Coding Theory and Design Theory : Part II Design Theory

Language: English

Published by Springer, 2012

1461566568 / 9781461566564

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Druck auf Anfrage Neuware - Printed after ordering - This IMA Volume in Mathematics and its Applications Coding Theory and Design Theory Part II: Design Theory is based on the proceedings of a workshop which was an integral part of the 1987-88 IMA program on APPLIED COMBINATORICS. We are grateful to the Scientific Committee: Victor Klee (Chairman), Daniel Kleitman, Dijen Ray-Chaudhuri and Dennis Stanton for planning and implementing an exciting and stimulating year long program. We especially thank the Workshop Organizer, Dijen Ray-Chaudhuri, for organizing a workshop which brought together many of the major figures in a variety of research fields in which coding theory and design theory are used. A vner Friedman Willard Miller, Jr. PREFACE Coding Theory and Design Theory are areas of Combinatorics which found rich applications of algebraic structures. Combinatorial designs are generalizations of finite geometries. Probably, the history of Design Theory begins with the 1847 pa per of Reverand T. P. Kirkman 'On a problem of Combinatorics', Cambridge and Dublin Math. Journal. The great Statistician R. A. Fisher reinvented the concept of combinatorial 2-design in the twentieth century. Extensive application of alge braic structures for construction of 2-designs (balanced incomplete block designs) can be found in RC. Bose's 1939 Annals of Eugenics paper, 'On the construction of balanced incomplete block designs'. Coding Theory and Design Theory are closely interconnected. Hamming codes can be found (in disguise) in RC. Bose's 1947 Sankhya paper 'Mathematical theory of the symmetrical factorial designs'.…

Seller Inventory # 9781461566564

Title
Coding Theory and Design Theory : Part II Design Theory
Author
Dijen Ray-Chaudhuri
Publisher
Springer
Publication year
2012
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
1461566568
ISBN 13
9781461566564
Item weight
598 grams
Dimensions
235x155x22 mm

AHA-BUCH GmbH

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