Quasigroups and rings in coding theory and cryptography
Prikladnaâ diskretnaâ matematika, no. 4 (2012), pp. 31-52
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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.
Mots-clés :
nonassociative algebraic structure
Keywords: graded ring, quasigroup ring, Moufang loop, commutator quasigroup, cryptoschemes, linearly optimal code.
Keywords: graded ring, quasigroup ring, Moufang loop, commutator quasigroup, cryptoschemes, linearly optimal code.
@article{PDM_2012_4_a2,
author = {V. T. Markov and A. V. Mikhalev and A. V. Gribov and P. A. Zolotykh and S. S. Skazhenik},
title = {Quasigroups and rings in coding theory and cryptography},
journal = {Prikladna\^a diskretna\^a matematika},
pages = {31--52},
publisher = {mathdoc},
number = {4},
year = {2012},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/PDM_2012_4_a2/}
}
TY - JOUR AU - V. T. Markov AU - A. V. Mikhalev AU - A. V. Gribov AU - P. A. Zolotykh AU - S. S. Skazhenik TI - Quasigroups and rings in coding theory and cryptography JO - Prikladnaâ diskretnaâ matematika PY - 2012 SP - 31 EP - 52 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/PDM_2012_4_a2/ LA - ru ID - PDM_2012_4_a2 ER -
%0 Journal Article %A V. T. Markov %A A. V. Mikhalev %A A. V. Gribov %A P. A. Zolotykh %A S. S. Skazhenik %T Quasigroups and rings in coding theory and cryptography %J Prikladnaâ diskretnaâ matematika %D 2012 %P 31-52 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/PDM_2012_4_a2/ %G ru %F PDM_2012_4_a2
V. T. Markov; A. V. Mikhalev; A. V. Gribov; P. A. Zolotykh; S. S. Skazhenik. Quasigroups and rings in coding theory and cryptography. Prikladnaâ diskretnaâ matematika, no. 4 (2012), pp. 31-52. http://geodesic.mathdoc.fr/item/PDM_2012_4_a2/