Hadamard matrices, strongly regular graphs, and Galois fields

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dc.contributor.authorSarmiento, Jorge
dc.date.accessioned2022-04-18T14:10:14Z
dc.date.available2022-04-18T14:10:14Z
dc.date.issued1994-06
dc.descriptionVolumen 4, Número 1, Junio 1994en_US
dc.description.abstractIn this paper the author uses the concept of circulant matrices and the superposition principle to find, from the adjacency matrices of three regular graphs of order 8 and degree 2, tire adjacency matrix, M, of a strongly regular graph G(8,6,4,6). M is then decomposed, by means of addition subtraction, and the Kronecker product of matrices, to get the Hadamard matrix OH(2,4). Finally, the paper shows how the row vectors of this matrix can be found by using the elements of the finite field GF(2), and the concept of the T-character.en_US
dc.identifier.citationSarmiento, J. (1994). Hadamard matrices, strongly regular graphs, and Galois fields, Revista de la Universidad Politécnica de Puerto Rico, 4(1), 181-189.en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12475/1472
dc.language.isoenen_US
dc.publisherPolytechnic University of Puerto Ricoen_US
dc.relation.haspartSan Juanen_US
dc.relation.ispartofRevista de la Universidad Politécnica de Puerto Rico;
dc.rights.holderEsta Junta Editorial y la Universidad Politécnica de Puerto Rico hacen constar y reconoce que los autores de los artículos, obras literarias y artísticas publicadas en esta Revista Politechnê, se reservan enteramente los derechos de autor y de publicación de los mismos para los efectos de cualquier ventualidad literaria, publicitaria o de cualquier índole.en_US
dc.rights.licenseAll rights reserveden_US
dc.subject.lcshHadamard matricesen_US
dc.subject.lcshPolytechnic University of Puerto Rico--Faculty--Researchen_US
dc.titleHadamard matrices, strongly regular graphs, and Galois fieldsen_US
dc.typeArticleen_US

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