Overview
- Explores the applications of Hadamard matrices in experimental design, digital communication, cryptography, and quantum physics
- Examines the current state of the field and avenues of future research
- Develops connections between abstrct algebra, linear algebra, finite geometry, and number theory
Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 133)
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Table of contents (21 papers)
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Front Matter
Keywords
About this book
​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.
Editors and Affiliations
Bibliographic Information
Book Title: Algebraic Design Theory and Hadamard Matrices
Book Subtitle: ADTHM, Lethbridge, Alberta, Canada, July 2014
Editors: Charles J. Colbourn
Series Title: Springer Proceedings in Mathematics & Statistics
DOI: https://doi.org/10.1007/978-3-319-17729-8
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2015
Hardcover ISBN: 978-3-319-17728-1Published: 23 September 2015
Softcover ISBN: 978-3-319-37218-1Published: 22 October 2016
eBook ISBN: 978-3-319-17729-8Published: 03 September 2015
Series ISSN: 2194-1009
Series E-ISSN: 2194-1017
Edition Number: 1
Number of Pages: XI, 259
Number of Illustrations: 26 b/w illustrations, 69 illustrations in colour
Topics: Combinatorics, Linear and Multilinear Algebras, Matrix Theory, Number Theory, Information and Communication, Circuits