Bent functions from a finite abelian group into a finite abelian group

Name: Bent functions from a finite abelian group into a finite abelian group
Creator: Solodovnikov, V. I.
Keywords: Finite abelian groups, Cryptography, 0102 computer and information sciences, Boolean functions, 0101 mathematics, 01 natural sciences

Solodovnikov, V. I.

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Discrete Mathematics and Applications

Article . 2002 . Peer-reviewed

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https://dx.doi.org/10.1515/dma...

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Bent functions from a finite abelian group into a finite abelian group

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2002Publisher:Walter de Gruyter GmbHJournal:Discrete Mathematics and Applications, volume 12 (issn: 0924-9265, eissn: 1569-3929,

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Authors: Solodovnikov, V. I.;

doi: 10.1515/dma-2002-0203

Bent functions from a finite abelian group into a finite abelian group

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Abstract

AbstractWe introduce the notions of an absolutely non-homomorphic function, a minimal function (farthest from homomorphisms) and a bent function, and prove that the class of bent functions coincides with the class of absolutely non-homomorphic functions, a function is uniquely determined by the distances to homomorphisms with shifts, and that in the primary case the bent functions are absolutely minimal.

Keywords

Finite abelian groups, Cryptography, Boolean functions

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