• Artículo
      Icon

      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 ...
    • Artículo
      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)
      A way of generating cocyclic Hadamard matrices is described, which combines a new heuristic, coming from a novel notion ...
    • Artículo
      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)
      Given a basis equation image for 2-cocycles equation image over a group G of order equation image, we describe a nonlinear ...
    • Artículo
      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)
      For a simplicial augmented algebra K, Eilenberg–Mac Lane constructed a chain map . They proved that g is a reduction ...
    • Artículo
      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)
      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” ...
    • Artículo
      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)
      This review tackles the problem of the high computational complexity lying in most algorithms in algebraic topology and ...
    • Artículo
      Icon

      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 ...
    • Artículo
      Icon

      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 ...
    • Artículo
      Icon

      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 ...
    • Artículo
      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)
    • Artículo
      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)
      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 = ...
    • Artículo
      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)
      A method for embedding cocyclic submatrices with “large” determinants of orders 2t in certain cocyclic Hadamard matrices ...
    • Artículo
      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)
      A genetic algorithm based robust blind digital watermarking scheme is presented. The experimental results show that our ...
    • Artículo
      Icon

      Generalized binary arrays from quasi-orthogonal cocycles 

      Armario Sampalo, José Andrés; Flannery, D. L. (Springer, 2019)
      Generalized perfect binary arrays (GPBAs) were used by Jedwab to construct perfect binary arrays. A non-trivial GPBA can ...
    • Artículo
      Icon

      Generalized Hadamard full propelinear codes 

      Armario Sampalo, José Andrés; Bailera, Iván; Egan, Ronan (Springer, 2021)
      Codes from generalized Hadamard matrices have already been introduced. Here we deal with these codes when the generalized ...
    • Artículo
      Icon

      Generalized partially bent functions, generalized perfect arrays, and cocyclic Butson matrices 

      Armario Sampalo, José Andrés; Egan, Ronan; Flannery, Dane L. (Springer, 2023-08-23)
      In a recent survey, Schmidt compiled equivalences between generalized bent functions, group invariant Butson Hadamard ...
    • Artículo
      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)
      This paper deals with partial binary Hadamard matrices. Although there is a fast simple way to generate about a half ...
    • Artículo
      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)
      Hadamard ideals were introduced in 2006 as a set of nonlin-ear polynomial equations whose zeros are uniquely related ...
    • Artículo
      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)
      Since Horadam and de Launey introduced the cocyclic framework on combinatorial designs in the 1990s, it has revealed ...
    • Artículo
      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)
      Let G be a semidirect product of finitely generated Abelian groups. We provide a method for constructing an explicit ...