A characterization of a class of maximum nonlinear functions

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dc.creatorHertel, Doreen
dc.creatorPott, Alexander
dc.date2005-08-01
dc.date.accessioned2026-07-07T05:22:09Z
dc.date.available2026-07-07T05:22:09Z
dc.descriptionMaximum nonlinear functions on finite fields are widely used in cryptography because the coordinate functions have large distance to linear functions. More precisely, the Hamming distance to the characteristic functions of hyperplanes is large. One class of maximum nonlinear functions are the Gold power functions We characterize these functions in terms of the distance of their coordinate functions to characteristic functions of subspaces of codimension 2.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/math/0508034
dc.identifierhttp://arxiv.org/abs/math/0508034
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75949
dc.subjectCombinatorics
dc.subject94A55; 11T71
dc.titleA characterization of a class of maximum nonlinear functions
dc.typetext

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