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Theory and Applications of Higher-Dimensional Hadamard Matrices - Yang Yi Xian
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Yang Yi Xian:
Theory and Applications of Higher-Dimensional Hadamard Matrices - nieuw boek

ISBN: 9789048157303

ID: 978904815730

This is the first book on higher dimensional Hadamard matrices and their applications in telecommunications and information security. It is divided into three parts according to the dimensions of the Hadamard matrices treated. The first part stresses the classical 2-dimensional Walsh and Hadamard matrices. Fast algorithms, updated constructions, existence results, and their generalised forms are presented. The second part deals with the lower-dimensional cases, e.g. 3-, 4-, and 6-dimensional Walsh and Hadamard matrices and transforms. One of the aims of this part is to simplify moving smoothly from 2-dimensional cases to the general higher-dimensional cases. This part concentrates on the 3-dimensional Hadamard and Walsh matrices. Constructions based upon direct multiplication, and upon recursive methods, and perfect binary arrays are also introduced. Another important topic is the existence and construction of 3-dimensional Hadamard matrices of orders 4kand 4k+ 2 respectively, and a group of transforms based on 2-, 3-, 4-, and 6-dimensional Walsh-Hadamard matrices and their corresponding fast algorithms.The third part is the key part, which investigates theN-dimensional Hadamard matrices of order 2, which have been proved equivalent to the well-known H-Boolean functions and the perfect binary arrays of order 2. This equivalence motivates a group of perfect results about the enumeration of higher-dimensional Hadamard matrices of order 2. Applications of these matrices to feed forward networking, stream cipher, Bent functions, and error correction codes are presented in turn. After introducing the definitions of the regular, proper, improper, and generalised higher-dimensional Hadamard matrices, many theorems about the existence and constructions are presented. Perfect binary arrays, generalised perfect arrays, and the orthogonal designs are also used to construct new higher-dimensional Hadamard matrices. The many open problems in the study of the theory of higher-dimensional Hadamard matrices, which are also listed in the book, will encourage further research.Audience:This volume will appeal to researchers and graduate students whose work involves signal processing, coding, information security, and applied discrete mathematics. Yang Yi Xian, Books, Theory and Applications of Higher-Dimensional Hadamard Matrices Books, Springer-Verlag/Sci-Tech/Trade

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Theory and Applications of Higher-Dimensional Hadamard Matrices - Xian, Yang Yi
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Xian, Yang Yi:
Theory and Applications of Higher-Dimensional Hadamard Matrices - pocketboek

2010, ISBN: 9048157307

gebonden uitgave, ID: A12091539

Softcover reprint of hardcover 1st ed. 2001 Kartoniert / Broschiert Mathematik, Diskrete Mathematik, Algebra, Angewandte Mathematik, Wartung und Reparaturen, IT, Algorithmen und Datenstrukturen, Kryptografie, Verschlüsselungstechnologie, Informationsarchitektur, mit Schutzumschlag neu, [PU:Springer Netherlands; Springer Netherland]

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Theory and Applications of Higher-Dimensional Hadamard Matrices - Yang Yi  Xian
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Yang Yi Xian:
Theory and Applications of Higher-Dimensional Hadamard Matrices - nieuw boek

ISBN: 9789048157303

ID: 9789048157303

Mathematics; Linear and Multilinear Algebras, Matrix Theory; Discrete Mathematics in Computer Science; Information and Communication, Circuits; Data Structures, Cryptology and Information Theory; Management of Computing and Information Systems Books, Springer Shop

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Theory and Applications of Higher-Dimensional Hadamard Matrices - Yang Yi Xian
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Yang Yi Xian:
Theory and Applications of Higher-Dimensional Hadamard Matrices - pocketboek

ISBN: 9789048157303

ID: 9789048157303

Theory and Applications of Higher-Dimensional Hadamard Matrices Theory-And-Applications-Of-Higher-Dimensional-Hadamard-Matrices~~Yang-Xian Science>Mathematics>Mathematics Paperback, Springer Netherlands

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Theory and Applications of Higher-Dimensional Hadamard Matrices - Yang Yi Xian
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Yang Yi Xian:
Theory and Applications of Higher-Dimensional Hadamard Matrices - nieuw boek

ISBN: 9789048157303

ID: 610967421_nw

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Theory and Applications of Higher-Dimensional Hadamard Matrices

This is the first book on higher dimensional Hadamard matrices and their applications in telecommunications and information security. It is divided into three parts according to the dimensions of the Hadamard matrices treated.

Gedetalleerde informatie over het boek. - Theory and Applications of Higher-Dimensional Hadamard Matrices


EAN (ISBN-13): 9789048157303
ISBN (ISBN-10): 9048157307
Gebonden uitgave
pocket book
Verschijningsjaar: 2010
Uitgever: Springer-Verlag GmbH
332 Bladzijden
Gewicht: 0,503 kg
Taal: eng/Englisch

Boek bevindt zich in het datenbestand sinds 18.06.2011 14:37:15
Boek voor het laatst gevonden op 14.11.2018 07:51:54
ISBN/EAN: 9789048157303

ISBN - alternatieve schrijfwijzen:
90-481-5730-7, 978-90-481-5730-3


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