Type 2 constacyclic codes over \(\mathbb{F}_{2^m} [u] \slash \langle u^3 \rangle\) of oddly even length
type: Item
instance of: scholarly article
title: Type 2 constacyclic codes over \(\mathbb{F}_{2^m} [u] \slash \langle u^3 \rangle\) of oddly even length
zbMATH Open document ID: 1417.94112
author: Yuan Cao
author: Fangwei Fu
author: Yun Gao
author: Songsak Sriboonchitta
author: Yonglin Cao
author: Hai Quang Dinh
published in: Discrete Mathematics
publication date: 2018-11-29T00:00:00Z
Mathematics Subject Classification ID: 94B15
Mathematics Subject Classification ID: 11T71
zbMATH DE Number: 6986886
zbMATH Keywords: constacyclic code of type 2
zbMATH Keywords: dual code
zbMATH Keywords: linear code
zbMATH Keywords: finite chain ring
zbMATH Keywords: repeated-root code
MaRDI profile type: Publication
full work available at URL: j.disc.2018.10.005
OpenAlex ID: W2899771682
cites work: Constacyclic codes over \(\mathbb F_2 + u\mathbb F_2\)
cites work: On \((1 - u)\)-cyclic codes over \(\mathbb F_{p^k}+u\mathbb F_{p^k}\)
cites work: On constacyclic codes over finite chain rings
cites work: The Gray image of constacyclic codes over the finite chain ring \(F_{p^m}[u]/\langle u^k\rangle \)
cites work: Constacyclic codes of length \(np^s\) over \(\mathbb{F}_{p^m}+u\mathbb{F}_{p^m}\)
cites work: Complete classification of \((\delta +\alpha u^2)\)-constacyclic codes over \(\mathbb {F}_{3^m}[u]/\langle u^4\rangle \) of length \(3n\)
cites work: Complete classification of \((\delta + \alpha u^2)\)-constacyclic codes over \(\mathbb{F}_{2^m} [u]/\langle u^4 \rangle\) of oddly even length
cites work: Repeated root cyclic \(\mathbb{F}_q\)-linear codes over \(\mathbb{F}_{q^l}\)
cites work: Constacyclic codes of length \(2p^{s}\) over \(\mathbb{F}_{p^m} + u \mathbb{F}_{p^m}\)
cites work: Constacyclic Codes of Length $2^s$ Over Galois Extension Rings of ${\BBF}_{2}+u{\BBF}_2$
cites work: Constacyclic codes of length \(p^s\) over \(\mathbb F_{p^m} + u\mathbb F_{p^m}\)
cites work: Repeated-root constacyclic codes of prime power length over \(\frac{\mathbb{F}_{p^m} [u]}{\langle u^a \rangle}\) and their duals
cites work: On constacyclic codes of length \(4p^s\) over \(\mathbb{F}_{p^m} +u\mathbb{F}_{p^m}\)
cites work: Cyclic and Negacyclic Codes Over Finite Chain Rings
cites work: Cyclic and negacyclic codes of length 4ps over 𝔽pm + u𝔽pm
cites work: Negacyclic codes of length \(2p^s\) over \(\mathbb{F}_{p^m} + u \mathbb{F}_{p^m}\)
cites work: Type II codes over F/sub 2/+uF/sub 2/
cites work: Self-dual codes over commutative Frobenius rings
cites work: On the decomposition of self-dual codes over \(\mathbb F_2 + u\mathbb F_2\) with an automorphism of odd prime order
cites work: \((1+\lambda u)\)-constacyclic codes over \(\mathbb F_{p}[u]/\langle u^m\rangle\)
cites work: Complete classification of \((\delta + \alpha u^2)\)-constacyclic codes of length \(p^k\) over \(\mathbb{F}_{p^m} + u \mathbb{F}_{p^m} + u^2 \mathbb{F}_{p^m}\)
DOI: 10.1016/J.DISC.2018.10.005
description: scientific article; zbMATH DE number 6986886