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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| Published in: | Algebra and Discrete Mathematics |
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| Date: | 2019 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2019
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/188436 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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| _version_ | 1862666337809072128 |
|---|---|
| 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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| first_indexed | 2025-12-07T15:19:28Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-188436 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| 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 |