Citation
Abstract
Reed-Solomon (RS) codes have been part of standard NASA telecommunications systems for many years. RS codes are character-oriented error-correcting codes, and their principal use in space applications has been as outer codes in concatenated coding systems [6, Section 5.4.4]. However, for a given character size, say m bits, RS codes are limited to a length of, at most, 2™. It is known in theory that longer character-oriented codes would be superior to RS codes in concatenation applications, but until recently no practical class of “long” character-oriented codes had been discovered. In 1992, however, Solomon [4,5], discovered an extensive class In this article, we will continue the study of TSRS codes. Our main result is a formula for the dimension of any TSRS code, as a function of its error-correcting power. Using this formula, we will give several examples of TSRS codes, some of which look very promising as candidate outer codes in high-performance coded telecommunications systems.
Details
- Volume
- 42-117
- Published
- May 15, 1994
- Pages
- 119–128
- File Size
- 517.3 KB