(θi, λ)-constacyclic codes and DNA codes over Z4
| dc.contributor.author | Uzekmek, Fatma Zehra | |
| dc.contributor.author | Öztaş, Elif Segah | |
| dc.contributor.author | Özen, Mehmet | |
| dc.date.accessioned | 2024-10-22T12:56:48Z | |
| dc.date.available | 2024-10-22T12:56:48Z | |
| dc.date.issued | 2024 | |
| dc.department | Fakülteler, Mühendislik Fakültesi, Bilgisayar Mühendisliği Bölümü | |
| dc.description.abstract | In this paper, three new automorphisms were identified over the ring Z(4)+uZ(4)+u(2)Z(4) where u(3 )= u(2). With the help of these automorphisms, the characteristic structures of the generator polynomials for the theta i-cyclic codes and (theta(i),lambda)-constacyclic codes of odd length on this ring were investigated. Also, for all the units over the ring, Z(4)-images of theta i-cyclic and (theta(i),lambda)-constacyclic codes were reviewed with the associated codes based on determined transformations. Using these observations, new and optimal codes were obtained and presented in the table. In addition, a new transformation was identified that involved DNA base pairs with the elements of Z(4). Moreover, a unit reverse polynomial was created, and in this way a new generation method has been built to construct reversible DNA codes over this ring. Finally, this article was further enhanced with supporting examples of the DNA as a part of the study. | |
| dc.identifier.doi | 10.3934/math.20241355 | |
| dc.identifier.endpage | 27929 | |
| dc.identifier.issn | 2473-6988 | |
| dc.identifier.issue | 10 | |
| dc.identifier.scopus | 2-s2.0-85205948621 | |
| dc.identifier.scopusquality | Q1 | |
| dc.identifier.startpage | 27908 | |
| dc.identifier.uri | https://doi.org/10.3934/math.20241355 | |
| dc.identifier.uri | https://hdl.handle.net/11501/1539 | |
| dc.identifier.volume | 9 | |
| dc.identifier.wos | WOS:001329242100006 | |
| dc.identifier.wosquality | Q1 | |
| dc.indekslendigikaynak | Web of Science | |
| dc.indekslendigikaynak | Scopus | |
| dc.institutionauthor | Uzekmek, Fatma Zehra | |
| dc.language.iso | en | |
| dc.publisher | AIMS Mathematics | |
| dc.relation.ispartof | American Institute of Mathematical Sciences | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.subject | Codes Over Rings | |
| dc.subject | Constacyclic Codes | |
| dc.subject | DNA Codes | |
| dc.subject | Skew Codes | |
| dc.title | (θi, λ)-constacyclic codes and DNA codes over Z4 | |
| dc.type | Article |
