Codes, compositions and lattices
Prikladnaâ diskretnaâ matematika, no. 1 (2008), pp. 15-20
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The questions of the coding theory, connected with its central problem are discussed. The principle model of the coding theory and cryptography – the distributive lattice – is considered. Its connection with the number composition and $c$-matroid is investigated. The lattice codes are created. The limits of the codes in the Hamming?s metric are determined.
@article{PDM_2008_1_a3,
author = {A. M. Kut'in},
title = {Codes, compositions and lattices},
journal = {Prikladna\^a diskretna\^a matematika},
pages = {15--20},
publisher = {mathdoc},
number = {1},
year = {2008},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/PDM_2008_1_a3/}
}
A. M. Kut'in. Codes, compositions and lattices. Prikladnaâ diskretnaâ matematika, no. 1 (2008), pp. 15-20. http://geodesic.mathdoc.fr/item/PDM_2008_1_a3/