Reversible Gk-codes with applications to DNA codes
dc.authorid | https://orcid.org/0000-0002-5229-4018 | |
dc.authorid | https://orcid.org/0000-0002-2084-6260 | |
dc.authorscopusid | 57206665622 | |
dc.authorscopusid | 55420759300 | |
dc.authorscopusid | 36728602600 | |
dc.authorwosid | DWJ-0396-2022 | |
dc.authorwosid | ABB-4228-2020 | |
dc.authorwosid | GQB-3301-2022 | |
dc.contributor.author | Korban, Adrian | |
dc.contributor.author | Şahinkaya, Serap | |
dc.contributor.author | Ü | |
dc.date.accessioned | 2024-07-31T13:27:13Z | |
dc.date.available | 2024-07-31T13:27:13Z | |
dc.date.issued | 2022 | |
dc.department | Fakülteler, Mühendislik Fakültesi, Bilgisayar Mühendisliği Bölümü | |
dc.description.abstract | In this paper, we give a matrix construction method for designing DNA codes that come from group matrix rings. We show that with our construction one can obtain reversible G(k)-codes of length kn, where k, n is an element of N, over the finite commutative Frobenius ring R. We employ our construction method to obtain many DNA codes over F-4 that satisfy the Hamming distance, the reverse, the reverse-complement and the fixed GC-content constraints. Moreover, we improve many lower bounds on the sizes of some known DNA codes and we also give new lower bounds on the sizes of DNA codes of lengths 48, 56, 60, 64 and 72 for some fixed values of the Hamming distance | |
dc.identifier.citation | Korban, A., Şahinkaya, S. ve Ustun, D. (2022). Reversible Gk-codes with applications to DNA codes. Des. Codes Cryptogr. 90, 1679–1694. Erişim adresi :https://doi.org/10.1007/s10623-022-01067-7 | |
dc.identifier.doi | 10.1007/s10623-022-01067-7 | |
dc.identifier.endpage | 1694 | en_US |
dc.identifier.issue | 7 | en_US |
dc.identifier.scopus | 2-s2.0-85132689977 | |
dc.identifier.scopusquality | N/A | |
dc.identifier.startpage | 1679 | en_US |
dc.identifier.uri | https://hdl.handle.net/20.500.13099/307 | |
dc.identifier.volume | 90 | en_US |
dc.identifier.wos | WOS:000815470500001 | |
dc.identifier.wosquality | Q3 | |
dc.indekslendigikaynak | Web of Science | |
dc.indekslendigikaynak | Scopus | |
dc.institutionauthor | Şahinkaya, Serap | |
dc.institutionauthor | Üstün, Deniz | |
dc.language.iso | en | |
dc.publisher | Springer Link | |
dc.relation.ispartof | Designs, Codes and Cryptography | |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
dc.rights | info:eu-repo/semantics/restrictedAccess | |
dc.subject | DNA codes | |
dc.subject | Group matrix rings | |
dc.subject | Reversible Gk-codes | |
dc.subject | DNA | |
dc.subject | Gene encoding | |
dc.subject | Construction method | |
dc.subject | DNA codes | |
dc.subject | GC contents | |
dc.subject | Group matrices | |
dc.subject | Group matrix ring | |
dc.subject | Low bound | |
dc.subject | matrix | |
dc.subject | Matrix rings | |
dc.subject | Reversible Gk-code | |
dc.title | Reversible Gk-codes with applications to DNA codes | |
dc.type | Article |