Concatenated structure of cyclic codes over \(\mathbb {Z}_4\) of length \(4n\)

DOI10.1007/S00200-015-0283-2zbMath1344.94091OpenAlexW2460609640MaRDI QIDQ315738

Yuan Cao, Yong-Lin Cao, Qing-Guo Li

Publication date: 23 September 2016

Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00200-015-0283-2

zbMATH Keywords

cyclic codeself-dual codedual codeconcatenated structureconstacyclic code

Mathematics Subject Classification ID

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

Related Items (6)

Negacyclic codes over the local ring \(\mathbb{Z}_4 [v / \langle v^2 + 2 v \rangle\) of oddly even length and their gray images] ⋮ Complete classification for simple root cyclic codes over the local ring \(\mathbb{Z}_4[v/\langle v^2+2v\rangle \)] ⋮ Self-dual cyclic codes over \(\mathbb{Z}_4\) of length \(4n\) ⋮ An explicit representation and enumeration for negacyclic codes of length \(2^kn\) over \(\mathbb{Z}_4+u\mathbb{Z}_4\) ⋮ Constructing Self-dual cyclic codes over \({\mathbb{Z}}_{9}\) of length \(3n\) ⋮ Construction and enumeration for self-dual cyclic codes over \(\mathbb Z_4\) of oddly even length

Cites Work

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• Cyclic codes over \(\mathbb{Z}_{4}\) of oddly even length.
• Modular and \(p\)-adic cyclic codes
• Cyclic codes over \(\mathbb Z_4\) of even length
• On the generators of Z/sub 4/ cyclic codes of length 2/sup e/
• Cyclic codes and quadratic residue codes over Z/sub 4/

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