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Browsing by Author "Armario Sampalo, José Andrés"
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Article
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), 20230330)Based on the binary product described by any Latin square, the Hadamard quasigroup product is introduced in this paper as ...

Chapter of Book
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, ...

Chapter of Book
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 ...

Article
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 ...

Article
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 2cocycles equation image over a group G of order equation image, we describe a nonlinear ...

Presentation
ACS Searching for D4tHadamard 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 ...

Article
Algebra Structures on the Comparison of the Reduced Bar Construction and the Reduced WConstruction
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 ...

Article
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” ...

Article
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 ...

Article
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 ...

Chapter of Book
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 2cocycles on semidirect product offinite abelian groups ...

Presentation
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 ...

Article
Boolean Functions and Permanents of Sylvester Hadamard Matrices
Armario Sampalo, José Andrés (MDPI, 20210117)One of the fastest known general techniques for computing permanents is Ryser’s formula. On this note, we show that this ...

Article
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 ...

Chapter of Book
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 = ...

Article
Cartan's contructions and the twisted EilenbergZilber theorem
Álvarez Solano, Víctor; Armario Sampalo, José Andrés; Frau García, María Dolores; Real Jurado, Pedro (De Gruyter, 2010) 
Chapter of Book
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, DGAalgebra) and X be a relatively ...

Presentation
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 ...

Article
Determinants of (–1,1)matrices of the skewsymmetric 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 skewsymmetric type (−1, 1)matrix K = [ki,j ] has 1’s on the main diagonal and ±1’s elsewhere with ki,j = ...

Article
Embedding cocylic Doptimal 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 ...