On additive codes with one-rank hulls
| dc.authorid | https://orcid.org/0000-0002-5229-4018 | |
| dc.authorid | https://orcid.org/0000-0002-2084-6260 | |
| dc.contributor.author | Üstün, Deniz | |
| dc.contributor.author | Şahinkaya, Serap | |
| dc.contributor.author | Dougherty, S. T. | |
| dc.date.accessioned | 2024-07-30T13:37:48Z | |
| dc.date.available | 2024-07-30T13:37:48Z | |
| dc.date.issued | 2024 | |
| dc.department | Fakülteler, Mühendislik Fakültesi, Bilgisayar Mühendisliği Bölümü | |
| dc.description.abstract | We 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.citation | Dougherty, 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.doi | 10.1007/s00200-024-00663-5 | |
| dc.identifier.endpage | 16 | en_US |
| dc.identifier.issn | 0938-1279 | |
| dc.identifier.issn | 1432-0622 | |
| dc.identifier.scopus | 2-s2.0-85196731004 | |
| dc.identifier.scopusquality | Q1 | |
| dc.identifier.startpage | 1 | en_US |
| dc.identifier.uri | https://link.springer.com/article/10.1007/s00200-024-00663-5#citeas | |
| dc.identifier.uri | https://hdl.handle.net/20.500.13099/296 | |
| dc.identifier.wos | WOS:001261756300002 | |
| dc.identifier.wosquality | Q1 | |
| dc.indekslendigikaynak | Web of Science | |
| dc.indekslendigikaynak | Scopus | |
| dc.institutionauthor | Üstün, Deniz | |
| dc.institutionauthor | Şahinkaya, Serap | |
| dc.language.iso | en | |
| dc.publisher | Springer Link | |
| dc.relation.ispartof | Applicable Algebra in Engineering, Communication and Computing | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/restrictedAccess | |
| dc.subject | Additive codes | |
| dc.subject | Hull of a code | |
| dc.subject | Duality | |
| dc.subject | Linear Codes | |
| dc.subject | Permutation | |
| dc.title | On additive codes with one-rank hulls | |
| dc.type | Article |
