Artículo
On D4t-Cocyclic Hadamard Matrices
Autor/es | Álvarez Solano, Víctor
Armario Sampalo, José Andrés Frau García, María Dolores Gudiel Rodríguez, Félix Güemes Alzaga, María Belén Osuna Lucena, Amparo |
Departamento | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) Universidad de Sevilla. Departamento de álgebra |
Fecha de publicación | 2016 |
Fecha de depósito | 2021-06-25 |
Publicado en |
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Resumen | In this paper, we describe some necessary and sufficient conditions for a set of
coboundaries to yield a cocyclic Hadamard matrix over the dihedral group D4t. Using this
characterization, new classification results for ... In this paper, we describe some necessary and sufficient conditions for a set of coboundaries to yield a cocyclic Hadamard matrix over the dihedral group D4t. Using this characterization, new classification results for certain cohomology classes of cocycles over D4t are obtained, extending existing exhaustive calculations for cocyclic Hadamard matrices over D4t from order 36 to order 44. We also define some transformations over coboundaries, which preserve orthogonality of D4t -cocycles. These transformations are shown to correspond to Horadam’s bundle equivalence operations enriched with duals of cocycles. |
Agencias financiadoras | Junta de Andalucía |
Identificador del proyecto | FQM-016 |
Cita | Álvarez Solano, V., Armario Sampalo, J.A., Frau García, M.D., Gudiel Rodríguez, F., Güemes Alzaga, M.B. y Osuna Lucena, A. (2016). On D4t-Cocyclic Hadamard Matrices. Journal of Combinatorial Designs, 24 (8), 352-368. |
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On‐Cocyclic Hadamard Matrices.pdf | 202.3Kb | [PDF] | Ver/ | |