The concatenated structure of cyclic codes over \(\mathbb Z_{p^2}\)

DOI10.1007/S12190-015-0945-ZzbMath1359.94761OpenAlexW2411906085MaRDI QIDQ330389

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

Publication date: 25 October 2016

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-015-0945-z

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 (5)

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 \(\mathbb{Z}_4[v/\langle v^2+2v\rangle \)] ⋮ An explicit expression for all distinct self-dual cyclic codes of length \(p^k\) over Galois ring \(\mathrm{GR}(p^2,m)\) ⋮ 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 \(3n\)

Cites Work

• Cyclic codes over \(\text{GR}(p^2,m)\) of length \(p^k\)
• Cyclic and negacyclic codes over the Galois ring \(\text{GR}(p^2,m)\)
• 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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