Fundamentals of Classical and Modern Error-Correcting Codes

An accessible textbook that uses step-by-step explanations, relatively easy mathematics and numerous examples to aid student understanding.

Preface; Acknowledgments; 1. Coding for reliable digital information transmission and storage; 2. Some elements of modern algebra and graphs; 3. Linear block codes; 4.Binary cyclic codes; 5. BCH codes; 6. Nonbinary BCH codes and Reed-Solomon codes; 7. Finite geometries, cyclic finite geometry codes, and majority-logic decoding; 8. Reed-Muller codes; 9. Some coding techniques; 10. Correction of error-bursts and erasures; 11. Introduction to low-density parity-check codes; 12. Cyclic and quasi-cyclic LDPC codes on finite geometries; 13. Partial geometries and their associated QC-LDPC codes; 14. Quasi-cyclic LDPC codes based on finite fields; 15. Graph-theoretic LDPC codes; 16. Collective encoding and soft-decision decoding of cyclic codes of prime lengths in Galois Fourier transform domain; 17. Polar codes; Appendices.