On the lattice of cyclic codes over finite chain rings

In this paper, R is a finite chain ring of invariants (q, s), and ℓ is a positive integer fulfilling gcd(ℓ, q) = 1. In the language of q-cyclotomic cosets modulo ℓ, the cyclic codes over R of length ℓ are uniquely decomposed into a direct sum of trace-representable cyclic codes over R and the lattic...

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Опубліковано в: :Algebra and Discrete Mathematics
Дата:2019
Автори: Fotue-Tabue, A., Mouaha, C.
Формат: Стаття
Мова:Англійська
Опубліковано: Інститут прикладної математики і механіки НАН України 2019
Онлайн доступ:https://nasplib.isofts.kiev.ua/handle/123456789/188436
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати:On the lattice of cyclic codes over finite chain rings / A. Fotue-Tabue, C. Mouaha // Algebra and Discrete Mathematics. — 2019. — Vol. 27, № 2. — С. 252–268. — Бібліогр.: 15 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Fotue-Tabue, A.
Mouaha, C.
author_facet Fotue-Tabue, A.
Mouaha, C.
citation_txt On the lattice of cyclic codes over finite chain rings / A. Fotue-Tabue, C. Mouaha // Algebra and Discrete Mathematics. — 2019. — Vol. 27, № 2. — С. 252–268. — Бібліогр.: 15 назв. — англ.
collection DSpace DC
container_title Algebra and Discrete Mathematics
description In this paper, R is a finite chain ring of invariants (q, s), and ℓ is a positive integer fulfilling gcd(ℓ, q) = 1. In the language of q-cyclotomic cosets modulo ℓ, the cyclic codes over R of length ℓ are uniquely decomposed into a direct sum of trace-representable cyclic codes over R and the lattice of cyclic codes over R of length ℓ is investigated.
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language English
last_indexed 2025-12-07T15:19:28Z
publishDate 2019
publisher Інститут прикладної математики і механіки НАН України
record_format dspace
spelling Fotue-Tabue, A.
Mouaha, C.
2023-03-01T15:42:18Z
2023-03-01T15:42:18Z
2019
On the lattice of cyclic codes over finite chain rings / A. Fotue-Tabue, C. Mouaha // Algebra and Discrete Mathematics. — 2019. — Vol. 27, № 2. — С. 252–268. — Бібліогр.: 15 назв. — англ.
1726-3255
2010 MSC: 13B05, 94B05, 94B15, 03G10, 16P10.
https://nasplib.isofts.kiev.ua/handle/123456789/188436
In this paper, R is a finite chain ring of invariants (q, s), and ℓ is a positive integer fulfilling gcd(ℓ, q) = 1. In the language of q-cyclotomic cosets modulo ℓ, the cyclic codes over R of length ℓ are uniquely decomposed into a direct sum of trace-representable cyclic codes over R and the lattice of cyclic codes over R of length ℓ is investigated.
en
Інститут прикладної математики і механіки НАН України
Algebra and Discrete Mathematics
On the lattice of cyclic codes over finite chain rings
Article
published earlier
spellingShingle On the lattice of cyclic codes over finite chain rings
Fotue-Tabue, A.
Mouaha, C.
title On the lattice of cyclic codes over finite chain rings
title_full On the lattice of cyclic codes over finite chain rings
title_fullStr On the lattice of cyclic codes over finite chain rings
title_full_unstemmed On the lattice of cyclic codes over finite chain rings
title_short On the lattice of cyclic codes over finite chain rings
title_sort on the lattice of cyclic codes over finite chain rings
url https://nasplib.isofts.kiev.ua/handle/123456789/188436
work_keys_str_mv AT fotuetabuea onthelatticeofcycliccodesoverfinitechainrings
AT mouahac onthelatticeofcycliccodesoverfinitechainrings