Algebraic Design Theory and Hadamard Matrices ADTHM, Lethbridge, Alberta, Canada, July 2014 /

This volume develops the depth and breadth of the mathematics underlying the construction and analysis of Hadamard matrices and their use in the construction of combinatorial designs. At the same time, it pursues current research in their numerous applications in security and cryptography, quantum i...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor Corporativo: SpringerLink (Online service)
Otros Autores: Colbourn, Charles J. (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2015.
Edición:1st ed. 2015.
Colección:Springer Proceedings in Mathematics & Statistics, 133
Temas:
Discrete mathematics.
Algebras, Linear.
Number theory.
Computer science-Mathematics.
Discrete Mathematics.
Linear Algebra.
Number Theory.
Mathematical Applications in Computer Science.
Acceso en línea:Texto Completo
Descripción
Sumario:This volume develops the depth and breadth of the mathematics underlying the construction and analysis of Hadamard matrices and their use in the construction of combinatorial designs. At the same time, it pursues current research in their numerous applications in security and cryptography, quantum information, and communications. Bridges among diverse mathematical threads and extensive applications make this an invaluable source for understanding both the current state of the art and future directions. The existence of Hadamard matrices remains one of the most challenging open questions in combinatorics. Substantial progress on their existence has resulted from advances in algebraic design theory using deep connections with linear algebra, abstract algebra, finite geometry, number theory, and combinatorics. Hadamard matrices arise in a very diverse set of applications. Starting with applications in experimental design theory and the theory of error-correcting codes, they have found unexpected and important applications in cryptography, quantum information theory, communications, and networking.
Descripción Física:XI, 259 p. 95 illus., 69 illus. in color. online resource.
ISBN:9783319177298
ISSN:2194-1017 ;

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