Self-dual additive codes

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dc.authoridSahinkaya, Serap/0000-0002-2084-6260
dc.contributor.authorDougherty, Steven T.
dc.contributor.authorKorban, Adrian
dc.contributor.authorSahinkaya, Serap
dc.date.accessioned2025-03-17T12:27:39Z
dc.date.available2025-03-17T12:27:39Z
dc.date.issued2022
dc.departmentTarsus Üniversitesi
dc.description.abstractWe define a self-dual code over a finite abelian group in terms of an arbitrary duality on the ambient space. We determine when additive self-dual codes exist over abelian groups for any duality and describe various constructions for these codes. We prove that there must exist self-dual codes under any duality for codes over a finite abelian group Z(pe). They exist for all lengths when p is prime and e is even; all even lengths when p is an odd prime with p = 1 (mod 4) and e is odd with e > 1; and all lengths that are 0 (mod 4) when p is an odd prime with p = 3 (mod 4) and e is odd with e > 1.
dc.identifier.doi10.1007/s00200-020-00473-5
dc.identifier.endpage586
dc.identifier.issn0938-1279
dc.identifier.issn1432-0622
dc.identifier.issue5
dc.identifier.scopus2-s2.0-85096379604
dc.identifier.scopusqualityQ1
dc.identifier.startpage569
dc.identifier.urihttps://doi.org/10.1007/s00200-020-00473-5
dc.identifier.urihttps://hdl.handle.net/20.500.13099/2376
dc.identifier.volume33
dc.identifier.wosWOS:000591141700001
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer
dc.relation.ispartofApplicable Algebra in Engineering Communication and Computing
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WOS_20250316
dc.subjectSelf-dual codes
dc.subjectFinite abelian groups
dc.subjectGroup characters
dc.titleSelf-dual additive codes
dc.typeArticle

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