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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)

Editor
Contributor
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 error-correcting codes, they have found unexpected and important applications in cryptography, quantum information theory, communications, and networking
Language
eng
Work
Publication
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
  • 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
Isbn
9783319177298
Link
http://ezproxy.eui.eu/login?url=http://dx.doi.org/10.1007/978-3-319-17729-8
Instance
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
Contributor
Editor
Subject
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 error-correcting codes, they have found unexpected and important applications in cryptography, quantum information theory, communications, and networking
Member of
Image bit depth
0
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
  • Colbourn, Charles J.
  • SpringerLink (Online service)
Series statement
Springer Proceedings in Mathematics & Statistics,
Series volume
133
http://library.link/vocab/subjectName
  • Mathematics
  • Matrix theory
  • Algebra
  • Information theory
  • Number theory
  • Combinatorics
Label
Algebraic Design Theory and Hadamard Matrices : ADTHM, Lethbridge, Alberta, Canada, July 2014, edited by Charles J. Colbourn, (electronic resource)
Link
http://ezproxy.eui.eu/login?url=http://dx.doi.org/10.1007/978-3-319-17729-8
Instantiates
Publication
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 -- 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
Control code
978-3-319-17729-8
Dimensions
unknown
Extent
XI, 259 p. 95 illus., 69 illus. in color.
File format
multiple file formats
Form of item
electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319177298
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
  • c
Other control number
10.1007/978-3-319-17729-8
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1086548565
Label
Algebraic Design Theory and Hadamard Matrices : ADTHM, Lethbridge, Alberta, Canada, July 2014, edited by Charles J. Colbourn, (electronic resource)
Link
http://ezproxy.eui.eu/login?url=http://dx.doi.org/10.1007/978-3-319-17729-8
Publication
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 -- 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
Control code
978-3-319-17729-8
Dimensions
unknown
Extent
XI, 259 p. 95 illus., 69 illus. in color.
File format
multiple file formats
Form of item
electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319177298
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
  • c
Other control number
10.1007/978-3-319-17729-8
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1086548565

Subject

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