Description: Coding Theory and Design Theory Please note: this item is printed on demand and will take extra time before it can be dispatched to you (up to 20 working days). Part II Design Theory Author(s): Dijen Ray-Chaudhuri Format: Paperback Publisher: Springer-Verlag New York Inc., United States Imprint: Springer-Verlag New York Inc. ISBN-13: 9781461566564, 978-1461566564 Synopsis 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 [tel] 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".
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Book Title: Coding Theory and Design Theory
Number of Pages: 378 Pages
Publication Name: Coding Theory and Design Theory: Part Ii Design Theory
Language: English
Publisher: Springer-Verlag New York Inc.
Item Height: 235 mm
Subject: Computer Science, Mathematics
Publication Year: 2012
Type: Textbook
Item Weight: 605 g
Author: Dijen Ray-Chaudhuri
Item Width: 155 mm
Series: The Ima Volumes in Mathematics and Its Applications
Format: Paperback
