| dc.creator | Armario Sampalo, José Andrés | es |
| dc.creator | Frau García, María Dolores | es |
| dc.date.accessioned | 2021-06-25T09:23:54Z | |
| dc.date.available | 2021-06-25T09:23:54Z | |
| dc.date.issued | 2016 | |
| dc.identifier.citation | Armario Sampalo, J.A. y Frau García, M.D. (2016). On Skew E–W Matrices. Journal of Combinatorial Designs, 24 (10), 461-472. | |
| dc.identifier.issn | 1063-8539 | es |
| dc.identifier.uri | https://hdl.handle.net/11441/114842 | |
| dc.description.abstract | An E–W matrix M is a ( − 1, 1)-matrix of order urn:x-wiley:10638539:media:jcd21519:jcd21519-math-0001, where t is a positive integer, satisfying that the absolute value of its determinant attains Ehlich–Wojtas' bound. M is said to be of skew type (or simply skew) if urn:x-wiley:10638539:media:jcd21519:jcd21519-math-0002 is skew-symmetric where I is the identity matrix. In this paper, we draw a parallel between skew E–W matrices and skew Hadamard matrices concerning a question about the maximal determinant. As a consequence, a problem posted on Cameron's website [7] has been partially solved. Finally, codes constructed from skew E–W matrices are presented. A necessary and sufficient condition for these codes to be self-dual is given, and examples are provided for lengths up to 52. | es |
| dc.description.sponsorship | Junta de Andalucía FQM-016 | es |
| dc.format | application/pdf | es |
| dc.format.extent | 12 | es |
| dc.language.iso | eng | es |
| dc.publisher | Wiley | es |
| dc.relation.ispartof | Journal of Combinatorial Designs, 24 (10), 461-472. | |
| dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
| dc.subject | Skew E–W matrices | es |
| dc.subject | Maximal determinants | es |
| dc.subject | Self-dual codes | es |
| dc.title | On Skew E–W Matrices | es |
| dc.type | info:eu-repo/semantics/article | es |
| dcterms.identifier | https://ror.org/03yxnpp24 | |
| dc.type.version | info:eu-repo/semantics/submittedVersion | es |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
| dc.contributor.affiliation | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) | es |
| dc.relation.projectID | FQM-016 | es |
| dc.relation.publisherversion | https://onlinelibrary.wiley.com/doi/full/10.1002/jcd.21519 | es |
| dc.identifier.doi | 10.1002/jcd.21519 | es |
| dc.journaltitle | Journal of Combinatorial Designs | es |
| dc.publication.volumen | 24 | es |
| dc.publication.issue | 10 | es |
| dc.publication.initialPage | 461 | es |
| dc.publication.endPage | 472 | es |
| dc.contributor.funder | Junta de Andalucía | es |
On Skew E–W Matrices
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