Cryptographic algorithms on groups and algebras
Fundamentalʹnaâ i prikladnaâ matematika, Tome 20 (2015) no. 1, pp. 205-222
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We analyze algorithms for open construction of a key on some noncommutative group. Algorithms of factorization and decomposition for associative algebras (of small dimension) are considered. A survey of applications (in particular, in cryptography) of so-called “hidden matrices” is given.
@article{FPM_2015_20_1_a10,
author = {A. S. Kuzmin and V. T. Markov and A. A. Mikhalev and A. V. Mikhalev and A. A. Nechaev},
title = {Cryptographic algorithms on groups and algebras},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {205--222},
publisher = {mathdoc},
volume = {20},
number = {1},
year = {2015},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2015_20_1_a10/}
}
TY - JOUR AU - A. S. Kuzmin AU - V. T. Markov AU - A. A. Mikhalev AU - A. V. Mikhalev AU - A. A. Nechaev TI - Cryptographic algorithms on groups and algebras JO - Fundamentalʹnaâ i prikladnaâ matematika PY - 2015 SP - 205 EP - 222 VL - 20 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/FPM_2015_20_1_a10/ LA - ru ID - FPM_2015_20_1_a10 ER -
%0 Journal Article %A A. S. Kuzmin %A V. T. Markov %A A. A. Mikhalev %A A. V. Mikhalev %A A. A. Nechaev %T Cryptographic algorithms on groups and algebras %J Fundamentalʹnaâ i prikladnaâ matematika %D 2015 %P 205-222 %V 20 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/FPM_2015_20_1_a10/ %G ru %F FPM_2015_20_1_a10
A. S. Kuzmin; V. T. Markov; A. A. Mikhalev; A. V. Mikhalev; A. A. Nechaev. Cryptographic algorithms on groups and algebras. Fundamentalʹnaâ i prikladnaâ matematika, Tome 20 (2015) no. 1, pp. 205-222. http://geodesic.mathdoc.fr/item/FPM_2015_20_1_a10/