Data

NameÁlvarez Solano, Víctor
DepartmentMatemática Aplicada I
Knowledge areaMatemática Aplicada
Professional categoryProfesor Titular de Universidad
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  Statistics

  • Items

    35

  • Visits

    1981

  • Downloads

    1741

  Publications

 

Article
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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. ...
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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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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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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 ...
Article
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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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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 higher dimensional cocyclic Hadamard matrices

Álvarez Solano, Víctor; Armario Sampalo, José Andrés; Frau García, María Dolores; Real Jurado, Pedro (2015-01-01)
Provided that a cohomological model for G is known, we describe a method for constructing a basis for n-cocycles over G, ...
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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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Homological models for semidirect products of finitely generated Abelian groups

Álvarez Solano, Víctor; Frau García, María Dolores; Real Jurado, Pedro; Armario Sampalo, José Andrés (2012-01-01)
Let G be a semidirect product of finitely generated Abelian groups. We provide a method for constructing an explicit ...
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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)
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 ...
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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 ...
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The homological reduction method for computing cocyclic Hadamard matrices

Álvarez Solano, Víctor; Armario Sampalo, José Andrés; Frau García, María Dolores; Real Jurado, Pedro (2009-01-01)
An alternate method for constructing (Hadamard) cocyclic matrices over a finite group GG is described. Provided that a ...
Presentation
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A Heuristic Procedure with Guided Reproduction for Constructing Cocyclic Hadamard Matrices

Álvarez Solano, Víctor; Frau García, María Dolores; Osuna Lucena, Amparo (Springer, 2009-01-01)
A genetic algorithm for constructing cocyclic Hadamard matrices over a given group is described. The novelty of this ...
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 ...
Presentation
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Error correcting codes from quasi-Hadamard matrices

Álvarez Solano, Víctor; Armario Sampalo, José Andrés; Frau García, María Dolores; Martín García, Elena; Osuna Lucena, Amparo (Springer, 2007-01-01)
Levenshtein described in [5] a method for constructing error correcting codes which meet the Plotkin bounds, provided ...
Chapter of Book
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A genetic algorithm for cocyclic hadamard matrices

Álvarez Solano, Víctor; Armario Sampalo, José Andrés; Frau García, María Dolores; Real Jurado, Pedro (2006-01-01)
A genetic algorithm for finding cocyclic Hadamard matrices is described. Though we focus on the case of dihedral groups, ...
Chapter of Book
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Comparison maps for relatively free resolutions

Álvarez Solano, Víctor; Armario Sampalo, José Andrés; Frau García, María Dolores; Real Jurado, Pedro (2006-01-01)
Let Λ be a commutative ring, A an augmented differential graded algebra over Λ (briefly, DGA-algebra) and X be a relatively ...
Chapter of Book
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A Mathematica Notebook for Computing the Homology of Iterated Products of Groups

Álvarez Solano, Víctor; Armario Sampalo, José Andrés; Frau García, María Dolores; Real Jurado, Pedro (2006-01-01)
Let G be a group which admits the structure of an iterated product of central extensions and semidirect products of abelian ...
Chapter of Book
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Calculating cocyclic hadamard matrices in Mathematica: exhaustive and heuristic searches

Álvarez Solano, Víctor; Armario Sampalo, José Andrés; Frau García, María Dolores; Real Jurado, Pedro (2006-01-01)
We describe a notebook in Mathematica which, taking as input data a homological model for a finite group G of order |G| = ...
Article
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Transferring TTP-structures via contraction

Frau García, María Dolores; Real Jurado, Pedro; Armario Sampalo, José Andrés; Álvarez Solano, Víctor (2005-01-01)
PhD Thesis
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Desarrollo cocíclico de diseños y aplicaciones

Real Jurado, Pedro; Álvarez Solano, Víctor; Frau García, María Dolores (2003-01-01)
Presentation
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Matrices cocíclicas de Hadamard sobre productos semidirectos

Álvarez Solano, Víctor; Armario Sampalo, José Andrés; Frau García, María Dolores; Real Jurado, Pedro (Alberto Márquez, 2002-01-01)
Chapter of Book
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An algorithm for computing cocyclic matrices developed over some semidirect products

Armario Sampalo, José Andrés; Frau García, María Dolores; Real Jurado, Pedro; Álvarez Solano, Víctor (2001-01-01)
An algorithm for calculating a set ofgenerators ofrepresentative 2-cocycles on semidirect product offinite abelian groups ...
PhD Thesis
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Complejos reducidos de resoluciones y perturbación homológica

Real Jurado, Pedro; Álvarez Solano, Víctor (2001-01-01)
Presentation
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Computing “Small” 1–Homological Models for Commutative Differential Graded Algebras

Álvarez Solano, Víctor; Armario Sampalo, José Andrés; Frau García, María Dolores; González Díaz, Rocío; Jiménez Rodríguez, María José; Real Jurado, Pedro; Silva Gallardo, Beatriz (Springer, 2000-01-01)
We use homological perturbation machinery specific for the algebra category [13] to give an algorithm for computing the ...