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Gilbert-Varshamov type bounds for linear codes over finite chain rings

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Publication:874420
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DOI10.3934/amc.2007.1.99zbMath1113.94012OpenAlexW2020044431MaRDI QIDQ874420

Ferruh Özbudak, Patrick Solé

Publication date: 5 April 2007

Published in: Advances in Mathematics of Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/amc.2007.1.99


zbMATH Keywords

linear codesasymptotic boundsGilbert-Varshamov boundfinite chain rings


Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Finite rings and finite-dimensional associative algebras (16P10) Linear codes (general theory) (94B05) Bounds on codes (94B65)


Related Items (3)

Density of free modules over finite chain rings ⋮ Constructing self-dual codes over \(\mathbb{F}_q[u/(u^t)\)] ⋮ Asymptotically good \(\mathbb{Z}_{p^r} \mathbb{Z}_{p^s} \)-additive cyclic codes




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