Article

Falcón Ganfornina, Raúl Manuel; Falcón Ganfornina, Raúl Manuel; Álvarez Solano, Víctor; Álvarez Solano, Víctor; Armario Sampalo, José Andrés; Armario Sampalo, José Andrés; Frau García, María Dolores; Frau García, María Dolores; Gudiel Rodríguez, Félix; Gudiel Rodríguez, Félix; Güemes Alzaga, María Belén; Güemes Alzaga, María Belén (American Institute of Mathematical Sciences (AIMS), 2023)
Based on the binary product described by any Latin square, the Hadamard quasigroup product is introduced in this paper as ...
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Article

Falcón Ganfornina, Raúl Manuel; Falcón Ganfornina, Raúl Manuel; Álvarez, Víctor; Álvarez, Víctor; Frau García, María Dolores; Frau García, María Dolores; Gudiel Rodríguez, Félix; Gudiel Rodríguez, Félix; Güemes Alzaga, María Belén; Güemes Alzaga, María Belén (MDPI [Commercial Publisher], 2021)
The classical design of cocyclic Hadamard matrices has recently been generalized by means of both the notions of the cocycle ...
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Article

Álvarez Solano, Víctor; Álvarez Solano, Víctor; Armario Sampalo, José Andrés; Armario Sampalo, José Andrés; Frau García, María Dolores; Frau García, María Dolores; Gudiel Rodríguez, Félix; Gudiel Rodríguez, Félix; Güemes Alzaga, María Belén; Güemes Alzaga, María Belén; Osuna Lucena, Amparo; Osuna Lucena, Amparo (MDPI, 2021)
Since Horadam and de Launey introduced the cocyclic framework on combinatorial designs
in the 1990s, it has revealed itself ...
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Article

Álvarez Solano, Víctor; Álvarez Solano, Víctor; Armario Sampalo, José Andrés; Armario Sampalo, José Andrés; Falcón Ganfornina, Raúl Manuel; Falcón Ganfornina, Raúl Manuel; Frau García, María Dolores; Frau García, María Dolores; Gudiel Rodríguez, Félix; Gudiel Rodríguez, Félix; Güemes Alzaga, María Belén; Güemes Alzaga, María Belén; Osuna Lucena, Amparo; Osuna Lucena, Amparo (MDPI, 2020)
About twenty-five years ago, Horadam and de Launey introduced the cocyclic development
of designs, from which the notion ...
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Article

Álvarez Solano, Víctor; Álvarez Solano, Víctor; Falcón Ganfornina, Raúl Manuel; Falcón Ganfornina, Raúl Manuel; Frau García, María Dolores; Frau García, María Dolores; Gudiel Rodríguez, Félix; Gudiel Rodríguez, Félix; Güemes Alzaga, María Belén; Güemes Alzaga, María Belén (Elsevier, 2019)
In the literature, the theory of cocyclic Hadamard matrices has always been developed over finite groups.
This paper ...
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Article

Álvarez Solano, Víctor; Álvarez Solano, Víctor; Armario Sampalo, José Andrés; Armario Sampalo, José Andrés; Falcón Ganfornina, Raúl Manuel; Falcón Ganfornina, Raúl Manuel; Frau García, María Dolores; Frau García, María Dolores; Gudiel Rodríguez, Félix; Gudiel Rodríguez, Félix; Güemes Alzaga, María Belén; Güemes Alzaga, María Belén; Osuna Lucena, Amparo; Osuna Lucena, Amparo (Elsevier, 2019)
This paper deals with partial binary Hadamard matrices. Although there is a fast simple
way to generate about a half (which ...
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Article

Álvarez Solano, Víctor; Álvarez Solano, Víctor; Armario Sampalo, José Andrés; Armario Sampalo, José Andrés; Falcón Ganfornina, Raúl Manuel; Falcón Ganfornina, Raúl Manuel; Frau García, María Dolores; Frau García, María Dolores; Gudiel Rodríguez, Félix; Gudiel Rodríguez, Félix; Güemes Alzaga, María Belén; Güemes Alzaga, María Belén; Osuna Lucena, Amparo; Osuna Lucena, Amparo (Springer, 2018)
A way of generating cocyclic Hadamard matrices is described, which combines a new heuristic, coming
from a novel notion ...
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Article

Álvarez Solano, Víctor; Álvarez Solano, Víctor; Armario Sampalo, José Andrés; Armario Sampalo, José Andrés; Frau García, María Dolores; Frau García, María Dolores; Gudiel Rodríguez, Félix; Gudiel Rodríguez, Félix; Güemes Alzaga, María Belén; Güemes Alzaga, María Belén; Martín García, Elena; Martín García, Elena; Osuna Lucena, Amparo; Osuna Lucena, Amparo (Elsevier, 2018)
A genetic algorithm based robust blind digital watermarking scheme is presented.
The experimental results show that our ...
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Presentation

Álvarez Solano, Víctor; Álvarez Solano, Víctor; Armario Sampalo, José Andrés; Armario Sampalo, José Andrés; Falcón Ganfornina, Raúl Manuel; Falcón Ganfornina, Raúl Manuel; Frau García, María Dolores; Frau García, María Dolores; Gudiel Rodríguez, Félix; Gudiel Rodríguez, Félix; Güemes Alzaga, María Belén; Güemes Alzaga, María Belén; Osuna Lucena, Amparo; Osuna Lucena, Amparo (2017)
A procedure is described looking for partial Hadamard matrices, as cliques of a particular subgraph Gt of Ito’s Hadamard ...
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Presentation

Álvarez Solano, Víctor; Álvarez Solano, Víctor; Armario Sampalo, José Andrés; Armario Sampalo, José Andrés; Falcón Ganfornina, Raúl Manuel; Falcón Ganfornina, Raúl Manuel; Frau García, María Dolores; Frau García, María Dolores; Gudiel Rodríguez, Félix; Gudiel Rodríguez, Félix; Güemes Alzaga, María Belén; Güemes Alzaga, María Belén; Kotsireas, Ilias; Kotsireas, Ilias (2017)
Progressing on a survey of the state of the art of cocyclic constructions for Hadamard matrices, we will prove that the ...
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Presentation

Falcón Ganfornina, Raúl Manuel; Falcón Ganfornina, Raúl Manuel; Frau García, María Dolores; Frau García, María Dolores; Güemes Alzaga, María Belén; Güemes Alzaga, María Belén; Gudiel Rodríguez, Félix; Gudiel Rodríguez, Félix; Álvarez Solano, Víctor; Álvarez Solano, Víctor (2017)
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Article

Álvarez Solano, Víctor; Álvarez Solano, Víctor; Armario Sampalo, José Andrés; Armario Sampalo, José Andrés; Frau García, María Dolores; Frau García, María Dolores; Gudiel Rodríguez, Félix; Gudiel Rodríguez, Félix; Güemes Alzaga, María Belén; Güemes Alzaga, María Belén; Osuna Lucena, Amparo; Osuna Lucena, Amparo (Wiley, 2016)
In this paper, we describe some necessary and sufficient conditions for a set of
coboundaries to yield a cocyclic Hadamard ...
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Article

Álvarez Solano, Víctor; Álvarez Solano, Víctor; Gudiel Rodríguez, Félix; Gudiel Rodríguez, Félix; Güemes Alzaga, María Belén; Güemes Alzaga, María Belén (Wiley, 2015)
A characterization of ZZt × ZZ22
-cocyclic Hadamard matrices is described, de-
pending on the notions of distributions, ...
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Article

Álvarez Solano, Víctor; Álvarez Solano, Víctor; Gudiel Rodríguez, Félix; Gudiel Rodríguez, Félix; Güemes Alzaga, María Belén; Güemes Alzaga, María Belén; Horadam, K.J.; Horadam, K.J.; Rao, A.; Rao, A. (Cornell University, 2015)
One of the most promising structural approaches to resolving the
Hadamard Conjecture uses the family of cocyclic matrices ...
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PhD Thesis

Gudiel Rodríguez, Félix; Gudiel Rodríguez, Félix; Álvarez Solano, Víctor; Álvarez Solano, Víctor; Güemes Alzaga, María Belén; Güemes Alzaga, María Belén (2011)
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Presentation

Álvarez Solano, Víctor; Álvarez Solano, Víctor; Armario Sampalo, José Andrés; Armario Sampalo, José Andrés; Frau García, María Dolores; Frau García, María Dolores; Gudiel Rodríguez, Félix; Gudiel Rodríguez, Félix; Güemes Alzaga, María Belén; Güemes Alzaga, María Belén; Martín García, Elena; Martín García, Elena; Osuna Lucena, Amparo; Osuna Lucena, Amparo (Universidade de Santiago de Compostela, Servicio de Publicaciones, 2010)
Three algorithms looking for pretty large partial Hadamard ma-
trices are described. Here “large” means that hopefully ...
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Presentation

Álvarez Solano, Víctor; Álvarez Solano, Víctor; Armario Sampalo, José Andrés; Armario Sampalo, José Andrés; Frau García, María Dolores; Frau García, María Dolores; Gudiel Rodríguez, Félix; Gudiel Rodríguez, Félix; Güemes Alzaga, María Belén; Güemes Alzaga, María Belén; Martín García, Elena; Martín García, Elena; Osuna Lucena, Amparo; Osuna Lucena, Amparo (Springer, 2010)
An Ant Colony System (ACS) looking for cocyclic Hadamard
matrices over dihedral groups D4t is described. The underlying ...
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