Cyclic and constacyclic codes over a non-chain ring

DOI10.13069/JACODESMATH.31486zbMath1371.94682OpenAlexW2409058913WikidataQ58473356 ScholiaQ58473356MaRDI QIDQ307888

Aysegul Bayram, Siap, Irfan

Publication date: 5 September 2016

Published in: Journal of Algebra, Combinatorics, Discrete Structures and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.13069/jacodesmath.31486

zbMATH Keywords

linear codescyclic codesconstacyclic codesMacWilliams type identitynon-chain rings

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05) Cyclic codes (94B15)

Related Items (10)

Codes over \(\mathbb F_{4}+v\mathbb F_4\) and some DNA applications ⋮ Constacyclic codes over finite commutative semi-simple rings ⋮ Cyclic DNA codes over \(\mathbb{F}_2+u\mathbb{F}_2+v\mathbb{F}_2+uv\mathbb{F}_2\) and their applications ⋮ Quadratic residue codes over the ring \(\mathbb {F}_{p}[u/\langle u^{m}-u\rangle \) and their Gray images] ⋮ Some results on \(\mathbb{F}_4[v\)-double cyclic codes] ⋮ \((1-2u^{3})\)-constacyclic codes and quadratic residue codes over \(\mathbb {F}_{p}[u/\langle u^{4}-u\rangle \)] ⋮ DNA computing over the ring ℤ4[v/〈v2 − v〉] ⋮ Cyclic codes over a non-chain ring \(R_{e,q}\) and their application to LCD codes ⋮ Polyadic constacyclic codes over a non-chain ring \(\mathbb{F}_q[u,v/\langle f(u), g(v), uv-vu\rangle\)] ⋮ Some results on linear codes over \(\mathbb {F}_p+u\mathbb {F}_p+u^2\mathbb {F}_p\)

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• Cyclic codes over \({\mathbb{F}}_2 + u{\mathbb{F}}_2 + v{\mathbb{F}}_2 + uv{\mathbb{F}}_2\)
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• Optimal Self-Dual Codes Over>tex<$ BBF _2times BBF _2$>/tex<With Respect to the Hamming Weight
• The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
• Cyclic codes and self-dual codes over F/sub 2/+uF/sub 2/

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