On some constacyclic codes over \(\mathbb {Z}_{4}[u] /\langle u^{2}-1\rangle \), their \(\mathbb {Z}_4\) images, and new codes
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Publication:1752541
DOI10.1007/s10623-017-0392-yzbMath1387.94120OpenAlexW2736662470MaRDI QIDQ1752541
Nuh Aydin, Yasemin Cengellenmis, Abdullah Dertli
Publication date: 24 May 2018
Published in: Designs, Codes and Cryptography (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10623-017-0392-y
Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05) Cyclic codes (94B15)
Related Items (13)
On the $$(1+u^2+u^3)$$ -Constacyclic and Cyclic Codes Over the Finite Ring $$ {F}_2+u{F}_2+u^2{F}_2+u^3{F}_2+v{F}_2 $$ ⋮ Self-dual and LCD double circulant and double negacirculant codes over \({\mathbb{F}}_q+u{\mathbb{F}}_q+v{\mathbb{F}}_q\) ⋮ Unnamed Item ⋮ $\mathbb{Z}_{q}(\mathbb{Z}_{q}+u\mathbb{Z}_{q})$-Linear Skew Constacyclic Codes ⋮ A class of constacyclic codes over the ring Z4[u,v/<u2,v2,uv - vu> and their Gray images] ⋮ Linear codes over \(\mathbb{F}_2 \times (\mathbb{F}_2+v\mathbb{F}_2)\) and the MacWilliams identities ⋮ A study of constacyclic codes over the ring ℤ4[u/〈u2 − 3〉] ⋮ Cyclic and constacyclic codes over the ring Z4[u/⟨u3 − u2⟩ and their Gray images] ⋮ New quantum codes from skew constacyclic codes over a class of non-chain rings \(R_{e, q}\) ⋮ On some constacyclic codes over \(\mathbb {Z}_{4}[u /\langle u^{2}-1\rangle \), their \(\mathbb {Z}_4\) images, and new codes] ⋮ Skew cyclic and skew constacyclic codes over the ring 𝔽p + u1𝔽p + ⋯ + u2m𝔽p ⋮ New \(\mathbb{Z}_4\) codes from constacyclic codes over a non-chain ring ⋮ A class of constacyclic codes over \({\mathbb {Z}}_{4}[u/\langle u^{k}\rangle \)]
Uses Software
Cites Work
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