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Bent functions from a finite abelian group into a finite abelian group
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V.I. Solodovnikov
Published/Copyright:
February 2, 2016
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
© 2016 by Walter de Gruyter Berlin/Boston
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Articles in the same Issue
- Editorial
- Clones determined by alternating monoids
- Bent functions from a finite abelian group into a finite abelian group
- Transitive polynomial transformations of residue class rings
- On conditions of efficiency of a solution of a multicriteria discrete problem
- An estimate of mean efficiency of search trees for arbitrary sets of binary words
- Limit distributions of the number of collections of H -equivalent segments in the triangular array scheme of equiprobable polynomial trials
- The loops of order six
- Forthcoming Papers
- Forthcoming Papers
