On self-dual MDS codes
Markus Grassl, Thomas Aaron Gulliver · 2008
We consider the problem for which lengths a self-dual MDS code over Fqexists.We show that for q = 2m, there are self-dual MDS codes for all even lengths up to 2m. Furthermore, self-dual MDS codes of length q + 1 over Fqexist for all odd prime powers q. Additionally, we present some new self-dual MDS codes.