The technology of error-correcting codes
- 1 May 1980
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in Proceedings of the IEEE
- Vol. 68 (5), 564-593
- https://doi.org/10.1109/proc.1980.11696
Abstract
This paper is a survey of error-correcting codes, with emphasis on the costs of encoders and decoders, and the relationship of these costs to various important system parameters such as speed and delay. Following an introductory overview, the remainder of this paper is divided into three sections corresponding to the three major types of channel noise: white Gaussian noise, interference, and digital errors of the sort which occur in secondary memories such as disks. Appendix A presents some of the more important facts about modern implementations of decoders for long high-rate Reed-Solomon codes, which play an important role throughout the paper. Appendix B investigates some important aspects of the tradeoffs between error correction and error detection.Keywords
This publication has 19 references indexed in Scilit:
- The algebraic decoding of Goppa codesIEEE Transactions on Information Theory, 1975
- A method for solving key equation for decoding goppa codesInformation and Control, 1975
- Forced-Erasure Decoding and the Erasure Reconstruction Spectra for Group CodesIEEE Transactions on Communication Technology, 1967
- Lower bounds to error probability for coding on discrete memoryless channels. IInformation and Control, 1967
- A simple derivation of the coding theorem and some applicationsIEEE Transactions on Information Theory, 1965
- Polynomial Codes Over Certain Finite FieldsJournal of the Society for Industrial and Applied Mathematics, 1960
- On a class of error correcting binary group codesInformation and Control, 1960
- Probability of Error for Optimal Codes in a Gaussian ChannelBell System Technical Journal, 1959
- Error Detecting and Error Correcting CodesBell System Technical Journal, 1950
- A Mathematical Theory of CommunicationBell System Technical Journal, 1948