dc.creator | Álvarez Solano, Víctor | es |
dc.creator | Falcón Ganfornina, Raúl Manuel | es |
dc.creator | Frau García, María Dolores | es |
dc.creator | Gudiel Rodríguez, Félix | es |
dc.creator | Güemes Alzaga, María Belén | es |
dc.date.accessioned | 2019-10-14T09:32:52Z | |
dc.date.available | 2019-10-14T09:32:52Z | |
dc.date.issued | 2019 | |
dc.identifier.citation | Álvarez Solano, V., Falcón Ganfornina, R.M., Frau García, M.D., Gudiel Rodríguez, F. y Güemes Alzaga, M.B. (2019). Cocyclic Hadamard matrices over Latin rectangles. European Journal of Combinatorics, 79 (june 2019), 75-96. | |
dc.identifier.issn | 0195-6698 | es |
dc.identifier.uri | https://hdl.handle.net/11441/89649 | |
dc.description.abstract | In the literature, the theory of cocyclic Hadamard matrices has always been developed over finite groups.
This paper introduces the natural generalization of this theory to be developed over Latin rectangles. In
this regard, once we introduce the concept of binary cocycle over a given Latin rectangle, we expose
examples of Hadamard matrices that are not cocyclic over finite groups but they are over Latin rectangles.
Since it is also shown that not every Hadamard matrix is cocyclic over a Latin rectangle, we focus on
answering both problems of existence of Hadamard matrices that are cocyclic over a given Latin rectangle and
also its reciprocal, that is, the existence of Latin rectangles over which a given Hadamard matrix is cocyclic. We
prove in particular that every Latin square over which a Hadamard matrix is cocyclic must be the multiplication
table of a loop (not necessarily associative). Besides, we prove the existence of cocyclic Hadamard matrices
over non-associative loops of order 2t+3, for all positive integer t > 0. | es |
dc.description.sponsorship | Junta de Andalucía FQM-016 | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | European Journal of Combinatorics, 79 (june 2019), 75-96. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.title | Cocyclic Hadamard matrices over Latin rectangles | 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://www.sciencedirect.com/science/article/pii/S0195669818302075 | es |
dc.identifier.doi | 10.1016/j.ejc.2018.12.007 | es |
idus.format.extent | 22 | es |
dc.journaltitle | European Journal of Combinatorics | es |
dc.publication.volumen | 79 | es |
dc.publication.issue | june 2019 | es |
dc.publication.initialPage | 75 | es |
dc.publication.endPage | 96 | es |