Potential and realized correcting characteristics of cascading codes on the basis of Reed-Solomon codes
Abstract
A method is described in which Reed-Solomon codes are used as second degree codes whose combinations are subject to random linear transformation before coding by first degree codes. Two cases of first degree coding were investigated. It is shown that: for both cases of coding with first degree codes, the overwhelming part of the cascade codes have optimal potential correcting characteristics (code spacing and error detection probability); and if one first degree code is used, an improvement in the characteristics takes place without the deterioration which occurs during algebraic cascade coding.
- Publication:
-
Increasing the Accuracy of Transmission of Digital Inform. on Discrete Channels
- Pub Date:
- 1974
- Bibcode:
- 1974iatd.rept....5B
- Keywords:
-
- Cascade Control;
- Error Correcting Codes;
- Solomon Computers;
- Algorithms;
- Decoding;
- Error Detection Codes;
- Information Theory;
- Linear Transformations;
- Probability Theory;
- Communications and Radar