dc.creator | Álvarez Solano, Víctor | es |
dc.creator | Gudiel Rodríguez, Félix | es |
dc.creator | Güemes Alzaga, María Belén | es |
dc.date.accessioned | 2019-06-17T09:08:30Z | |
dc.date.available | 2019-06-17T09:08:30Z | |
dc.date.issued | 2015 | |
dc.identifier.citation | Álvarez Solano, V., Gudiel Rodríguez, F. y Güemes Alzaga, M.B. (2015). On ZZt × ZZ2 2-cocyclic Hadamard matrices. Journal of Combinatorial Designs, 23 (8), 352-368. | |
dc.identifier.issn | 1063-8539 | es |
dc.identifier.uri | https://hdl.handle.net/11441/87452 | |
dc.description.abstract | A characterization of ZZt × ZZ22
-cocyclic Hadamard matrices is described, de-
pending on the notions of distributions, ingredients and recipes. In particular,
these notions lead to the establishment of some bounds on the number and
distribution of 2-coboundaries over ZZt × ZZ22
to use and the way in which they
have to be combined in order to obtain a ZZt × ZZ22
-cocyclic Hadamard matrix.
Exhaustive searches have been performed, so that the table in p. 132 in [4] is
corrected and completed. Furthermore, we identify four different operations
on the set of coboundaries defining ZZt × ZZ22
-cocyclic matrices, which preserve
orthogonality. We split the set of Hadamard matrices into disjoint orbits, de-
fine representatives for them and take advantage of this fact to compute them
in an easier way than the usual purely exhaustive way, in terms of diagrams.
Let H be the set of cocyclic Hadamard matrices over ZZt × ZZ22
having a sym-
metric diagram. We also prove that the set of Williamson type matrices is a
subset of H of size |H|
t . | es |
dc.description.sponsorship | Junta de Andalucía FQM-016 | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Wiley | es |
dc.relation.ispartof | Journal of Combinatorial Designs, 23 (8), 352-368. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.title | On ZZt × ZZ2 2-cocyclic Hadamard 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.contributor.affiliation | Universidad de Sevilla. Departamento de álgebra | es |
dc.relation.projectID | FQM-016 | es |
dc.relation.publisherversion | https://onlinelibrary.wiley.com/doi/10.1002/jcd.21406 | es |
dc.identifier.doi | 10.1002/jcd.21406 | es |
idus.format.extent | 26 | es |
dc.journaltitle | Journal of Combinatorial Designs | es |
dc.publication.volumen | 23 | es |
dc.publication.issue | 8 | es |
dc.publication.initialPage | 352 | es |
dc.publication.endPage | 368 | es |