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

V.I. Solodovnikov

doi:10.1515/dma-2002-0203

Published by De Gruyter February 2, 2016

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

V.I. Solodovnikov

From the journal Discrete Mathematics and Applications

https://doi.org/10.1515/dma-2002-0203

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Abstract

We 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.

Published Online: 2016-2-2

Published in Print: 2002-4-1

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

Abstract

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