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

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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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Detail Information

Series Title

Springer Proceedings in Mathematics & Statistics

Call Number

512 ALG a

Publisher

Cham, Switzerland : Springer Cham., 2015

Collation

XI, 259

Language

English

ISBN/ISSN

978-3-319-17729-8

Classification

512

Content Type

text

Media Type

computer

Carrier Type

online resource

Edition

Ed. 1

Subject(s)

Linear Algebra
Discrete Mathematics

Specific Detail Info

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Statement of Responsibility

Editor: Charles J. Colbourn

Other Information

Cataloger

umi

Source

https://link.springer.com/content/pdf/10.1007/978-3-319-17729-8.pdf?pdf=button

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