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New Results on Self-Dual Generalized Reed-Solomon Codes.
- Source :
-
IEEE Transactions on Information Theory . Nov2021, Vol. 67 Issue 11, p7240-7252. 13p. - Publication Year :
- 2021
-
Abstract
- This paper focuses on constructions of MDS self-dual codes from (extended) generalized Reed-Solomon (GRS) codes. Let $q = r^{2}$ be an odd prime power. We show that, there exists a $q$ -ary self-dual (extended) GRS code for each even length in the range $[{2r,3r-3}]$ , and for each singly even length in the range $[3r-1,4r]$. This extends the only known consecutive range $[2,2r]$ to $[{2,3r-3}]$ for this case. Furthermore, our general constructions provide many MDS self-dual codes with new parameters which, to the best of our knowledge, were not reported before. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00189448
- Volume :
- 67
- Issue :
- 11
- Database :
- Academic Search Index
- Journal :
- IEEE Transactions on Information Theory
- Publication Type :
- Academic Journal
- Accession number :
- 153710499
- Full Text :
- https://doi.org/10.1109/TIT.2021.3096934