Article
On Skew E–W Matrices
Author/s | Armario Sampalo, José Andrés
![]() ![]() ![]() ![]() ![]() ![]() ![]() Frau García, María Dolores ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Department | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Publication Date | 2016 |
Deposit Date | 2021-06-25 |
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Abstract | 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. |
Funding agencies | Junta de Andalucía |
Project ID. | FQM-016
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Citation | Armario Sampalo, J.A. y Frau García, M.D. (2016). On Skew E–W Matrices. Journal of Combinatorial Designs, 24 (10), 461-472. |
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