Yayın: On the number of Z2Z4 and ZpZp2-additive cyclic codes
| dc.contributor.author | Yildiz, Eda | |
| dc.contributor.author | Abualrub, Taher | |
| dc.contributor.author | Aydogdu, Ismail | |
| dc.date.accessioned | 2026-06-27T14:32:49Z | |
| dc.date.issued | 2023 | |
| dc.description.abstract | In this paper, we give the exact number of Z(2)Z(4)-additive cyclic codes of length n = r + s, for any positive integer r and any positive odd integer s. We will provide a formula for the the number of separable Z(2)Z(4)-additive cyclic codes of length n and then a formula for the number of non-separable Z(2)Z(4)-additive cyclic codes of length n. Then, we have generalized our approach to give the exact number of Z(p)Z(p2)-additive cyclic codes of length n = r + s, for any prime p, any positive integer r and any positive integer s where gcd (p, s) = 1. Moreover, we will provide examples of the number of these codes with different lengths n = r + s. | en |
| dc.description.uri | https://doi.org/10.1007/s00200-020-00474-4 | |
| dc.identifier.doi | 10.1007/s00200-020-00474-4 | |
| dc.identifier.eissn | 1432-0622 | |
| dc.identifier.endpage | 97 | |
| dc.identifier.issn | 0938-1279 | |
| dc.identifier.issue | 1 | |
| dc.identifier.startpage | 81 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14981/61904 | |
| dc.identifier.volume | 34 | |
| dc.identifier.wos | 000607099100001 | |
| dc.language.iso | eng | |
| dc.publisher | SPRINGER | |
| dc.relation.ispartof | APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING | |
| dc.subject | Z(2)Z(4)-additive cyclic codes | |
| dc.subject | Z(p)Z(p2)-additive cyclic codes | |
| dc.subject | counting | |
| dc.subject | separable | |
| dc.subject | non-separable codes | |
| dc.subject | Computer Science | |
| dc.subject | Mathematics | |
| dc.title | On the number of Z2Z4 and ZpZp2-additive cyclic codes | |
| dc.type | Article | |
| dspace.entity.type | Publication | |
| local.import.source | WOS |