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...
Gespeichert in:
| Veröffentlicht in: | Algebra and Discrete Mathematics |
|---|---|
| Datum: | 2019 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2019
|
| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/188436 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-188436 |
|---|---|
| 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 |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
On the lattice of cyclic codes over finite chain rings |
| spellingShingle |
On the lattice of cyclic codes over finite chain rings Fotue-Tabue, A. Mouaha, C. |
| title_short |
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_sort |
on the lattice of cyclic codes over finite chain rings |
| author |
Fotue-Tabue, A. Mouaha, C. |
| author_facet |
Fotue-Tabue, A. Mouaha, C. |
| publishDate |
2019 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| 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.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/188436 |
| 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. |
| work_keys_str_mv |
AT fotuetabuea onthelatticeofcycliccodesoverfinitechainrings AT mouahac onthelatticeofcycliccodesoverfinitechainrings |
| first_indexed |
2025-12-07T15:19:28Z |
| last_indexed |
2025-12-07T15:19:28Z |
| _version_ |
1850863274972676096 |