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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Bibliographic Details
Date:2019
Main Authors: Fotue-Tabue, A., Mouaha, C.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2019
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.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine