LCD codes constructed from weakly-self-orthogonal 1-designs
| dc.contributor.author | Crnkovic, Vedrana Mikulic | |
| dc.contributor.author | Traunkar, Ivona | |
| dc.contributor.author | Rodrigues, Bernardo Gabriel | |
| dc.date.accessioned | 2024-11-12T10:10:31Z | |
| dc.date.available | 2024-11-12T10:10:31Z | |
| dc.date.issued | 2025-08 | |
| dc.description.abstract | By a suitable extension of incidence matrices, orbit matrices, and submatrices of orbit matrices of weakly p-self-orthogonal 1-designs, in this paper we describe a construction of LCD codes over a finite field. To illustrate the construction, we determine some binary LCD codes from self-orthogonal 1-designs which are invariant under the transitive non-regular action of the alternating group of order 60. With the described construction, we have obtained 6 optimal codes and 3 near-optimal codes. | en_US |
| dc.description.department | Mathematics and Applied Mathematics | en_US |
| dc.description.librarian | am2024 | en_US |
| dc.description.sdg | None | en_US |
| dc.description.sponsorship | Croatian Science Foundation and the National Research Foundation of South Africa. | en_US |
| dc.description.uri | https://www.aimsciences.org/AMC | en_US |
| dc.identifier.citation | Crnkovic, V.M., Traunkar, I., Rodrigues, B.G. 2025, 'LCD codes constructed from weakly-self-orthogonal 1-designs', Advances in Mathematics of Communications, vol. 19, no. 4, pp. 1041-1056. DOI: 10.3934/amc.2024040. | en_US |
| dc.identifier.issn | 1930-5346 (print) | |
| dc.identifier.issn | 1930-5338 (online) | |
| dc.identifier.other | 10.3934/amc.2024040 | |
| dc.identifier.uri | http://hdl.handle.net/2263/99020 | |
| dc.language.iso | en | en_US |
| dc.publisher | American Institute of Mathematical Sciences | en_US |
| dc.rights | © 2024 American Institute of Mathematical Sciences. | en_US |
| dc.subject | Design | en_US |
| dc.subject | Weakly p-self-orthogonal design | en_US |
| dc.subject | Linear codes with complementary dual (LCD) | en_US |
| dc.title | LCD codes constructed from weakly-self-orthogonal 1-designs | en_US |
| dc.type | Article | en_US |