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The Resource Algebraic Design Theory and Hadamard Matrices : ADTHM, Lethbridge, Alberta, Canada, July 2014, edited by Charles J. Colbourn, (electronic resource)
Algebraic Design Theory and Hadamard Matrices : ADTHM, Lethbridge, Alberta, Canada, July 2014, edited by Charles J. Colbourn, (electronic resource)
Resource Information
The item Algebraic Design Theory and Hadamard Matrices : ADTHM, Lethbridge, Alberta, Canada, July 2014, edited by Charles J. Colbourn, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item Algebraic Design Theory and Hadamard Matrices : ADTHM, Lethbridge, Alberta, Canada, July 2014, edited by Charles J. Colbourn, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
 Summary
 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
 Language
 eng
 Extent
 XI, 259 p. 95 illus., 69 illus. in color.
 Contents

 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 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
 Isbn
 9783319177298
 Label
 Algebraic Design Theory and Hadamard Matrices : ADTHM, Lethbridge, Alberta, Canada, July 2014
 Title
 Algebraic Design Theory and Hadamard Matrices
 Title remainder
 ADTHM, Lethbridge, Alberta, Canada, July 2014
 Statement of responsibility
 edited by Charles J. Colbourn
 Language
 eng
 Summary
 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
 Image bit depth
 0
 LC call number
 QA164167.2
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorName

 Colbourn, Charles J.
 SpringerLink
 Series statement
 Springer Proceedings in Mathematics & Statistics,
 Series volume
 133
 http://library.link/vocab/subjectName

 Mathematics
 Matrix theory
 Algebra
 Information theory
 Number theory
 Combinatorics
 Mathematics
 Combinatorics
 Linear and Multilinear Algebras, Matrix Theory
 Number Theory
 Information and Communication, Circuits
 Label
 Algebraic Design Theory and Hadamard Matrices : ADTHM, Lethbridge, Alberta, Canada, July 2014, edited by Charles J. Colbourn, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 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 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
 Dimensions
 unknown
 Extent
 XI, 259 p. 95 illus., 69 illus. in color.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783319177298
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9783319177298
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319177298
 Label
 Algebraic Design Theory and Hadamard Matrices : ADTHM, Lethbridge, Alberta, Canada, July 2014, edited by Charles J. Colbourn, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 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 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
 Dimensions
 unknown
 Extent
 XI, 259 p. 95 illus., 69 illus. in color.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783319177298
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9783319177298
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319177298
Subject
 Algebra
 Algebra
 Combinatorics
 Combinatorics
 Electronic resources
 Information and Communication, Circuits
 Information theory
 Information theory
 Linear and Multilinear Algebras, Matrix Theory
 Mathematics
 Mathematics
 Matrix theory
 Number Theory
 Number Theory
 Number theory
 Number theory
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