Coding Theory and Design Theory

Name: Coding Theory and Design Theory
Brand: Springer-Verlag New York Inc.
SKU: 9781461389965
Price: 551.94 RON
Availability: InStock

Part I Coding Theory

Autor: Dijen Ray-Chaudhuri

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Editura: Springer-Verlag New York Inc.

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This IMA Volume in Mathematics and its Applications Coding Theory and Design Theory Part I: Coding T...

Informații despre carte

Autor

Dijen Ray-Chaudhuri

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2011

Pagini

239

EAN

9781461389965

ISBN

1461389968

Enbook ID

06797303

Editura

Springer-Verlag New York Inc.

Greutate

394

Dimensiuni

155 x 235 x 15

Descriere completă

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 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 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".

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Coding Theory and Design Theory

Part I Coding Theory

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