Construction of MDS Self-dual Codes over Finite Fields
Abstract
In this paper, we obtain some new results on the existence of MDS self-dual codes utilizing (extended) generalized Reed-Solomon codes over finite fields of odd characteristic. For some fixed $q$, our results can produce more classes of MDS self-dual codes than previous works.
- Publication:
-
arXiv e-prints
- Pub Date:
- July 2018
- DOI:
- 10.48550/arXiv.1807.10625
- arXiv:
- arXiv:1807.10625
- Bibcode:
- 2018arXiv180710625L
- Keywords:
-
- Computer Science - Information Theory