Complete classification of cyclic codes of length 3ps over 𝔽pm + u𝔽pm + u2𝔽pm (Q6132237)

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scientific article; zbMATH DE number 7712644

Language	Label	Description	Also known as
English	Complete classification of cyclic codes of length 3ps over 𝔽pm + u𝔽pm + u2𝔽pm	scientific article; zbMATH DE number 7712644

Statements

scholarly article

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Complete classification of cyclic codes of length 3ps over 𝔽pm + u𝔽pm + u2𝔽pm (English)

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Mohamed El Hassani Charkani

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Discrete Mathematics, Algorithms and Applications

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publication date

14 July 2023

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zbMATH Keywords

cyclic code

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cyclotomic polynomial

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error-correcting codes

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1142/s1793830922500914

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Calculating cyclotomic polynomials

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Repeated-root constacyclic codes of length \(\ell p^s\) and their duals

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

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Repeated-root constacyclic codes of length

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ON REPEATED-ROOT CONSTACYCLIC CODES OF LENGTH 4p<sup>s</sup>

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Structure of repeated-root constacyclic codes of length \(3p^s\) and their duals

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Cyclic and Negacyclic Codes Over Finite Chain Rings

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Cyclic codes over \(\text{GR}(p^2,m)\) of length \(p^k\)

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A note on cyclic codes over \(\mathrm{GR}(p^{2},m)\) of length \(p^{k}\)

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Complete classification of repeated-root \(\sigma\)-constacyclic codes of prime power length over \(\mathbb{F}_{p^m} [ u ] \slash \langle u^3 \rangle \)

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Cyclic and negacyclic codes of length \(2p^s\) over \(\mathbb F_{p^m}+u\mathbb F_{p^m}\)

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Class Field Theory

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Explicit constructions of cyclic and negacyclic codes of length 3ps over 𝔽pm + u𝔽pm

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Completely primary rings. IV. Chain conditions

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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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Repeated-root constacyclic codes of length \(2p^s\) over \(\mathbb{F}_{p^m}+u\mathbb{F}_{p^m}+u^2\mathbb{F}_{p^m} \)

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Explicit factorizations of cyclotomic polynomials over finite fields

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Identifiers

10.1142/s1793830922500914

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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:6132237

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