On \(\mathbb{Z}_{p^r}\mathbb{Z}_{p^s}\)-additive cyclic codes

DOI10.3934/amc.2018011zbMath1414.94923OpenAlexW2790723231MaRDI QIDQ1783714

Joaquim Borges, Roger Ten-Valls, Cristina Fernández-Córdoba

Publication date: 21 September 2018

Published in: Advances in Mathematics of Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/amc.2018011

zbMATH Keywords

dualitycyclic codescodes over ringsadditive codes

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Other types of codes (94B60) Cyclic codes (94B15)

Related Items (5)

\(\mathbb{F}_qR\)-linear skew cyclic codes ⋮ Gray images of cyclic codes over \(\mathbb{Z}_{p^2}\) and \(\mathbb{Z}_p \mathbb{Z}_{p^2}\) ⋮ Additive double polycyclic codes over \(\mathbb{F}_{p^2}\) and their applications to quantum codes ⋮ On the number of \(\mathbb{Z}_2 \mathbb{Z}_4\) and \(\mathbb{Z}_p \mathbb{Z}_{p^2}\)-additive cyclic codes ⋮ Asymptotically good \(\mathbb{Z}_{p^r} \mathbb{Z}_{p^s} \)-additive cyclic codes

Cites Work

• On double cyclic codes over \(\mathbb{Z}_4\)
• \(\mathbb Z_2\mathbb Z_4\)-linear codes: Generator matrices and duality
• Cyclic codes over the integers modulo \(p^m\).
• Modular and \(p\)-adic cyclic codes
• \(\mathbb Z_2\)-double cyclic codes
• ${\mathbb {Z}}_{2}{\mathbb {Z}}_{4}$ -Additive Cyclic Codes, Generator Polynomials, and Dual Codes
• $\BBZ_{2}\BBZ_{4}$ -Additive Cyclic Codes
• On ℤ_p^rℤ_p^s-additive codes
• Cyclic and Negacyclic Codes Over Finite Chain Rings

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