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Algebraic design theory and Hadamard matrices[electronic resource] :ADTHM, Lethbridge, Alberta, Canada, July 2014 /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	511.6
書名/作者:	Algebraic design theory and Hadamard matrices : ADTHM, Lethbridge, Alberta, Canada, July 2014 // edited by Charles J. Colbourn.
其他作者:	Colbourn, Charles J.
團體作者:	Clark Conference
出版者:	Cham : : Springer International Publishing :, 2015.
面頁冊數:	xi, 259 p. : : ill., digital ;; 24 cm.
Contained By:	Springer eBooks
標題:	Combinatorial designs and configurations - Congresses.
標題:	Hadamard matrices - Congresses.
標題:	Mathematics.
標題:	Combinatorics.
標題:	Linear and Multilinear Algebras, Matrix Theory.
標題:	Number Theory.
標題:	Information and Communication, Circuits.
ISBN:	9783319177298
ISBN:	9783319177281
內容註:	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 -- D-optimal 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 3-frameproof 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 skew-Hadamard matrices -- Twin bent functions and Clifford algebras -- A Walsh-Fourier 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 -- Menon-Hadamard difference sets obtained from a local field by natural projections -- BIRS Workshop 14w2199 July 11-13, 2014 Problem Solving Session.
摘要、提要註:	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.
電子資源:	http://dx.doi.org/10.1007/978-3-319-17729-8

Algebraic design theory and Hadamard matrices[electronic resource] :ADTHM, Lethbridge, Alberta, Canada, July 2014 /
Algebraic design theory and Hadamard matricesADTHM, Lethbridge, Alberta, Canada, July 2014 /[electronic resource] :edited by Charles J. Colbourn. - Cham :Springer International Publishing :2015. - xi, 259 p. :ill., digital ;24 cm. - Springer proceedings in mathematics & statistics,v.1332194-1009 ;. - Springer proceedings in mathematics & statistics ;v.70..

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 -- D-optimal 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 3-frameproof 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 skew-Hadamard matrices -- Twin bent functions and Clifford algebras -- A Walsh-Fourier 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 -- Menon-Hadamard difference sets obtained from a local field by natural projections -- BIRS Workshop 14w2199 July 11-13, 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 error-correcting codes, they have found unexpected and important applications in cryptography, quantum information theory, communications, and networking.

ISBN: 9783319177298

Standard No.: 10.1007/978-3-319-17729-8doiSubjects--Topical Terms:

635614
Combinatorial designs and configurations
--Congresses.

LC Class. No.: QA166.25

Dewey Class. No.: 511.6

Algebraic design theory and Hadamard matrices[electronic resource] :ADTHM, Lethbridge, Alberta, Canada, July 2014 /
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