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Involutory permutation automorphisms of binary linear codes

dc.contributor.authorAltunbulak Aksu, Fatma
dc.contributor.authorHafezieh, Roghayeh
dc.contributor.authorTuvay, Ipek
dc.date.accessioned2025-01-09T20:07:55Z
dc.date.available2025-01-09T20:07:55Z
dc.date.issued2023
dc.identifier.issn0219-4988
dc.identifier.issn1793-6829
dc.identifier.urihttps://doi.org/10.1142/S0219498825501373
dc.identifier.urihttps://hdl.handle.net/20.500.14124/7842
dc.description.abstractWe investigate the properties of binary linear codes of even length whose permutation automorphism group is a cyclic group generated by an involution. Up to dimension or co-dimension 4, we show that there is no quasi-group code whose permutation automorphism group is isomorphic to C-2. By generalizing the method we use to prove this result, we obtain results on the structure of putative extremal self-dual [16, 36, 72] and [20, 48, 96] codes in the presence of an involutory permutation automorphism.en_US
dc.description.sponsorshipScientific and Technological Research Council of Turkey (Tubitak) [Bideb-2219]en_US
dc.description.sponsorshipThe third author was partially supported by the Scientific and Technological Research Council of Turkey (Tubitak) through the research program Bideb-2219. The authors would like to thank the anonymous referee for carefully reading of the paper and for valuable suggestions.en_US
dc.language.isoengen_US
dc.publisherWorld Scientific Publ Co Pte Ltden_US
dc.relation.ispartofJournal of Algebra and Its Applicationsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectGroup codeen_US
dc.subjectquasi-group codeen_US
dc.subjectpermutation automorphism of a codeen_US
dc.titleInvolutory permutation automorphisms of binary linear codesen_US
dc.typearticleen_US
dc.authoridALTUNBULAK AKSU, FATMA/0000-0002-6940-4666
dc.authoridTUVAY, IPEK/0000-0002-7427-9310
dc.departmentMimar Sinan Güzel Sanatlar Üniversitesien_US
dc.identifier.doi10.1142/S0219498825501373
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.identifier.wosqualityQ3
dc.identifier.wosWOS:001126637000002
dc.identifier.scopus2-s2.0-85180580838
dc.identifier.scopusqualityQ2
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.snmzKA_20250105


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