• Artículo
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      A computational approach to analyze the Hadamard quasigroup product 

      Falcón Ganfornina, Raúl Manuel; Álvarez Solano, Víctor; Armario Sampalo, José Andrés; Frau García, María Dolores; Gudiel Rodríguez, Félix; Güemes Alzaga, María Belén (American Institute of Mathematical Sciences (AIMS), 2023-03-30)
      Based on the binary product described by any Latin square, the Hadamard quasigroup product is introduced in this paper as ...
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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)
      A genetic algorithm for finding cocyclic Hadamard matrices is described. Though we focus on the case of dihedral groups, ...
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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)
      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 

      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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      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)
      Given a basis equation image for 2-cocycles equation image over a group G of order equation image, we describe a nonlinear ...
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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)
      An Ant Colony System (ACS) looking for cocyclic Hadamard matrices over dihedral groups D4t is described. The underlying ...
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      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)
      For a simplicial augmented algebra K, Eilenberg–Mac Lane constructed a chain map . They proved that g is a reduction ...
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      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)
      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” ...
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      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)
      This review tackles the problem of the high computational complexity lying in most algorithms in algebraic topology and ...
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      Almost supplementary difference sets and quaternary sequences with optimal autocorrelation 

      Armario Sampalo, José Andrés; Flannery, D. L. (Springer, 2020)
      We introduce almost supplementary difference sets (ASDS). For odd m, certain ASDS in Zm that have amicable incidence ...
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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)
      An algorithm for calculating a set ofgenerators ofrepresentative 2-cocycles on semidirect product offinite abelian groups ...
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      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)
      We design here a primary platform for computing the basic homological information of Commutative Differential Graded ...
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      Boolean Functions and Permanents of Sylvester Hadamard Matrices 

      Armario Sampalo, José Andrés (MDPI, 2021-01-17)
      One of the fastest known general techniques for computing permanents is Ryser’s formula. On this note, we show that this ...
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      Butson full propelinear codes 

      Armario Sampalo, José Andrés; Bailera, Iván; Egan, Ronan (Cornell University, 2020)
      In this paper we study Butson Hadamard matrices, and codes over finite rings coming from these matrices in logarithmic ...
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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)
      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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      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)
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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)
      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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      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)
      We use homological perturbation machinery specific for the algebra category [13] to give an algorithm for computing the ...
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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)
      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 

      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 ...