Algebraic Design Theory and Hadamard Matrices

ADTHM, Lethbridge, Alberta, Canada, July 2014

Nonfiction, Science & Nature, Mathematics, Combinatorics, Algebra
Cover of the book Algebraic Design Theory and Hadamard Matrices by , Springer International Publishing
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Author: ISBN: 9783319177298
Publisher: Springer International Publishing Publication: September 3, 2015
Imprint: Springer Language: English
Author:
ISBN: 9783319177298
Publisher: Springer International Publishing
Publication: September 3, 2015
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

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