LCD codes constructed from weakly-self-orthogonal 1-designs

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dc.contributor.author Crnkovic, Vedrana Mikulic
dc.contributor.author Traunkar, Ivona
dc.contributor.author Rodrigues, Bernardo G.
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


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