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Handbook of Coding Theory,9780444500885
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Handbook of Coding Theory


Author(s): Unknown
ISBN10:  044450088X
ISBN13:  9780444500885
Format:  Hardcover
Pub. Date:  11/16/1998
Publisher(s): Elsevier Science & Technology

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SummaryTable of Contents
The Handbook is divided into three parts, the first part comprising Vo lume I and the remaining two parts Volume II. Part I, Algebraic Codin g, deals primarily with the algebraic structure of error correcting co des. Part 2, Connections, is devoted to connections between coding th eory and other branches of mathematics and computer science. Part 3, Applications, deals with a variety of applications of coding. The aut hors have taken a broad perspective on their topics, and, by interacti ng with other authors, have often established links between the chapte rs. Most of the chapters are self-contained with the majority of the proofs presented in full. Open problems are often identified, and many chapters bring you to the frontiers of research. Each chapter provid es and extensive bibliography that will be a tool to extend the develo pment of that chapter.
Volume I
Preface vii
List of Contributors
xiii
Part 1: Algebraic Coding
An introduction to algebraic codes
3(138)
V.S. Pless
W.C. Huffman
R.A. Brualdi
Coding constructions
141(36)
V.S. Pless
Self-dual codes
177(118)
E.M. Rains
N.J.A. Sloane
Bounds on the size of linear codes
295(168)
A.E. Brouwer
An updated table of the best binary codes known
463(36)
S. Litsyn
Universal bounds for codes and designs
499(150)
V.I. Levenshtein
Complexity issues in coding theory
649(106)
A. Barg
Covering radius
755(72)
R.A. Brualdi
S. Litsyn
V.S. Pless
Quadratic residue codes and divisibility
827(44)
H.N. Ward
Algebraic geometry codes
871(92)
T. Hoholdt
J.H. van Lint
R. Pellikaan
Open problems on cyclic codes
963(102)
P. Charpin
The algebraic theory of convolutional codes
1065(76)
R.J. McEliece
Author Index I-1
Subject Index I-27
Volume II
Preface vii
List of Contributors
xiii
Part 2: Connections
Codes and number theory
1141(54)
I. Honkala
A. Tietavainen
Coding theory at work in cryptology and vice versa
1195(34)
H.C.A. van Tilborg
Codes and designs
1229(40)
V.D. Tonchev
Polynomial codes and finite geometries
1269(76)
E.F. Assmus
J.D. Key
Codes and groups
1345(96)
W.C. Huffman
Codes and association schemes: Basic properties of association schemes relevant to coding
1441(128)
P. Camion
Part 3: Applications
Decoding of cyclic codes and codes on curves
1569(66)
R.E. Blahut
Constrained systems and coding for recording channels
1635(130)
B.H. Marcus
R.M. Roth
P.H. Siegel
Sequences with low correlation
1765(90)
T. Helleseth
P. Vijay Kumar
Array codes
1855(56)
M. Blaum
P.G. Farrell
H.C.A. van Tilborg
Concatenated codes and their multilevel generalizations
1911(78)
I. Dumer
Trellis structure of codes
1989(130)
A. Vardy
Deep space applications
2119
S. Wicker
Author Index I-1(1)
Subject Index I-27

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