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Browsing by Author "Álvarez Solano, Víctor"
Now showing items 1-20 of 34
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A computational algebraic geometry approach to analyze pseudo-random sequences based on Latin squares [Article]
Falcón Ganfornina, Raúl Manuel; Álvarez Solano, Víctor; Gudiel Rodríguez, Félix (Springer, 2019)Latin squares are used as scramblers on symmetric-key algorithms that generate pseudo-random sequences of the same length. ...
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A genetic algorithm for cocyclic hadamard matrices [Chapter of Book]
Álvarez Solano, Víctor; Armario Sampalo, José Andrés; Frau García, María Dolores; Real Jurado, Pedro (2006)A genetic algorithm for finding cocyclic Hadamard matrices is described. Though we focus on the case of dihedral groups, ...
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A Heuristic Procedure with Guided Reproduction for Constructing Cocyclic Hadamard Matrices [Presentation]
Álvarez Solano, Víctor; Frau García, María Dolores; Osuna Lucena, Amparo (Springer, 2009)A genetic algorithm for constructing cocyclic Hadamard matrices over a given group is described. The novelty of this ...
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A Mathematica Notebook for Computing the Homology of Iterated Products of Groups [Chapter of Book]
Álvarez Solano, Víctor; Armario Sampalo, José Andrés; Frau García, María Dolores; Real Jurado, Pedro (2006)Let G be a group which admits the structure of an iterated product of central extensions and semidirect products of abelian ...
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A Mixed Heuristic for Generating Cocyclic Hadamard Matrices [Article]
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)A way of generating cocyclic Hadamard matrices is described, which combines a new heuristic, coming from a novel notion ...
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ACS Searching for D4t-Hadamard Matrices [Presentation]
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)An Ant Colony System (ACS) looking for cocyclic Hadamard matrices over dihedral groups D4t is described. The underlying ...
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An algorithm for computing cocyclic matrices developed over some semidirect products [Chapter of Book]
Armario Sampalo, José Andrés; Frau García, María Dolores; Real Jurado, Pedro; Álvarez Solano, Víctor (2001)An algorithm for calculating a set ofgenerators ofrepresentative 2-cocycles on semidirect product offinite abelian groups ...
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Calculating cocyclic hadamard matrices in Mathematica: exhaustive and heuristic searches [Chapter of Book]
Álvarez Solano, Víctor; Armario Sampalo, José Andrés; Frau García, María Dolores; Real Jurado, Pedro (2006)We describe a notebook in Mathematica which, taking as input data a homological model for a finite group G of order |G| = ...
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Cocyclic Hadamard matrices over Latin rectangles [Presentation]
Falcón Ganfornina, Raúl Manuel; Frau García, María Dolores; Güemes Alzaga, María Belén; Gudiel Rodríguez, Félix; Álvarez Solano, Víctor (2017) -
Cocyclic Hadamard matrices over Latin rectangles [Article]
Álvarez Solano, Víctor; Falcón Ganfornina, Raúl Manuel; Frau García, María Dolores; Gudiel Rodríguez, Félix; 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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Comparison maps for relatively free resolutions [Chapter of Book]
Álvarez Solano, Víctor; Armario Sampalo, José Andrés; Frau García, María Dolores; Real Jurado, Pedro (2006)Let Λ be a commutative ring, A an augmented differential graded algebra over Λ (briefly, DGA-algebra) and X be a relatively ...
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Complejos reducidos de resoluciones y perturbación homológica [PhD Thesis]
Álvarez Solano, Víctor (2001) -
Computing “Small” 1–Homological Models for Commutative Differential Graded Algebras [Presentation]
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)We use homological perturbation machinery specific for the algebra category [13] to give an algorithm for computing the ...
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Desarrollo cocíclico de diseños y aplicaciones [PhD Thesis]
Frau García, María Dolores (2003) -
Determinants of (–1,1)-matrices of the skew-symmetric type: a cocyclic approach [Article]
Álvarez Solano, Víctor; Armario Sampalo, José Andrés; Frau García, María Dolores; Gudiel Rodríguez, Félix (Walter de Gruyter GmbH, 2015)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 = ...
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Embedding cocylic D-optimal designs in cocylic Hadamard matrices [Article]
Álvarez Solano, Víctor; Armario Sampalo, José Andrés; Frau García, María Dolores; Gudiel Rodríguez, Félix (International Linear Algebra Society, 2012)A method for embedding cocyclic submatrices with “large” determinants of orders 2t in certain cocyclic Hadamard matrices ...
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Equivalences of Zt×Z22-cocyclic Hadamard matrices [Article]
Álvarez Solano, Víctor; Gudiel Rodríguez, Félix; Güemes Alzaga, María Belén; Horadam, K.J.; 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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Error correcting codes from quasi-Hadamard matrices [Presentation]
Álvarez Solano, Víctor; Armario Sampalo, José Andrés; Frau García, María Dolores; Martín García, Elena; Osuna Lucena, Amparo (Springer, 2007)Levenshtein described in [5] a method for constructing error correcting codes which meet the Plotkin bounds, provided ...
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GA Based Robust Blind Digital Watermarking [Article]
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)A genetic algorithm based robust blind digital watermarking scheme is presented. The experimental results show that our ...
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Generating binary partial Hadamard matrices [Article]
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)This paper deals with partial binary Hadamard matrices. Although there is a fast simple way to generate about a half ...