Theory and Applications of Higher-Dimensional Hadamard Matrices: 1 (Combinatorics and Computer Science) - Softcover

Xian, Yang Yi Yi

9789048157303: Theory and Applications of Higher-Dimensional Hadamard Matrices: 1 (Combinatorics and Computer Science)

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ISBN 10: 9048157307 ISBN 13: 9789048157303

Verlag: Springer, 2010

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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.

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Verlag: Springer
Erscheinungsdatum: 2010
Sprache: Englisch
ISBN 10: 9048157307
ISBN 13: 9789048157303
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Anzahl der Seiten: 332
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9780792370611: Theory and Applications of Higher-Dimensional Hadamard Matrices: 1 (Combinatorics and Computer Science)

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Theory and Applications of Higher-Dimensional Hadamard Matrices

Yang Yi Xian

Verlag: Springer Netherlands, 2010

ISBN 10: 9048157307 ISBN 13: 9789048157303

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Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 cl. Bestandsnummer des Verk�ufers 5819584

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Theory and Applications of Higher-Dimensional Hadamard Matrices

Yang Yi Xian

Verlag: Springer Netherlands Dez 2010, 2010

ISBN 10: 9048157307 ISBN 13: 9789048157303

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Taschenbuch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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 4k and 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 the N-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. 332 pp. Englisch. Bestandsnummer des Verk�ufers 9789048157303

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Theory and Applications of Higher-Dimensional Hadamard Matrices

Yang Yi Xian

Verlag: Springer Netherlands, Springer Netherlands Dez 2010, 2010

ISBN 10: 9048157307 ISBN 13: 9789048157303

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Taschenbuch. Zustand: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 332 pp. Englisch. Bestandsnummer des Verk�ufers 9789048157303

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Theory and Applications of Higher-Dimensional Hadamard Matrices

Yang Yi Xian

Verlag: Springer Netherlands, 2010

ISBN 10: 9048157307 ISBN 13: 9789048157303

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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 4k and 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 the N-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. Bestandsnummer des Verk�ufers 9789048157303

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