Fundamentals of Classical and Modern Error-Correcting Codes
Autor Shu Lin, Juane Lien Limba Engleză Hardback – 8 dec 2021
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Specificații
ISBN-13: 9781316512623
ISBN-10: 1316512622
Pagini: 840
Dimensiuni: 195 x 253 x 44 mm
Greutate: 1.68 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Locul publicării:Cambridge, United Kingdom
ISBN-10: 1316512622
Pagini: 840
Dimensiuni: 195 x 253 x 44 mm
Greutate: 1.68 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Locul publicării:Cambridge, United Kingdom
Cuprins
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.
Recenzii
'… masterfully provides a comprehensive treatment of both traditional codes as well as new and most promising coding families and decoding algorithms …' Bane Vasić, University of Arizona
' an excellent, unique, and valuable contribution to the teaching of the subject.' Ian Blake, University of British Columbia
'A highly readable introduction into the theory of block codes, including classical code constructions, an extensive treatment of LDPC codes, with emphasis on quasi-cyclic constructions, and an introduction to polar codes. Recommended for a beginning graduate course in coding, with enough material for either one or two semesters. Numerous examples and problems make the book very student friendly.' Daniel Costello, University of Notre Dame
'The book truly explains these highly mathematical subjects to a level that can be accessed and applied with as little background in mathematics as possible. It provides step-by-step explanation of all covered topics, both more theoretical or applied, and includes sufficient illustrative examples to assist understanding.' Nikolay Yankov, zbMATH
' an excellent, unique, and valuable contribution to the teaching of the subject.' Ian Blake, University of British Columbia
'A highly readable introduction into the theory of block codes, including classical code constructions, an extensive treatment of LDPC codes, with emphasis on quasi-cyclic constructions, and an introduction to polar codes. Recommended for a beginning graduate course in coding, with enough material for either one or two semesters. Numerous examples and problems make the book very student friendly.' Daniel Costello, University of Notre Dame
'The book truly explains these highly mathematical subjects to a level that can be accessed and applied with as little background in mathematics as possible. It provides step-by-step explanation of all covered topics, both more theoretical or applied, and includes sufficient illustrative examples to assist understanding.' Nikolay Yankov, zbMATH
Notă biografică
Descriere
An accessible textbook that uses step-by-step explanations, relatively easy mathematics and numerous examples to aid student understanding.