A class of linear codes of length 2 over finite chain rings (Q3298347)

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scientific article

Language	Label	Description	Also known as
English	A class of linear codes of length 2 over finite chain rings	scientific article

Statements

scholarly article

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A class of linear codes of length 2 over finite chain rings (English)

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Songsak Sriboonchitta

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publication date

14 July 2020

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zbMATH Keywords

linear codes

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constacyclic codes

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generator matrix

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finite chain rings

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MaRDI profile type

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Constacyclic codes over \(\mathbb F_2 + u\mathbb F_2\)

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On \((1 - u)\)-cyclic codes over \(\mathbb F_{p^k}+u\mathbb F_{p^k}\)

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Constacyclic codes of length \(np^s\) over \(\mathbb{F}_{p^m}+u\mathbb{F}_{p^m}\)

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On constacyclic codes over finite chain rings

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Complete classification of \((\delta +\alpha u^2)\)-constacyclic codes over \(\mathbb {F}_{3^m}[u]/\langle u^4\rangle \) of length \(3n\)

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Complete classification of \((\delta + \alpha u^2)\)-constacyclic codes over \(\mathbb{F}_{2^m} [u]/\langle u^4 \rangle\) of oddly even length

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Repeated root cyclic \(\mathbb{F}_q\)-linear codes over \(\mathbb{F}_{q^l}\)

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A class of repeated-root constacyclic codes over \(\mathbb{F}_{p^m} [u] / \langle u^e \rangle\) of type 2

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Repeated-root constacyclic codes of prime power length over \(\frac{\mathbb{F}_{p^m} [u]}{\langle u^a \rangle}\) and their duals

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Constacyclic Codes of Length $2^s$ Over Galois Extension Rings of ${\BBF}_{2}+u{\BBF}_2$

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Constacyclic codes of length \(p^s\) over \(\mathbb F_{p^m} + u\mathbb F_{p^m}\)

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Negacyclic codes of length \(2p^s\) over \(\mathbb{F}_{p^m} + u \mathbb{F}_{p^m}\)

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On constacyclic codes of length \(4p^s\) over \(\mathbb{F}_{p^m} +u\mathbb{F}_{p^m}\)

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Cyclic and negacyclic codes of length 4ps over 𝔽pm + u𝔽pm

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Cyclic and Negacyclic Codes Over Finite Chain Rings

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Type II codes over F/sub 2/+uF/sub 2/

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On the decomposition of self-dual codes over \(\mathbb F_2 + u\mathbb F_2\) with an automorphism of odd prime order

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\((1+\lambda u)\)-constacyclic codes over \(\mathbb F_{p}[u]/\langle u^m\rangle\)

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On the structure of linear and cyclic codes over a finite chain ring

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(1 + u) constacyclic and cyclic codes over \(F_{2} + uF_{2}\)

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Complete classification of \((\delta + \alpha u^2)\)-constacyclic codes of length \(p^k\) over \(\mathbb{F}_{p^m} + u \mathbb{F}_{p^m} + u^2 \mathbb{F}_{p^m}\)

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All \(\alpha+u\beta\)-constacyclic codes of length \(np^s\) over \(\mathbb{F}_{p^m}+u\mathbb{F}_{p^m}\)

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full work available at URL

https://doi.org/10.1142/s0219498820501030

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Journal of Algebra and its Applications

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Identifiers

zbMATH Open document ID

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10.1142/S0219498820501030

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:3298347

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