Coding Theory And Design Theory


Coding Theory And Design Theory
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Coding Theory And Design Theory


Coding Theory And Design Theory
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Author : Dijen K. Ray-Chaudhuri
language : en
Publisher:
Release Date : 1990

Coding Theory And Design Theory written by Dijen K. Ray-Chaudhuri and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with categories.




Coding Theory And Design Theory


Coding Theory And Design Theory
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Author : Dijen Ray-Chaudhuri
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Coding Theory And Design Theory written by Dijen Ray-Chaudhuri and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


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".



Coding Theory And Design Theory


Coding Theory And Design Theory
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FREE 30 Days

Author : Dijen Ray-Chaudhuri
language : en
Publisher:
Release Date : 1990-04-02

Coding Theory And Design Theory written by Dijen Ray-Chaudhuri and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-04-02 with categories.




Coding Theory And Design Theory


Coding Theory And Design Theory
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Author : Dijen Ray-Chaudhuri
language : en
Publisher: Springer
Release Date : 2014-08-15

Coding Theory And Design Theory written by Dijen Ray-Chaudhuri and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-15 with categories.


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.



Coding Theory And Design Theory


Coding Theory And Design Theory
DOWNLOAD
FREE 30 Days

Author : Dijen Ray-Chaudhuri
language : en
Publisher:
Release Date : 1990

Coding Theory And Design Theory written by Dijen Ray-Chaudhuri and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with categories.




Combinatorial Design Theory


Combinatorial Design Theory
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Author : C.J. Colbourn
language : en
Publisher: Elsevier
Release Date : 2011-09-22

Combinatorial Design Theory written by C.J. Colbourn and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-22 with Mathematics categories.


Combinatorial design theory is a vibrant area of combinatorics, connecting graph theory, number theory, geometry, and algebra with applications in experimental design, coding theory, and numerous applications in computer science. This volume is a collection of forty-one state-of-the-art research articles spanning all of combinatorial design theory. The articles develop new methods for the construction and analysis of designs and related combinatorial configurations; both new theoretical methods, and new computational tools and results, are presented. In particular, they extend the current state of knowledge on Steiner systems, Latin squares, one-factorizations, block designs, graph designs, packings and coverings, and develop recursive and direct constructions. The contributions form an overview of the current diversity of themes in design theory for those peripherally interested, while researchers in the field will find it to be a major collection of research advances. The volume is dedicated to Alex Rosa, who has played a major role in fostering and developing combinatorial design theory.



Fundamentals Of Information Theory And Coding Design


Fundamentals Of Information Theory And Coding Design
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Author : Roberto Togneri
language : en
Publisher: CRC Press
Release Date : 2003-01-13

Fundamentals Of Information Theory And Coding Design written by Roberto Togneri and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-01-13 with Computers categories.


Books on information theory and coding have proliferated over the last few years, but few succeed in covering the fundamentals without losing students in mathematical abstraction. Even fewer build the essential theoretical framework when presenting algorithms and implementation details of modern coding systems. Without abandoning the theoret



Coding Theory Design Theory Group Theory


Coding Theory Design Theory Group Theory
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Author : D. Jungnickel
language : en
Publisher: Wiley-Interscience
Release Date : 1993-07-21

Coding Theory Design Theory Group Theory written by D. Jungnickel and has been published by Wiley-Interscience this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-07-21 with Mathematics categories.


Contains papers prepared for the 1990 multidisciplinary conference held to honor the late mathematician and researcher. Topics include applications of classic geometry to finite geometries and designs; multiple transitive permutation groups; low dimensional groups and their geometry; difference sets in 2-groups; construction of Galois groups; construction of strongly p-imbeded subgroups in finite simple groups; Hall triple systems, Fisher spaces and 3-transposition groups; explicit embeddings in finitely generated groups; 2-transitive and flag transitive designs; efficient representations of perm groups; codes and combinatorial designs; optimal normal bases for finite fields; vector space designs from quadratic forms and inequalities; primitive permutation groups, graphs and relation algebras; large sets of ordered designs, orthogonal 1-factorizations and hyperovals; algebraic integers all of whose algebraic conjugates have the same absolute value.



Design Theory


Design Theory
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Author : D. R. Hughes
language : en
Publisher: Cambridge University Press
Release Date : 1988-03-10

Design Theory written by D. R. Hughes and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-03-10 with Mathematics categories.


Design theory has grown to be a subject of considerable interest in mathematics, not only in itself, but for its connections to other fields such as geometry, group theory, graph theory and coding theory. This textbook, first published in 1985, is intended to be an accessible introduction to the subject for advanced undergraduate and beginning graduate students which should prepare them for research in design theory and its applications. The first four chapters of the book are designed to be the core of any course in the subject, while the remaining chapters can be utilized in more advanced or longer courses. The authors assume some knowledge of linear algebra for the first half of the book, but for the second half, students need further background in algebra.



Graph Theory Coding Theory And Block Designs


Graph Theory Coding Theory And Block Designs
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Author : P. J. Cameron
language : en
Publisher: Cambridge University Press
Release Date : 1975-09-18

Graph Theory Coding Theory And Block Designs written by P. J. Cameron and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975-09-18 with Mathematics categories.


These are notes deriving from lecture courses on the theory of t-designs and graph theory given by the authors in 1973 at Westfield College, London.