On additive codes with one-rank hulls

dc.authoridhttps://orcid.org/0000-0002-5229-4018
dc.authoridhttps://orcid.org/0000-0002-2084-6260
dc.contributor.authorÜstün, Deniz
dc.contributor.authorŞahinkaya, Serap
dc.contributor.authorDougherty, S. T.
dc.date.accessioned2024-07-30T13:37:48Z
dc.date.available2024-07-30T13:37:48Z
dc.date.issued2024
dc.departmentFakülteler, Mühendislik Fakültesi, Bilgisayar Mühendisliği Bölümü
dc.description.abstractWe study additive codes with 1-rank hulls and examine their properties for various dualities of the finite field of order 4. We give several constructions of additive and linear codes with 1-rank hulls. We also relate these codes to additive complementary dual codes (ACD). We give an interesting non-existence result for additive codes with a 1-rank hull for the duality M2 in terms of the parity of the number of generators. We conclude by giving substantive computations finding codes with one-rank hulls for small lengths using our results.
dc.identifier.citationDougherty, S.T., Şahinkaya, S. ve Ustun, D. (2024). On additive codes with one-rank hulls. AAECC. Erişim adresi: https://doi.org/10.1007/s00200-024-00663-5
dc.identifier.doi10.1007/s00200-024-00663-5
dc.identifier.endpage16en_US
dc.identifier.issn0938-1279
dc.identifier.issn1432-0622
dc.identifier.scopus2-s2.0-85196731004
dc.identifier.scopusqualityQ1
dc.identifier.startpage1en_US
dc.identifier.urihttps://link.springer.com/article/10.1007/s00200-024-00663-5#citeas
dc.identifier.urihttps://hdl.handle.net/20.500.13099/296
dc.identifier.wosWOS:001261756300002
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorÜstün, Deniz
dc.institutionauthorŞahinkaya, Serap
dc.language.isoen
dc.publisherSpringer Link
dc.relation.ispartofApplicable Algebra in Engineering, Communication and Computing
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/restrictedAccess
dc.subjectAdditive codes
dc.subjectHull of a code
dc.subjectDuality
dc.subjectLinear Codes
dc.subjectPermutation
dc.titleOn additive codes with one-rank hulls
dc.typeArticle

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