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Springer Proceedings in Mathematics & Statistics

Algebraic Design Theory and Hadamard Matrices

ADTHM, Lethbridge, Alberta, Canada, July 2014

Editors: Colbourn, Charles J. (Ed.)

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  • ​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
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eBook $109.00
price for USA in USD (gross)
  • ISBN 978-3-319-17729-8
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Hardcover $159.99
price for USA in USD
  • ISBN 978-3-319-17728-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $139.99
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  • ISBN 978-3-319-37218-1
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  • Usually dispatched within 3 to 5 business days.
About this book

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.

Table of contents (21 chapters)

Table of contents (21 chapters)

Buy this book

eBook $109.00
price for USA in USD (gross)
  • ISBN 978-3-319-17729-8
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.99
price for USA in USD
  • ISBN 978-3-319-17728-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $139.99
price for USA in USD
  • ISBN 978-3-319-37218-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

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
Series Volume
133
Copyright
2015
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-17729-8
DOI
10.1007/978-3-319-17729-8
Hardcover ISBN
978-3-319-17728-1
Softcover ISBN
978-3-319-37218-1
Series ISSN
2194-1009
Edition Number
1
Number of Pages
XI, 259
Number of Illustrations
26 b/w illustrations, 69 illustrations in colour
Topics