Coding Theory and Design Theory by Dijen Ray-Chaudhuri

Coding Theory and Design Theory by Dijen Ray-Chaudhuri

This IMA Volume in Mathematics and its Applications Coding Theory and Design Theory Part I: Coding Theory is based on the proceedings of a workshop which was an integral part of the 1987-88 IMA program on APLIED 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 R. C. 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 R. C. Bose's 1947 Sankhya paper Mathematical theory of the symmetrical factorial designs.

SKU	Nicht verfügbar
ISBN 13	9781461389965
ISBN 10	1461389968
Titel	Coding Theory and Design Theory
Autor	Dijen Ray-Chaudhuri
Serie	The Ima Volumes In Mathematics And Its Applications
Buchzustand	Nicht verfügbar
Bindungsart	Paperback
Verlag	Springer-Verlag New York Inc.
Erscheinungsjahr	2011-11-08
Seitenanzahl	239
Hinweis auf dem Einband	Die Abbildung des Buches dient nur Illustrationszwecken, die tatsächliche Bindung, das Cover und die Auflage können sich davon unterscheiden.
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