Design Theory

Thomas Beth; Deiter Jungnickel; Hanfried Lenz

doi:10.1017/CBO9780511549533

Design Theory

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Volume 1, 2nd edition
Thomas Beth, Universität Fridericiana Karlsruhe, Germany, Deiter Jungnickel, Universität Augsburg, Hanfried Lenz, Freie Universität Berlin

Publisher:: Cambridge University Press
Online publication date:: October 2011
Print publication year:: 1999
Online ISBN:: 9780511549533
DOI:: https://doi.org/10.1017/CBO9780511549533

Subjects:: Mathematics (general), Mathematics, Discrete Mathematics Information Theory and Coding
Series:: Encyclopedia of Mathematics and its Applications (69)

204.00 (USD)

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This is the first volume of the second edition of the standard text on design theory. Since the first edition there has been extensive development of the theory and this book has been thoroughly rewritten and extended during that time. In particular the growing importance of discrete mathematics to many parts of engineering and science have made designs a useful tool for applications. It is suitable for advanced courses and as a reference work, not only for researchers in discrete mathematics or finite algebra, but also for those working in computer and communications engineering and other mathematically oriented disciplines. Exercises are included throughout, and the book concludes with an extensive and updated bibliography of well over 1800 items.

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Design Theory

This Book has been cited by the following publications. This list is generated based on data provided by Crossref.

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Contents

Frontmatter
pp i-xii

Contents
pp xiii-xx

I - Examples and basic definitions
pp 1-61

II - Combinatorial analysis of designs
pp 62-161

III - Groups and designs
pp 162-233

IV - Witt designs and Mathieu groups
pp 234-276

V - Highly transitive groups
pp 277-296

VI - Difference sets and regular symmetric designs
pp 297-467

VII - Difference families
pp 468-519

VIII - Further direct constructions
pp 520-608

Notation and symbols
pp 609-616

Bibliography
pp 617-696

Index
pp 697-705

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Design Theory

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