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Application of Constacyclic Codes over the Semi Local Ring Fp M+vfp M

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dc.authorscopusid8233535800
dc.authorscopusid55225938200
dc.authorscopusid35363583100
dc.authorscopusid36822978300
dc.contributor.authorBag, T.
dc.contributor.authorDertli, A.
dc.contributor.authorÇengellenmiş, Y.
dc.contributor.authorUpadhyay, A.K.
dc.date.accessioned2020-06-21T12:18:19Z
dc.date.available2020-06-21T12:18:19Z
dc.date.issued2020
dc.departmentOndokuz Mayıs Üniversitesien_US
dc.department-temp[Bag] Tushar, Department of Mathematics, Indian Institute of Technology Patna, Patna, BR, India; [Dertli] Abdullah, Department of Mathematics, Ondokuz Mayis University Faculty of Science and Arts, Samsun, Turkey; [Çengellenmiş] Yasemin, Department of Mathematics, Trakya Üniversitesi, Edirne, Edirne, Turkey; [Upadhyay] Ashish Kumar, Department of Mathematics, Indian Institute of Technology Patna, Patna, BR, Indiaen_US
dc.description.abstractIn this paper, we study the quantum codes over F<inf>p</inf> m, which are obtained from (λ<inf>1</inf> + λ<inf>2</inf>)-constacyclic codes over the semi local ring F<inf>p</inf> m + vF<inf>p</inf> m, where v2 = 1, p is odd prime. We decompose a (λ<inf>1</inf> + λ<inf>2</inf>)-constacyclic code over F<inf>p</inf> m + vF<inf>p</inf> m into two constacyclic codes over F<inf>p</inf> m such as (λ<inf>1</inf> + λ<inf>2</inf>)-constacyclic and (λ<inf>1</inf>–λ<inf>2</inf>)-constacyclic. We give the necessary and sufficient condition that the (λ<inf>1</inf> + vλ<inf>2</inf>)-constacyclic codes over F<inf>p</inf> m + vF<inf>p</inf> m contain their duals. We give some examples of non binary quantum codes. © 2020, Indian National Science Academy.en_US
dc.identifier.doi10.1007/s13226-020-0399-3
dc.identifier.endpage275en_US
dc.identifier.issn0019-5588
dc.identifier.issn0975-7465
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85081736080
dc.identifier.scopusqualityQ3
dc.identifier.startpage265en_US
dc.identifier.urihttps://doi.org/10.1007/s13226-020-0399-3
dc.identifier.volume51en_US
dc.identifier.wosWOS:000519450400019
dc.identifier.wosqualityQ3
dc.language.isoenen_US
dc.publisherIndian National Science Academyen_US
dc.relation.ispartofIndian Journal of Pure & Applied Mathematicsen_US
dc.relation.journalIndian Journal of Pure & Applied Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectConstacyclic Codesen_US
dc.subjectCyclic Codeen_US
dc.subjectGray Mapen_US
dc.subjectNegacyclic Codeen_US
dc.subjectQuantum Codesen_US
dc.titleApplication of Constacyclic Codes over the Semi Local Ring Fp M+vfp Men_US
dc.typeArticleen_US
dspace.entity.typePublication

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