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 errorcorrecting codes, they have found unexpected and important applications in cryptography, quantum information theory, communications, and networking.
About Charles J. Colbourn
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Author  :  Charles J. Colbourn 
Publisher  :  Springer International Publishing AG 
Data Published  :  23 September 2015 
ISBN  :  3319177281 
EAN  :  9783319177281 
Format Book  :  PDF, Epub, DOCx, TXT 
Number of Pages  :  259 pages 
Age +  :  15 years 
Language  :  English 
Rating  : 
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