Quasi-Self-Dual Codes over a Non-Unital Ring of Order 4

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dc.contributor.authorDougherty, Steven T.
dc.contributor.authorSąhinkaya, Serap
dc.date.accessioned2025-03-17T12:22:47Z
dc.date.available2025-03-17T12:22:47Z
dc.date.issued2023
dc.departmentTarsus Üniversitesi
dc.descriptionVirtual Conference in Honor of Tariq Rizvi Noncommutative Rings and their Application VII, NCRA 2021, and Virtual Conference on Quadratic forms, rings and codes, QFRC 2021 -- 8 July 2021 through 8 July 2021 -- Virtual, Online -- 295109
dc.description.abstractWe relate quasi-self-dual codes over a non-unital ring to additive self-dual codes over the additive group of the ring. We show that the Hamming weight enumerator of a quasi-self-dual code over this non-unital ring must belong to the same ring of invariants that self-dual codes over the Frobenius rings with unities belong. Additionally, the Hamming weight enumerator of a Type IV code over E must reside in the same ring of invariants as a Type IV code over the field of order 4. © 2023 American Mathematical Society.
dc.identifier.doi10.1090/conm/785/15777
dc.identifier.endpage88
dc.identifier.isbn978-147046859-0
dc.identifier.issn0271-4132
dc.identifier.scopus2-s2.0-85163075863
dc.identifier.scopusqualityQ3
dc.identifier.startpage79
dc.identifier.urihttps://doi.org/10.1090/conm/785/15777
dc.identifier.urihttps://hdl.handle.net/20.500.13099/1377
dc.identifier.volume785
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherAmerican Mathematical Society
dc.relation.ispartofContemporary Mathematics
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_Scopus_20250316
dc.subjectCode
dc.subjectgroup
dc.subjectorthogonality
dc.subjectring
dc.titleQuasi-Self-Dual Codes over a Non-Unital Ring of Order 4
dc.typeConference Object

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