Back to Search
Start Over
New constructions of self-dual codes via twisted generalized Reed-Solomon codes.
- Source :
- Cryptography & Communications; Sep2023, Vol. 15 Issue 5, p959-978, 20p
- Publication Year :
- 2023
-
Abstract
- In this paper, we give a sufficient and necessary condition that a twisted Reed-Solomon (TRS) code is MDS. Then we give a sufficient and necessary condition that a twisted generalized Reed-Solomon (TGRS) code is self-dual. Moreover, we present some new explicit constructions of self-dual TGRS codes. These self-dual TGRS codes are MDS, Near-MDS, or 2-MDS and most of them are non-GRS. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 19362447
- Volume :
- 15
- Issue :
- 5
- Database :
- Complementary Index
- Journal :
- Cryptography & Communications
- Publication Type :
- Academic Journal
- Accession number :
- 171898169
- Full Text :
- https://doi.org/10.1007/s12095-023-00644-4