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Artículo
The homological reduction method for computing cocyclic Hadamard matrices
(2009)
An alternate method for constructing (Hadamard) cocyclic matrices over a finite group GG is described. Provided that a homological model View the MathML sourceB̄(Z[G])ϕ:⇌HFhG for GG is known, the homological reduction ...
Artículo
The maximal determinant of cocyclic (−1, 1)-matrices over D2t
(Elsevier, 2012)
Cocyclic construction has been successfully used for Hadamard matrices of order n. These -matrices satisfy that and give the solution to the maximal determinant problem when or a multiple of 4. In this paper, we approach ...
Artículo
Generalized Hadamard full propelinear codes
(Springer, 2021)
Codes from generalized Hadamard matrices have already been introduced. Here we deal with these codes when the generalized Hadamard matrices are cocyclic. As a consequence, a new class of codes that we call generalized ...
Artículo
A computational approach to analyze the Hadamard quasigroup product
(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 a natural generalization of the classical Hadamard product of matrices. The successive iteration of ...
Artículo
Self-Dual codes from (−1,1)-matrices of skew symmetric type
(Cornell University, 2013)
Previously, self-dual codes have been constructed from weighing matrices, and in particular from conference matrices (skew and symmetric). In this paper, codes constructed from matrices of skew symmetric type whose ...
Artículo
On Skew E–W Matrices
(Wiley, 2016)
An E–W matrix M is a ( − 1, 1)-matrix of order urn:x-wiley:10638539:media:jcd21519:jcd21519-math-0001, where t is a positive integer, satisfying that the absolute value of its determinant attains Ehlich–Wojtas' bound. M ...
Artículo
Generating binary partial Hadamard matrices
(Elsevier, 2019)
This paper deals with partial binary Hadamard matrices. Although there is a fast simple way to generate about a half (which is the best asymptotic bound known so far, see de Launey (2000) and de Launey and Gordon (2001)) ...
Artículo
On the Smith normal form of skew E-W matrices
(Taylor and Francis, 2017)
Artículo
Algebra Structures on the Comparison of the Reduced Bar Construction and the Reduced W-Construction
(Taylor and Francis, 2009)
For a simplicial augmented algebra K, Eilenberg–Mac Lane constructed a chain map . They proved that g is a reduction (homology isomorphism) and conjectured that it is also the injection of a contraction (special homotopy ...
Artículo
Homological models for semidirect products of finitely generated Abelian groups
(2012)
Let G be a semidirect product of finitely generated Abelian groups. We provide a method for constructing an explicit contraction (special homotopy equivalence) from the reduced bar construction of the group ring of G, ...