Error-Correcting Linear Codes

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 fur 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 E. Kunyavskii, Mathematical Reviews, Issue 2008 h)

• Linear Codes.- Bounds and Modifications.- Finite Fields.- Cyclic Codes.- Mathematics and Audio Compact Discs.- Enumeration of Isometry Classes.- Solving Systems of Diophantine Linear Equations.- Linear Codes with a Prescribed Minimum Distance.- The General Case.