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Algebraic Design Theory and Hadamard Matrices - ADTHM, Lethbridge, Alberta, Canada, July 2014 (Hardcover, 1st ed. 2015)
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Algebraic Design Theory and Hadamard Matrices - ADTHM, Lethbridge, Alberta, Canada, July 2014 (Hardcover, 1st ed. 2015)
Series: Springer Proceedings in Mathematics & Statistics, 133
Expected to ship within 12 - 17 working days
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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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