說明 
1 online resource (xi, 259 pages) : illustrations, digital ; 24 cm 

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computer c rdamedia 

online resource cr rdacarrier 

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系列 
Springer proceedings in mathematics & statistics, 21941009 ; volume 133


Springer proceedings in mathematics & statistics ; volume 133

附註 
On (−1, 1)matrices of skew type with the maximal determinants and tournaments  On good matrices and skew Hadamard matrices  Suitable permutations, binary covering arrays, and Paley matrices  Divisible design digraphs  New symmetric (61,16,4) designs obtained from codes  Doptimal matrices of orders 118, 138, 150, 154 and 174  Periodic Golay pairs of length 72  Classifying cocyclic Butson Hadamard matrices  Signed group orthogonal designs and their applications  On symmetric designs and binary 3frameproof codes  An algorithm for constructing Hjelmslev planes  Mutually unbiased biangular vectors and association schemes  A simple construction of complex equiangular lines  Inner product vectors for skewHadamard matrices  Twin bent functions and Clifford algebras  A WalshFourier approach to the circulant Hadamard matrices  A note on order and eigenvalue multiplicity of strongly regular graphs  Trades in complex Hadamard matrices  The hunt for weighting matrices of small orders  MenonHadamard difference sets obtained from a local field by natural projections  BIRS Workshop 14w2199 July 1113, 2014 Problem Solving Session 

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 
Host Item 
Springer eBooks

主題 
Combinatorial designs and configurations  Congresses


Hadamard matrices  Congresses


Mathematics


Combinatorics


Linear and Multilinear Algebras, Matrix Theory


Number Theory


Information and Communication, Circuits

Alt Author 
Colbourn, Charles J., editor


SpringerLink (Online service)

