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Prikladnaya Diskretnaya Matematika, 2012, Number 4(18), Pages 31–52
(Mi pdm387)
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This article is cited in 7 scientific papers (total in 7 papers)
Mathematical Methods of Cryptography
Quasigroups and rings in coding theory and cryptography
V. T. Markov, A. V. Mikhalev, A. V. Gribov, P. A. Zolotykh, S. S. Skazhenik M. V. Lomonosov Moscow State University, Moscow, Russia
Abstract:
Cryptoschemes and codes over associative and nonassociative algebraic structures are studied. A cryptoscheme over graded ring, a cryptoscheme over Moufang loop, a key agreement protocol, and linearly optimal codes are constructed.
Keywords:
nonassociative algebraic structure, graded ring, quasigroup ring, Moufang loop, commutator quasigroup, cryptoschemes, linearly optimal code.
Citation:
V. T. Markov, A. V. Mikhalev, A. V. Gribov, P. A. Zolotykh, S. S. Skazhenik, “Quasigroups and rings in coding theory and cryptography”, Prikl. Diskr. Mat., 2012, no. 4(18), 31–52
Linking options:
https://www.mathnet.ru/eng/pdm387 https://www.mathnet.ru/eng/pdm/y2012/i4/p31
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Abstract page: | 740 | Full-text PDF : | 285 | References: | 67 | First page: | 1 |
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