Binary quasi-cyclic codes of index 2 and skew polynomial rings

DOI10.1016/j.ffa.2012.02.002zbMath1278.94083OpenAlexW2072467635MaRDI QIDQ439072

Olfa Yemen, Patrick Solé

Publication date: 1 August 2012

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2012.02.002

zbMATH Keywords

skew polynomial ringsquasi-cyclic codesself-dual codesstandard basesfactorization of polynomialperiod of reversible polynomial

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Ordinary and skew polynomial rings and semigroup rings (16S36) Cyclic codes (94B15)

Related Items (2)

On the algebraic structure of quasi-cyclic codes of index \(1\frac{1}{2} \) ⋮ Quasi-cyclic codes of index 2 and skew polynomial rings over finite fields

Cites Work

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• Quasi-cyclic codes as codes over rings of matrices
• Skew-cyclic codes
• Applications of coding theory to the construction of modular lattices
• Theory of non-commutative polynomials
• Quasicyclic Codes of Index ℓ over F q Viewed as F q[x-Submodules of F q ℓ[x]/〈x m−1〉]
• On the algebraic structure of quasi-cyclic codes .I. Finite fields
• Cyclic self-dual codes
• Additive cyclic codes over \(\mathbb F_4\)

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