Yayın: Z2Z4-Additive Cyclic Codes
| dc.contributor.author | Abualrub, Taher | |
| dc.contributor.author | Siap, Irfan | |
| dc.contributor.author | Aydin, Nuh | |
| dc.date.accessioned | 2026-06-27T13:31:07Z | |
| dc.date.issued | 2014 | |
| dc.description.abstract | In this paper, we study Z(2)Z(4)-additive cyclic codes. These codes are identified as Z(4)[x]-submodules of the ring R-r,R-s = Z(2)[x]/ x Z(4) [x]/ . The algebraic structure of this family of codes is studied and a set of generator polynomials for this family as a Z(4)[x]-submodule of the ring R-r,R-s is determined. We show that the duals of Z(2)Z(4)-additive cyclic codes are also cyclic. We also present an infinite family of Maximum Distance separable with respect to the singleton bound codes. Finally, we obtain a number of binary linear codes with optimal parameters from the Z(2)Z(4)-additive cyclic codes. | en |
| dc.description.uri | https://doi.org/10.1109/tit.2014.2299791 | |
| dc.identifier.doi | 10.1109/tit.2014.2299791 | |
| dc.identifier.eissn | 1557-9654 | |
| dc.identifier.endpage | 1514 | |
| dc.identifier.issn | 0018-9448 | |
| dc.identifier.issue | 3 | |
| dc.identifier.startpage | 1508 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14981/53470 | |
| dc.identifier.volume | 60 | |
| dc.identifier.wos | 000331902400010 | |
| dc.language.iso | eng | |
| dc.publisher | IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC | |
| dc.relation.ispartof | IEEE TRANSACTIONS ON INFORMATION THEORY | |
| dc.subject | Additive codes | |
| dc.subject | additive cyclic codes | |
| dc.subject | optimal codes | |
| dc.subject | bounds | |
| dc.subject | Computer Science | |
| dc.subject | Engineering | |
| dc.subject | Mathematics | |
| dc.title | Z2Z4-Additive Cyclic Codes | |
| dc.type | Article | |
| dspace.entity.type | Publication | |
| local.import.source | WOS |