Error-Correcting Linear Codes, w. CD-ROM

Preface

1 Linear Codes

2 Bounds and Modifications

3 Finite Fields

4 Cyclic Codes

5 Particular Series of Cyclic Codes

6 Encoding and Decoding of Cyclic Codes

7 Mathematics Behind Audio Compact Discs

8 Enumeration of Isometry Classes

9 Solving Diophantine Linear Systems

10 Linear Codes with a Prescribed Minimum Distance

11 Exhaustive Construction of Linear Codes

- References

From the reviews:



"The theory of error-correcting codes is a ... new addition to the list of mathematical disciplines. ... This book contains 51 figures and 102 tables. ... The book provides access to all results at a level which is proper for graduate students of mathematics and computer science as well as for researchers." (Zlatko Varbanov, Zentralblatt MATH, Vol. 1102 (4), 2007)

"This is a thorough treatment of the theory of error-correcting codes. ... This book is remarkable because of the enormous amount of material presented (in a very lucid style), but also because of the great variety of mathematical disciplines used ... . A beautiful book on applied mathematics!" (H. Mitsch, Monatshefte für Mathematik, Vol. 151 (3), 2007)

"The main object of the book under review is an error-correcting linear code. ... a motivated reader can profit much from studying this monograph, which contains rich material in one of the rapidly developing areas. ... The presentation of material is reader-friendly, arguments are clear and concise, numerous exercises are original and stimulating ... . To sum up, the book under review can be strongly recommended to anyone interested in the topic." (Boris È. Kunyavskii, Mathematical Reviews, Issue 2008 h)