Cyclic and Constacyclic Codes for F₂[u,v]/<u²,v³ – v,uv,vu>

DOI10.18311/jims/2022/30791OpenAlexW4292731329MaRDI QIDQ5868057

St. Timothy Kom, Th. Rojita Chanu, O. Ratnabala Devi

Publication date: 19 September 2022

Published in: The Journal of the Indian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.18311/jims/2022/30791

zbMATH Keywords

cyclic codeconstacyclic codegray map

Mathematics Subject Classification ID

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

Cites Work

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• Structure of codes over the ring \(Z_3[v/\langle v^3 - v\rangle\)]
• \((1 + v)\)-constacyclic codes over \(\mathbb F_2 + u\mathbb F_2 + v\mathbb F_2 + uv\mathbb F_2\)
• Cyclic DNA codes over \(\mathbb{F}_2+u\mathbb{F}_2+v\mathbb{F}_2+uv\mathbb{F}_2\) and their applications
• A study of cyclic and constacyclic codes over \(\mathbb Z_{4} + u\mathbb Z_{4} + v\mathbb Z_{4}\)
• (1 + u) constacyclic and cyclic codes over \(F_{2} + uF_{2}\)
• Cyclic codes over the rings \(\mathbb Z_2 + u\mathbb Z_2\) and \(\mathbb Z_2 + u\mathbb Z_2 + u^2 \mathbb Z_2\)
• Cyclic codes over \({\mathbb{F}}_2 + u{\mathbb{F}}_2 + v{\mathbb{F}}_2 + uv{\mathbb{F}}_2\)
• The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes

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