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 European University Institute.This item is available to borrow from 1 library branch.
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 European University Institute.
This item is available to borrow from 1 library branch.
- 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
- 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
- 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 error-correcting codes, they have found unexpected and important applications in cryptography, quantum information theory, communications, and networking
- 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)
- 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)
- 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
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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.eui.eu/portal/Algebraic-Design-Theory-and-Hadamard-Matrices-/t4TZXQO-gl8/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.eui.eu/portal/Algebraic-Design-Theory-and-Hadamard-Matrices-/t4TZXQO-gl8/">Algebraic Design Theory and Hadamard Matrices : ADTHM, Lethbridge, Alberta, Canada, July 2014, edited by Charles J. Colbourn, (electronic resource)</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.eui.eu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.eui.eu/">European University Institute</a></span></span></span></span></div>