Data

NameÁlvarez Solano, Víctor
DepartmentMatemática Aplicada I
Knowledge areaMatemática Aplicada
Professional categoryProfesor Titular de Universidad
E-mailRequest
           

  Statistics

  • Items

    46

  • Visits

    2953

  • Downloads

    3074

  Publications

 

Article
Icon

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 ...
Article
Icon

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 ...
Article
Icon

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
Icon

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 ...
Article
Icon

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 ...
Article
Icon

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
Icon

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 ...
Article
Icon

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
Icon

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)
Presentation
Icon

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
Icon

(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
Icon

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)
Article
Icon

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 ...
Article
Icon

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, ...
Article
Icon

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. ...
Article
Icon

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 ...
Article
Icon

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, ...
Article
Icon

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 ...
Article
Icon

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 ...
Article
Icon

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 ...
PhD Thesis
Icon

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
Icon

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
Icon

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 ...
Article
Icon

Cartan's contructions and the twisted Eilenberg-Zilber theorem

Álvarez Solano, Víctor; Armario Sampalo, José Andrés; Frau García, María Dolores; Real Jurado, Pedro (De Gruyter, 2010-01-01)
Article
Icon

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
Icon

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
Icon

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 ...
Article
Icon

Algebra Structures on the Comparison of the Reduced Bar Construction and the Reduced W-Construction

Álvarez Solano, Víctor; Armario Sampalo, José Andrés; Frau García, María Dolores; Real Jurado, Pedro (Taylor and Francis, 2009-01-01)
For a simplicial augmented algebra K, Eilenberg–Mac Lane constructed a chain map . They proved that g is a reduction ...
Article
Icon

A System of Equations for Describing Cocyclic Hadamard Matrices

Álvarez Solano, Víctor; Armario Sampalo, José Andrés; Frau García, María Dolores; Real Jurado, Pedro (Wiley, 2008-01-01)
Given a basis equation image for 2-cocycles equation image over a group G of order equation image, we describe a nonlinear ...
Presentation
Icon

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 ...
Article
Icon

Algebra Structures on the Twisted Eilenberg–Zilber Theorem

Álvarez Solano, Víctor; Armario Sampalo, José Andrés; Frau García, María Dolores; Real Jurado, Pedro (Taylor and Francis, 2007-01-01)
Let G, G′, and G ×τ G′ be three simplicial groups (not necessarily abelian) and C N (G) ⊗ t C N (G′) be the “twisted” ...
Chapter of Book
Icon

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
Icon

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
Icon

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
Icon

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
Icon

Transferring TTP-structures via contraction

Frau García, María Dolores; Real Jurado, Pedro; Armario Sampalo, José Andrés; Álvarez Solano, Víctor (2005-01-01)
PhD Thesis
Icon

Desarrollo cocíclico de diseños y aplicaciones

Real Jurado, Pedro; Álvarez Solano, Víctor; Frau García, María Dolores (2003-01-01)
Presentation
Icon

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)
Article
Icon

Algorithms in Algebraic Topology and Homological Algebra: Problem of Complexity

Real Jurado, Pedro; Álvarez Solano, Víctor; Armario Sampalo, José Andrés; González Díaz, Rocío (Springer, 2002-01-01)
This review tackles the problem of the high computational complexity lying in most algorithms in algebraic topology and ...
Chapter of Book
Icon

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
Icon

Complejos reducidos de resoluciones y perturbación homológica

Real Jurado, Pedro; Álvarez Solano, Víctor (2001-01-01)
Presentation
Icon

El Proyecto CHATA

Álvarez Solano, Víctor; Armario Sampalo, José Andrés; Frau García, María Dolores; González Díaz, Rocío; Jiménez Rodríguez, María José; Real Jurado, Pedro; Silva Gallardo, Beatriz (Universidad de Sevilla, 2001-01-01)
En este art´ıculo, se pretende dar una visi´on general y lo m´as divulgativa posible sobre los prop´ositos y objetivos del ...
Presentation
Icon

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 ...
Presentation
Icon

An algorithm for computing the first homology groups of CDGAs with linear differential

Álvarez Solano, Víctor; Armario Sampalo, José Andrés; Frau García, María Dolores; Real Jurado, Pedro; Silva Gallardo, Beatriz (Research Institute for Symbolic Computation, 1999-01-01)
We design here a primary platform for computing the basic homological information of Commutative Differential Graded ...
Presentation
Icon

Homological perturbation theory and computability of Hochschild and cyclic homologies of CDGAs

Álvarez Solano, Víctor; Armario Sampalo, José Andrés; Real Jurado, Pedro; Silva Gallardo, Beatriz (Diffiety Institute of the Russian Academy of Natural Sciences, 1997-01-01)
We establish an algorithm computing the homology of commutative differential graded algebras (briefly, CDGAs). The main ...
Presentation
Icon

On the computability of the p-local homology of twisted cartesian products of Eilenberg-Mac Lane spaces

Álvarez Solano, Víctor; Armario Sampalo, José Andrés; Real Jurado, Pedro (Universidade do Minho, 1997-01-01)
Working in the framework of the Simplicial Topology, a method for calculating the p-local homology of a twisted cartesian ...