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Algebraic Design Theory and Hadamard Matrices

ADTHM, Lethbridge, Alberta, Canada, July 2014
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Description

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.
Release date Australia
October 22nd, 2016
Audience
  • Professional & Vocational
Contributor
  • Edited by Charles J. Colbourn
Edition
Softcover reprint of the original 1st ed. 2015
Illustrations
69 Illustrations, color; 26 Illustrations, black and white; XI, 259 p. 95 illus., 69 illus. in color.
Pages
259
Dimensions
156x234x14
ISBN-13
9783319372181
Product ID
26236874

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