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An approach to the classification of Boolean bent functions of the nonlinearity degree 3
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Vladislav I. Nozdrunov
Veröffentlicht/Copyright:
5. Februar 2015
Abstract
We consider an approach to the classification of n-variable Boolean bent functions of the nonlinearity degree 3. We utilize the apparatus of bent rectangles introduced by S. V. Agievich. This apparatus was used for the classification of 8-variable Boolean cubic bent functions. The results of our research allow to construct cubic bent functions that depend on an arbitrary even number of variables; the construction is based on well studied quadratic bent functions.
Received: 2014-8-18
Published Online: 2015-2-5
Published in Print: 2015-2-1
© 2015 by Walter de Gruyter Berlin/Boston
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Artikel in diesem Heft
- Frontmatter
- Nonnegative basis of a lattice
- Application of non-associative groupoids to the realization of an open key distribution procedure
- An approach to the classification of Boolean bent functions of the nonlinearity degree 3
- Asymptotically free action of permutation groups on subsets and multisets
- The structure of finite abelian n-ary groups
- Analysis of a discrete semi-Markov model of continuous inventory control with periodic interruptions of consumption
Schlagwörter für diesen Artikel
bent functions;
bent rectangles;
quadratic forms;
affine transformations
Artikel in diesem Heft
- Frontmatter
- Nonnegative basis of a lattice
- Application of non-associative groupoids to the realization of an open key distribution procedure
- An approach to the classification of Boolean bent functions of the nonlinearity degree 3
- Asymptotically free action of permutation groups on subsets and multisets
- The structure of finite abelian n-ary groups
- Analysis of a discrete semi-Markov model of continuous inventory control with periodic interruptions of consumption
