Introduction to coding theory

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This textbook's enduring popularity has led to a third edition, which has been significantly improved and expanded. The previous two pages on algebraic geometry codes have been replaced with a more comprehensive chapter on the topic, requiring a greater mathematical background from readers. A new chapter on binary codes defined over the alphabet 7l.4 has been added due to the growing interest in this area, equipping readers to engage with recent literature on 7l.-codes. Additionally, material from the author's Springer Lecture Notes 201, including Generalized Reed-Solomon Codes and Generalized Reed-Muller Codes, has been incorporated for the first time. Chapter 2 now features a section on "Coding Gain," providing engineers with a rationale for using error-correcting codes. For the author, this edition marks a welcome return to mathematics after seven years in administration. Gratitude is expressed to C. P. l. M. Baggen, I. M. Duursma, H. D. L. Hollmann, H. C. A. van Tilborg, and R. M. Wilson for their valuable discussions on the new material, with special thanks to R. A. Pellikaan for assistance with Chapter 10.