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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Date: | 2019 |
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Main Authors: | , |
Format: | Article |
Language: | English |
Published: |
Інститут прикладної математики і механіки НАН України
2019
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Series: | Algebra and Discrete Mathematics |
Online Access: | http://dspace.nbuv.gov.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. |