Micheloni R., Marelli A., Ravasio R. Error Correction Codes for Non-Volatile Memories

Springer, 2008. — 337 р. — ISBN 978-1-4020-8390-7.Nowadays it is hard to find an electronic device which does not use codes: for example, we listen to music via heavily encoded audio CD's and we watch movies via encoded DVD's. There is at least one area where the use of encoding/decoding is not so developed, yet: Flash non-volatile memories. Flash memory high-density, low power, cost effectiveness, and scalable design make it an ideal choice to fuel the explosion of multimedia products, like USB keys, MP3 players, digital cameras and solid-state disk. In ECC for Non-Volatile Memories the authors expose the basics of coding theory needed to understand the application to memories, as well as the relevant design topics, with reference to both NOR and NAND Flash architectures. A collection of software routines is also included for better understanding. The authors form a research group (now at Qimonda) which is the typical example of a fruitful collaboration between mathematicians and engineers.Acknowledgements
Basic coding theory
Error correction codes
NOR Flash memories
NAND Flash memories
Reliability of floating gate memories
Hardware implementation of Galois field operators
Hamming code for Flash memories
Cyclic codes for non volatile storage
BCH hardware implementation in NAND Flash memories
Erasure technique
Appendix A: Hamming code
Appendix B: BCH code
Appendix C: The Galois field GF(24)
Appendix D: The parallel BCH code
Appendix E: Erasure decoding technique
Subject index