Data

NameGudiel Rodríguez, Félix
DepartmentMatemática Aplicada I
Knowledge areaMatemática Aplicada
Professional categoryProfesor Contratado Doctor
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  Publications

 

Article
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Pseudococyclic Partial Hadamard Matrices over Latin Rectangles

Falcón Ganfornina, Raúl Manuel; Álvarez, Víctor; Frau García, María Dolores; Gudiel Rodríguez, Félix; Güemes Alzaga, María Belén (MDPI [Commercial Publisher], 2021-01-06)
The classical design of cocyclic Hadamard matrices has recently been generalized by means of both the notions of the cocycle ...
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Hadamard Matrices with Cocyclic Core

Álvarez Solano, Víctor; Armario Sampalo, José Andrés; Frau García, María Dolores; Gudiel Rodríguez, Félix; Güemes Alzaga, María Belén; Osuna Lucena, Amparo (MDPI, 2021-01-01)
Since Horadam and de Launey introduced the cocyclic framework on combinatorial designs in the 1990s, it has revealed itself ...
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On Cocyclic Hadamard Matrices over Goethals-Seidel Loops

Álvarez Solano, Víctor; Armario Sampalo, José Andrés; Falcón Ganfornina, Raúl Manuel; Frau García, María Dolores; Gudiel Rodríguez, Félix; Güemes Alzaga, María Belén; Osuna Lucena, Amparo (MDPI, 2020-01-01)
About twenty-five years ago, Horadam and de Launey introduced the cocyclic development of designs, from which the notion ...
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A computational algebraic geometry approach to analyze pseudo-random sequences based on Latin squares

Falcón Ganfornina, Raúl Manuel; Álvarez Solano, Víctor; Gudiel Rodríguez, Félix (Springer, 2019-01-01)
Latin squares are used as scramblers on symmetric-key algorithms that generate pseudo-random sequences of the same length. ...
Article
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Cocyclic Hadamard matrices over Latin rectangles

Álvarez Solano, Víctor; Falcón Ganfornina, Raúl Manuel; Frau García, María Dolores; Gudiel Rodríguez, Félix; Güemes Alzaga, María Belén (Elsevier, 2019-01-01)
In the literature, the theory of cocyclic Hadamard matrices has always been developed over finite groups. This paper ...
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Generating binary partial Hadamard matrices

Álvarez Solano, Víctor; Armario Sampalo, José Andrés; Falcón Ganfornina, Raúl Manuel; Frau García, María Dolores; Gudiel Rodríguez, Félix; Güemes Alzaga, María Belén; Osuna Lucena, Amparo (Elsevier, 2019-01-01)
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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GA Based Robust Blind Digital Watermarking

Álvarez Solano, Víctor; Armario Sampalo, José Andrés; Frau García, María Dolores; Gudiel Rodríguez, Félix; Güemes Alzaga, María Belén; Martín García, Elena; Osuna Lucena, Amparo (Elsevier, 2018-01-01)
A genetic algorithm based robust blind digital watermarking scheme is presented. The experimental results show that our ...
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A Mixed Heuristic for Generating Cocyclic Hadamard Matrices

Álvarez Solano, Víctor; Armario Sampalo, José Andrés; Falcón Ganfornina, Raúl Manuel; Frau García, María Dolores; Gudiel Rodríguez, Félix; Güemes Alzaga, María Belén; Osuna Lucena, Amparo (Springer, 2018-01-01)
A way of generating cocyclic Hadamard matrices is described, which combines a new heuristic, coming from a novel notion ...
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Gröbner bases and cocyclic Hadamard matrices

Álvarez Solano, Víctor; Armario Sampalo, José Andrés; Falcón Ganfornina, Raúl Manuel; Frau García, María Dolores; Gudiel Rodríguez, Félix (Elsevier, 2018-01-01)
Hadamard ideals were introduced in 2006 as a set of nonlin-ear polynomial equations whose zeros are uniquely related ...
Presentation
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Gröbner bases and cocyclic Hadamard matrices

Álvarez Solano, Víctor; Armario Sampalo, José Andrés; Falcón Ganfornina, Raúl Manuel; Frau García, María Dolores; Gudiel Rodríguez, Félix (2017-07-01)
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Generating partial Hadamard matrices as solutions to a Constraint Satisfaction Problem characterizing cliques

Álvarez Solano, Víctor; Armario Sampalo, José Andrés; Falcón Ganfornina, Raúl Manuel; Frau García, María Dolores; Gudiel Rodríguez, Félix; Güemes Alzaga, María Belén; Osuna Lucena, Amparo (2017-07-01)
A procedure is described looking for partial Hadamard matrices, as cliques of a particular subgraph Gt of Ito’s Hadamard ...
Presentation
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(Pseudo)-cocyclic (structured) Hadamard matrices over (quasi)groups

Álvarez Solano, Víctor; Armario Sampalo, José Andrés; Falcón Ganfornina, Raúl Manuel; Frau García, María Dolores; Gudiel Rodríguez, Félix; Güemes Alzaga, María Belén; Kotsireas, Ilias (2017-01-01)
Progressing on a survey of the state of the art of cocyclic constructions for Hadamard matrices, we will prove that the ...
Presentation
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Cocyclic Hadamard matrices over Latin rectangles

Falcón Ganfornina, Raúl Manuel; Frau García, María Dolores; Güemes Alzaga, María Belén; Gudiel Rodríguez, Félix; Álvarez Solano, Víctor (2017-01-01)
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On D4t-Cocyclic Hadamard Matrices

Álvarez Solano, Víctor; Armario Sampalo, José Andrés; Frau García, María Dolores; Gudiel Rodríguez, Félix; Güemes Alzaga, María Belén; Osuna Lucena, Amparo (Wiley, 2016-01-01)
In this paper, we describe some necessary and sufficient conditions for a set of coboundaries to yield a cocyclic Hadamard ...
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Determinants of (–1,1)-matrices of the skew-symmetric type: a cocyclic approach

Álvarez Solano, Víctor; Armario Sampalo, José Andrés; Frau García, María Dolores; Gudiel Rodríguez, Félix (Walter de Gruyter GmbH, 2015-01-01)
An n by n skew-symmetric type (−1, 1)-matrix K = [ki,j ] has 1’s on the main diagonal and ±1’s elsewhere with ki,j = −kj,i. ...
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Equivalences of Zt×Z22-cocyclic Hadamard matrices

Álvarez Solano, Víctor; Gudiel Rodríguez, Félix; Güemes Alzaga, María Belén; Horadam, K.J.; Rao, A. (Cornell University, 2015-01-01)
One of the most promising structural approaches to resolving the Hadamard Conjecture uses the family of cocyclic matrices ...
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On ZZt × ZZ2 2-cocyclic Hadamard matrices

Álvarez Solano, Víctor; Gudiel Rodríguez, Félix; Güemes Alzaga, María Belén (Wiley, 2015-01-01)
A characterization of ZZt × ZZ22 -cocyclic Hadamard matrices is described, de- pending on the notions of distributions, ...
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The maximal determinant of cocyclic (−1, 1)-matrices over D2t

Álvarez Solano, Víctor; Armario Sampalo, José Andrés; Frau García, María Dolores; Gudiel Rodríguez, Félix (Elsevier, 2012-01-01)
Cocyclic construction has been successfully used for Hadamard matrices of order n. These -matrices satisfy that and give ...
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Embedding cocylic D-optimal designs in cocylic Hadamard matrices

Álvarez Solano, Víctor; Armario Sampalo, José Andrés; Frau García, María Dolores; Gudiel Rodríguez, Félix (International Linear Algebra Society, 2012-01-01)
A method for embedding cocyclic submatrices with “large” determinants of orders 2t in certain cocyclic Hadamard matrices ...
PhD Thesis
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Matrices cocíclicas de Hadamard sobre el Grupo Zt x Z 2*2 Descripción, clasificación y búsqueda

Gudiel Rodríguez, Félix; Álvarez Solano, Víctor; Güemes Alzaga, María Belén (2011-01-01)
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ACS Searching for D4t-Hadamard Matrices

Álvarez Solano, Víctor; Armario Sampalo, José Andrés; Frau García, María Dolores; Gudiel Rodríguez, Félix; Güemes Alzaga, María Belén; Martín García, Elena; Osuna Lucena, Amparo (Springer, 2010-01-01)
An Ant Colony System (ACS) looking for cocyclic Hadamard matrices over dihedral groups D4t is described. The underlying ...
Presentation
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Searching for partial Hadamard matrices

Álvarez Solano, Víctor; Armario Sampalo, José Andrés; Frau García, María Dolores; Gudiel Rodríguez, Félix; Güemes Alzaga, María Belén; Martín García, Elena; Osuna Lucena, Amparo (Universidade de Santiago de Compostela, Servicio de Publicaciones, 2010-01-01)
Three algorithms looking for pretty large partial Hadamard ma- trices are described. Here “large” means that hopefully ...
Presentation
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Rooted Trees Searching for Cocyclic Hadamard Matrices over D4t

Álvarez Solano, Víctor; Armario Sampalo, José Andrés; Frau García, María Dolores; Gudiel Rodríguez, Félix; Osuna Lucena, Amparo (Springer, 2009-01-01)
A new reduction on the size of the search space for cocyclic Hadamard matrices over dihedral groups D4t is described, in ...
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Explicit models for perverse sheaves

Gudiel Rodríguez, Félix; Narváez Macarro, Luis (European Mathematical Society, 2003-01-01)
We consider categories of generalized perverse sheaves, with relaxed constructibility conditions, by means of the process ...
PhD Thesis
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Descripción explícita de t-estructuras sobre espacios estratificados

Narváez Macarro, Luis; Gudiel Rodríguez, Félix (2000-01-01)
"En el presenta trabajo abordamos la cuestión anterior de la descripción de las categorías de haces perversos desde un ...