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Application of non-associative groupoids to the realization of an open key distribution procedure
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Sergey Yu. Katyshev
,
Viktor T. Markov
Published/Copyright:
February 5, 2015
Abstract
We investigate the possibility to use non-associative groupoids in the realization of an open key distribution procedure based on a generalization of the well known Diffie-Hellman algorithm.We prove the existence of non-associative groupoidswhich are simultaneously power commuting and not power-associative.
Keywords: open key distribution; Diffie-Hellman algorithm; non-associative groupoids; medial quasigroups; finite dimensional algebras
Received: 2014-5-11
Published Online: 2015-2-5
Published in Print: 2015-2-1
© 2015 by Walter de Gruyter Berlin/Boston
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Articles in the same Issue
- 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
Keywords for this article
open key distribution;
Diffie-Hellman algorithm;
non-associative groupoids;
medial quasigroups;
finite dimensional algebras
Articles in the same Issue
- 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
