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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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      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)
      One of the most promising structural approaches to resolving the Hadamard Conjecture uses the family of cocyclic matrices ...
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      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 ...
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      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)
      About twenty-five years ago, Horadam and de Launey introduced the cocyclic development of designs, from which the notion ...
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      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)
      In this paper, we describe some necessary and sufficient conditions for a set of coboundaries to yield a cocyclic Hadamard ...
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      Pseudococyclic Partial Hadamard Matrices over Latin Rectangles 

      Falcón Ganfornina, Raúl Manuel; Álvarez, Víctor; Frau García, María Dolores; Gudiel Rodríguez, Félix; Güemes Alzaga, María Belén (MDPI [Commercial Publisher], 2021-01-06)
      The classical design of cocyclic Hadamard matrices has recently been generalized by means of both the notions of the cocycle ...
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      The homological reduction method for computing cocyclic Hadamard matrices 

      Álvarez Solano, Víctor; Armario Sampalo, José Andrés; Frau García, María Dolores; Real Jurado, Pedro (2009)
      An alternate method for constructing (Hadamard) cocyclic matrices over a finite group GG is described. Provided that a ...