Artículo
On Skew E–W Matrices
Autor/es | Armario Sampalo, José Andrés
Frau García, María Dolores |
Departamento | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Fecha de publicación | 2016 |
Fecha de depósito | 2021-06-25 |
Publicado en |
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Resumen | 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 ... 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 is said to be of skew type (or simply skew) if urn:x-wiley:10638539:media:jcd21519:jcd21519-math-0002 is skew-symmetric where I is the identity matrix. In this paper, we draw a parallel between skew E–W matrices and skew Hadamard matrices concerning a question about the maximal determinant. As a consequence, a problem posted on Cameron's website [7] has been partially solved. Finally, codes constructed from skew E–W matrices are presented. A necessary and sufficient condition for these codes to be self-dual is given, and examples are provided for lengths up to 52. |
Agencias financiadoras | Junta de Andalucía |
Identificador del proyecto | FQM-016 |
Cita | Armario Sampalo, J.A. y Frau García, M.D. (2016). On Skew E–W Matrices. Journal of Combinatorial Designs, 24 (10), 461-472. |
Ficheros | Tamaño | Formato | Ver | Descripción |
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On skew e–w matrices.pdf | 258.4Kb | [PDF] | Ver/ | |