Fundamentals of Error Correcting Codes is an in-depth introduction to coding theory from both an engineering and mathematical viewpoint. It reviews classical topics, and gives much coverage of recent techniques which could previously only be found in specialist publications.

Numerous exercises and examples and an accessible writing style make this a lucid and effective introduction to coding theory for advanced undergraduate and graduate students, researchers and engineers - whether approaching the subject from a mathematical, engineering or computer science background.

Contents

• Basic concepts of linear codes
• Bounds on size of codes
• Finite fields
• Cyclic codes
• BCH and Reed-Soloman codes
• Duadic codes
• Weight distributions
• Designs
• Self-dual codes
• Some favorite self-dual codes
• Covering radius and cosets
• Codes over Z4
• Codes from algebraic geometry
• Convolutional codes
• Soft decision and iterative decoding

• References
• Symbol index
• Subject index