaces ⋮ A Correction and Improvements of Some Recent Results on Walsh Transforms of Gold Type and Kasami-Welch Type Functions

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