J. H. van Lint (auth.)3540641335, 9783540641339
From the reviews: “The 2nd (slightly enlarged) edition of the van Lint’s book is a short, concise, mathematically rigorous introduction to the subject. Basic notions and ideas are clearly presented from the mathematician’s point of view and illustrated on various special classes of codes…This nice book is a must for every mathematician wishing to introduce himself to the algebraic theory of coding.” European Mathematical Society Newsletter, 1993 “Despite the existence of so many other books on coding theory, this present volume will continue to hold its place as one of the standard texts….” The Mathematical Gazette, 1993 |
Table of contents :
Front Matter….Pages i-ix
Mathematical Background….Pages 1-21
Shannon’s Theorem….Pages 22-30
Linear Codes….Pages 31-41
Some Good Codes….Pages 42-53
Bounds on Codes….Pages 54-69
Cyclic Codes….Pages 70-90
Perfect Codes and Uniformly Packed Codes….Pages 91-106
Goppa Codes….Pages 107-115
Asymptotically Good Algebraic Codes….Pages 116-121
Arithmetic Codes….Pages 122-129
Convolutional Codes….Pages 130-143
Back Matter….Pages 144-174 |
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