Cyclic codes over the ring \(\mathbb{Z}_p [u, v] / \langle u^2, v^2, u v - v u \rangle\)

DOI10.1016/j.ffa.2015.01.005zbMath1392.94941arXiv1405.5981OpenAlexW1963547430MaRDI QIDQ2348170

Pramod Kumar Kewat, Bappaditya Ghosh, Sukhamoy Pattanayak

Publication date: 10 June 2015

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

Full work available at URL: https://arxiv.org/abs/1405.5981

zbMATH Keywords

Hamming distancecyclic codes

Mathematics Subject Classification ID

Cyclic codes (94B15)

Related Items (14)

Construction of reversible cyclic codes over ℤ_pk ⋮ Self-dual constacyclic codes of length \(2^s\) over the ring \(\mathbb{F}_{2^m}[u,v/\langle u^2, v^2, uv-vu \rangle \)] ⋮ Unnamed Item ⋮ Cyclic DNA codes over the ring \(\mathbb {F}_2+u\mathbb {F}_2+v\mathbb {F}_2+uv\mathbb {F}_2+v^2\mathbb {F}_2+uv^2\mathbb {F}_2\) ⋮ A class of constacyclic codes over the ring Z4[u,v/<u2,v2,uv - vu> and their Gray images] ⋮ Reversible complement cyclic codes over Galois rings with application to DNA codes ⋮ Repeated root cyclic codes over \(\mathbb{Z}_{p^2}+u\mathbb{Z}_{p^2}\) and their Lee distances ⋮ On constacyclic codes of length \(p^s\) over \(\mathbb{F}_{p^m} [ u , v \slash \langle u^2 , v^2 , u v - v u \rangle \)] ⋮ Cyclic codes and \(\lambda_1 + \lambda_2 u + \lambda_3 v + \lambda_4 u v\)-constacyclic codes over \(\mathbb{F}_p + u \mathbb{F}_p + v \mathbb{F}_p + u v \mathbb{F}_p\) ⋮ DNA cyclic codes over the ring 𝔽2[u,v/〈u2 − 1,v3 − v,uv − vu〉] ⋮ New \(\mathbb{Z}_4\) codes from constacyclic codes over a non-chain ring ⋮ A note on cyclic codes over ℤ4 + uℤ4 ⋮ Type I and type II codes over the ring \(\mathbb{F}_2+s \mathbb{F}_2+s^2\mathbb{F}_2\) ⋮ Classes of constacyclic codes of length \(p^s\) over the ring \(\mathbb F_{p^m}+u \mathbb F_{p^m}+v\mathbb F_{p^m}+uv\mathbb F_{p^m}\)

Cites Work

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