\((1+\lambda u^2)\)-constacyclic codes of arbitrary length over \(F_{p^m}[u]/\langle u^3\rangle \)

DOI10.1007/s12190-018-1183-yzbMath1473.94146OpenAlexW2801854652MaRDI QIDQ2317411

Jian Ding, Jing Liang, Hong-ju Li

Publication date: 9 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/s12190-018-1183-y

zbMATH Keywords

generatorcyclic codeself-dual codeconstacyclic code

Mathematics Subject Classification ID

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

Related Items (1)

The homogeneous distance of \((1+u^2)\)-constacyclic codes over \(\mathbb{F}_2[u/\langle u^3\rangle\) and its applications]

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Gray images of \((1+u)\) constacyclic codes over \(\mathbb F_{2^m}[u/\langle u^k\rangle\)]
• Cyclic codes over \(R = F_p + uF_p + \cdots + u^{k - 1}F_p\) with length \(p^sn\)
• Complete classification of \((\delta + \alpha u^2)\)-constacyclic codes of length \(p^k\) over \(\mathbb{F}_{p^m} + u \mathbb{F}_{p^m} + u^2 \mathbb{F}_{p^m}\)
• (1 + u) constacyclic and cyclic codes over \(F_{2} + uF_{2}\)
• \((1+\lambda u)\)-constacyclic codes over \(\mathbb F_{p}[u/\langle u^m\rangle\)]

This page was built for publication: \((1+\lambda u^2)\)-constacyclic codes of arbitrary length over \(F_{p^m}[u]/\langle u^3\rangle \)