Cyclic codes over $\mathbb{Z}_{4}+u\mathbb{Z}_{4}+u^{2}\mathbb{Z}_{4}$

DOI10.3906/MAT-1602-35zbMath1424.94084OpenAlexW2759382849MaRDI QIDQ4633363

N. T. Özzaim, Nuh Aydin, Mehmet Ozen

Publication date: 2 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1602-35

zbMATH Keywords

Galois extensionscyclic codescodes over ringscodes over \(\mathbb{Z}_4\)

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Bounds on codes (94B65)

Related Items (4)

Construction of reversible cyclic codes over ℤ_pk ⋮ Cyclic and constacyclic codes over the ring Z4[u/⟨u3 − u2⟩ and their Gray images] ⋮ On some constacyclic codes over \(\mathbb {Z}_{4}[u /\langle u^{2}-1\rangle \), their \(\mathbb {Z}_4\) images, and new codes] ⋮ Cyclic DNA codes over the ring $\mathbb{Z}_4+u\mathbb{Z}_4+u^2\mathbb{Z}_4$

Uses Software

• Z4 database

Cites Work

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• On cyclic codes over the ring \(\mathbb Z_p[u/\langle u^k\rangle\)]
• On cyclic codes over \(\mathbb{Z}_4\) + \(u\mathbb{Z}_4\) and their \(\mathbb{Z}_4\)-images
• Independence of vectors in codes over rings
• Cyclic codes over \({\mathbb{F}}_2 + u{\mathbb{F}}_2 + v{\mathbb{F}}_2 + uv{\mathbb{F}}_2\)
• Some results on cyclic codes over ℤq + uℤq
• Cyclic and Negacyclic Codes Over Finite Chain Rings
• Cyclic codes and self-dual codes over F/sub 2/+uF/sub 2/

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