Codes over finite quotients of polynomial rings

DOI10.1016/j.ffa.2013.09.004zbMath1305.94107OpenAlexW2087942494MaRDI QIDQ2434401

Thierry P. Berger, Nora El Amrani

Publication date: 5 February 2014

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

Full work available at URL: https://doi.org/10.1016/j.ffa.2013.09.004

zbMATH Keywords

quasi-cyclic codesdualitypolynomial ring\(q\)-ary imagecyclic codes

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cyclic codes (94B15)

Related Items (6)

SKEW-CONSTACYCLIC CODES OVER ⋮ Dual of codes over finite quotients of polynomial rings ⋮ Codes over affine algebras with a finite commutative chain coefficient ring ⋮ Codes over $\mathcal{L}(GF(2)^m,GF(2)^m)$, MDS Diffusion Matrices and Cryptographic Applications ⋮ Long quasi-polycyclic \(t\)-CIS codes ⋮ On \(\mathbb{Z}_2\mathbb{Z}_4\)-additive polycyclic codes and their Gray images

Cites Work

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• The trace description of irreducible quasi-cyclic codes
• A Class of 1-Generator Quasi-Cyclic Codes
• Self-Dual Doubly Even $2$-Quasi-Cyclic Transitive Codes Are Asymptotically Good
• On the algebraic structure of quasi-cyclic codes .I. Finite fields
• Algebraic structure of quasicyclic codes

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