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Negacyclic codes of prime power length over the finite non-commutative chain ring 𝔽pm[u,𝜃] 〈u2〉 - MaRDI portal

Negacyclic codes of prime power length over the finite non-commutative chain ring 𝔽pm[u,𝜃] 〈u2〉 (Q5063263)

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scientific article; zbMATH DE number 7492712

Language	Label	Description	Also known as
English	Negacyclic codes of prime power length over the finite non-commutative chain ring 𝔽pm[u,𝜃] 〈u2〉	scientific article; zbMATH DE number 7492712

Statements

scholarly article

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Negacyclic codes of prime power length over the finite non-commutative chain ring 𝔽pm[u,𝜃] 〈u2〉 (English)

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Teeramet Inchaisri

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Chakkrid Klin-eam

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Discrete Mathematics, Algorithms and Applications

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publication date

17 March 2022

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zbMATH Keywords

left negacyclic codes

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non-commutative rings

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skew polynomials

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repeated-root codes

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MaRDI profile type

MaRDI publication profile

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On the generators of Z/sub 4/ cyclic codes of length 2/sup e/

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Cyclic codes over \(\mathbb{Z}_{4}\) of oddly even length.

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Negacyclic codes over Z/sub 4/ of even length

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The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes

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On repeated-root cyclic codes

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

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Negacyclic Codes of Length&lt;tex&gt;$2^s$&lt;/tex&gt;Over Galois Rings

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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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On constacyclic codes of length \(p^s\) over \(\mathbb{F}_{p^m} [ u , v ] \slash \langle u^2 , v^2 , u v - v u \rangle \)

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Cyclic and Negacyclic Codes Over Finite Chain Rings

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Algebraic Coding Theory Over Finite Commutative Rings

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Euclidean self-dual codes over non-commutative Frobenius rings

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On the complexity of decoding Reed-Solomon codes (Corresp.)

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A family of constacyclic codes over \(\mathbb F_{2} + u\mathbb F_{2} + v\mathbb F_{2} + uv\mathbb F_{2}\)

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NEGACYCLIC CODES OF LENGTH 8p s OVER F p m + uF p m

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Repeated-root cyclic codes

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On Generalized Reed–Solomon Codes Over Commutative and Noncommutative Rings

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Polynomial Codes Over Certain Finite Fields

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Repeated-root cyclic and negacyclic codes over a finite chain ring

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Repeated-root constacyclic codes of arbitrary lengths over the Galois ring GR(p2,m)

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Cyclic codes over a non-commutative finite chain ring

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Negacyclic and cyclic codes over Z/sub 4/

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full work available at URL

https://doi.org/10.1142/s1793830921500919

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Identifiers

zbMATH Open document ID

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10.1142/S1793830921500919

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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:5063263

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