Dualities over the cross product of the cyclic groups of order 2

Basit Öğe Kaydı
dc.authoridhttps://orcid.org/0000-0002-2084-6260
dc.authorscopusid55420759300
dc.authorscopusid26325279300
dc.authorwosidABB-4228-2020
dc.authorwosidCOV-5724-2022
dc.contributor.authorDougherty, S.T.
dc.contributor.authorŞahinkaya, Serap
dc.date.accessioned2024-08-28T08:09:01Z
dc.date.available2024-08-28T08:09:01Z
dc.date.issued2024
dc.departmentFakülteler, Mühendislik Fakültesi, Mühendislik Temel Bilimleri Bölümü
dc.description.abstractWe determine the number of symmetric dualities on the s-fold cross product of the cyclic group of order 2, which is the additive group of the finite field F2s. We show that the ratio of symmetric dualities over all dualities goes to 0 as s goes to infinity.We also prove a surprising result that given any two binary codes C and D of the same length n with |C
dc.description.abstractD| = 2n, then viewing them as groups there is a symmetric duality M with CM = D, which also relates their weight enumerators as additive codes in a group via the MacWilliams relations. Using this theorem we show that any additive code in this setting can be viewed as an additive complementary dual code of length 1 with respect to some duality.
dc.identifier.citationDougherty S.T. ve Şahinkaya S. (2024).Dualities over the cross product of the cyclic groups of order 2. Advances in Mathematics of Communications, 18 (5), 1531 - 1546. DOI: 10.3934/amc.2023005
dc.identifier.doi10.3934/amc.2023005
dc.identifier.endpage1546en_US
dc.identifier.issn1930-5346
dc.identifier.issn1930-5338
dc.identifier.issue5en_US
dc.identifier.scopus2-s2.0-85199263873
dc.identifier.scopusqualityQ1
dc.identifier.startpage1531en_US
dc.identifier.urihttps://hdl.handle.net/20.500.13099/373
dc.identifier.volume18en_US
dc.identifier.wosWOS:000940898900001
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorŞahinkaya, Serap
dc.language.isoen
dc.publisherAmerican Institute of Mathematical Sciences
dc.relation.ispartofAdvances in Mathematics of Communications
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectAdditive codes
dc.subjectduality
dc.subjectMacWilliams relations
dc.titleDualities over the cross product of the cyclic groups of order 2
dc.typeArticle

Dosyalar

Lisans paketi
Listeleniyor 1 - 1 / 1
[ X ]
İsim:
license.txt
Boyut:
1.44 KB
Biçim:
Item-specific license agreed upon to submission
Açıklama:
İndir

Koleksiyon

Mühendislik Fakültesi Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu
WoS İndeksli Yayınlar Koleksiyonu