The Gray images of \((1+u)\) constacyclic codes over \(\mathbb F_{2^m}[u]/\langle u^k\rangle\)

DOI10.1007/s12190-014-0847-5zbMath1358.94095OpenAlexW2472707096MaRDI QIDQ500008

Hong-ju Li, Jian Ding

Publication date: 7 October 2015

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

Full work available at URL: https://doi.org/10.1007/s12190-014-0847-5

zbMATH Keywords

linear codecyclic codeGray mapconstacyclic code

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cyclic codes (94B15)

Related Items (3)

Ranks of repeated-root constacyclic code ⋮ Polynomial functions on rings of dual numbers over residue class rings of the integers ⋮ \((1+\lambda u^2)\)-constacyclic codes of arbitrary length over \(F_{p^m}[u/\langle u^3\rangle \)]

Cites Work

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• On \((1 - u)\)-cyclic codes over \(\mathbb F_{p^k}+u\mathbb F_{p^k}\)
• Some constacyclic codes over \({\mathbb Z}_{2^k}\) and binary quasi-cyclic codes.
• Constacyclic codes over \(\mathbb F_2 + u\mathbb F_2\)
• (1 + u) constacyclic and cyclic codes over \(F_{2} + uF_{2}\)
• \((1+\lambda u)\)-constacyclic codes over \(\mathbb F_{p}[u/\langle u^m\rangle\)]
• On BCH codes over arbitrary integer tings (Corresp.)
• Codes over integer residue rings
• The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
• Negacyclic and cyclic codes over Z/sub 4/
• Z(p/sup k+1/)-linear codes

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