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Orthogonal Arrays : Theory and Applications - A. S. Hedayat

Orthogonal Arrays

Theory and Applications

Hardcover Published: 22nd June 1999
ISBN: 9780387987668
Number Of Pages: 417

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This is the first book on the subject since its introduction more than fifty years ago, and it can be used as a graduate text or as a reference work. It features all of the key results, many very useful tables, and a large number of research problems. The book will be of interest to those interested in one of the most fascinating areas of discrete mathematics, connected to statistics and coding theory, with applications to computer science and cryptography. It will be useful for anyone who is running experiments, whether in a chemistry lab or a manufacturing plant (trying to make those alloys stronger), or in agricultural or medical research. Sam Hedayat is Professor of Statistics and Senior Scholar in the Department of Mathematics, Statistics, and Computer Science, University of Illinois, Chicago. Neil J. A. Sloane is with AT&T Bell Labs (now AT&T Labs). John Stufken is Professor Statistics at Iowa State University.

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From a review:


"The book is well written and nice to read. It contains a wealth of concrete examples, many exercises, some research problems and a generally quite thorough discussion of the available literature. I can recommend it to anybody interested in discrete mathematics, in particular designs and codes, or in design of experiements."

List of Symbols
Introductionp. 1
Rao's Inequalities and Improvementsp. 11
Orthogonal Arrays and Galois Fieldsp. 37
Orthogonal Arrays and Error-Correcting Codesp. 61
Construction of Orthogonal Arrays from Codesp. 87
Orthogonal Arrays and Difference Schemesp. 113
Orthogonal Arrays and Hadamard Matricesp. 145
Orthogonal Arrays and Latin Squaresp. 167
Mixed Orthogonal Arraysp. 199
Further Constructions and Related Structuresp. 223
Statistical Application of Orthogonal Arraysp. 247
Tables of Orthogonal Arraysp. 317
Galois Fieldsp. 341
Bibliographyp. 363
Author Indexp. 406
Subject Indexp. 411
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780387987668
ISBN-10: 0387987665
Series: Springer Series in Statistics
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 417
Published: 22nd June 1999
Publisher: Springer-Verlag New York Inc.
Country of Publication: US
Dimensions (cm): 24.77 x 16.51  x 2.54
Weight (kg): 0.76