Coding Theory: A First Course

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Cambridge University Press, Feb 12, 2004 - Mathematics - 222 pages
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Coding theory is concerned with successfully transmitting data through a noisy channel and correcting errors in corrupted messages. It is of central importance for many applications in computer science or engineering. This book gives a comprehensive introduction to coding theory whilst only assuming basic linear algebra. It contains a detailed and rigorous introduction to the theory of block codes and moves on to more advanced topics like BCH codes, Goppa codes and Sudan's algorithm for list decoding. The issues of bounds and decoding, essential to the design of good codes, features prominently. The authors of this book have, for several years, successfully taught a course on coding theory to students at the National University of Singapore. This book is based on their experiences and provides a thoroughly modern introduction to the subject. There are numerous examples and exercises, some of which introduce students to novel or more advanced material.
  

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Contents

II
1
III
5
V
8
VII
10
VIII
11
IX
14
X
17
XII
39
XLI
102
XLII
106
XLIII
113
XLV
118
XLVI
121
XLVII
126
XLVIII
133
L
136

XIV
45
XV
46
XVI
48
XVII
52
XVIII
56
XIX
57
XX
59
XXII
61
XXIII
66
XXIV
75
XXVI
80
XXVIII
82
XXIX
83
XXX
84
XXXI
87
XXXII
88
XXXIII
92
XXXIV
95
XXXV
96
XXXVI
98
XXXVIII
99
XL
100
LI
141
LII
145
LIII
150
LIV
153
LV
159
LVIII
161
LIX
168
LX
171
LXI
175
LXII
183
LXIII
189
LXV
192
LXVI
196
LXVII
202
LXVIII
203
LXIX
205
LXX
209
LXXI
215
LXXII
217
LXXIII
219
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About the author (2004)

Chaoping Xing is Full Professor in the Department of Physical & Mathematical Sciences at Nanyang Technological University, Singapore.

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