A class of constacyclic codes over \({\mathbb {Z}}_{4}[u]/\langle u^{k}\rangle \)

DOI10.1007/S12190-018-1211-YzbMath1468.94441OpenAlexW2885966195MaRDI QIDQ2318310

Habibul Islam, Tushar Bag, Om Prakash

Publication date: 14 August 2019

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

Full work available at URL: https://doi.org/10.1007/s12190-018-1211-y

zbMATH Keywords

Gray mapconstacyclic codequasi-cyclic codeskew constacyclic code

Mathematics Subject Classification ID

Cyclic codes (94B15)

Related Items (9)

On the structure of cyclic codes over \(M_2(\mathbb{F}_{p}+u\mathbb{F}_{p})\) ⋮ Construction of reversible cyclic codes over ℤ_pk ⋮ Self-dual and LCD double circulant and double negacirculant codes over \({\mathbb{F}}_q+u{\mathbb{F}}_q+v{\mathbb{F}}_q\) ⋮ Unnamed Item ⋮ A class of constacyclic codes over the ring Z4[u,v/<u2,v2,uv - vu> and their Gray images] ⋮ Cyclic and LCD Codes over a Finite Commutative Semi-local Ring ⋮ On \(\mathbb{Z}_4\mathbb{Z}_4[u^3 \)-additive constacyclic codes] ⋮ New quantum codes from skew constacyclic codes over a class of non-chain rings \(R_{e, q}\) ⋮ New \(\mathbb{Z}_4\) codes from constacyclic codes over a non-chain ring

Cites Work

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• Skew-cyclic codes
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• Constacyclic codes over \(\mathbb F_2 + u\mathbb F_2\)
• Cyclic codes over the rings \(\mathbb Z_2 + u\mathbb Z_2\) and \(\mathbb Z_2 + u\mathbb Z_2 + u^2 \mathbb Z_2\)
• On constacyclic codes over \(\mathbb{Z}_4 [u / \langle u^2 - 1 \rangle\) and their Gray images]
• Cyclic and some constacyclic codes over the ring \(\frac{\mathbb{Z}_4 [u}{\langle u^2 - 1 \rangle}\)]
• SKEW CYCLIC CODES OVER F_p+ vF_p

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