Hadamard matrices and their applications / S. S. Agaian

Auteur principal : Agaian, Sos S., 1946-, AuteurType de document : Livre numériqueCollection : Lecture notes in mathematics, 1168Langue : anglais.Éditeur : Berlin : Springer-Verlag, 1985ISBN: 9783540397403.ISSN: 1617-9692.Sujet MSC : 05B20, Combinatorics - Designs and configurations, Combinatorial aspects of matrices (incidence, Hadamard, etc.)
94A11, Communication, information, Application of orthogonal and other special functions
En-ligne : Springerlink | Zentralblatt | MathSciNet
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This book is timely and the contents are interesting, covering: §1. Basic definitions, notations and auxiliary results. Chapter 1. Construction of classic Hadamard matrices. §2. Methods of construction for Hadamard matrices. §3. Some problems of construction for Hadamard matrices. §4. New method for Hadamard matrices construction. Chapter 2. Construction of generalized Hadamard matrices. §5. Generalized Hadamard matrices. §6. Construction of higher-dimensional Hadamard matrices. Chapter 3. Application of Hadamard matrices. §7. Hadamard matrices and problems of information theory. §8. Hadamard matrices and design theory. §9. Other applications of Hadamard matrices. Appendix 1. Unanswered problems. Appendix 2. Tables of block-circulant, block-symmetric (plane and high-dimensional) Hadamard matrices of order (4n). References. Subject Index.
{Reviewer's remarks: There are many errors of proofreading, translation and actual content. For example, the definition of hyperframe given in Definition 6, p. 8 (which would be sets of amicable matrices which very rarely exist in interesting cases) contradicts that implied in Statement 3.7, p. 69 (which would be a special case of orthogonal designs). Another example is that the reviewer is referred to as "he'' and her work attributed incorrectly to W. D. Wallis (p. 2 and p. 21). The reviewer compiled a partial list of 11 pages of errors.} (MathSciNet)

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