1. Dihedral Group Codes Over Finite Fields.
- Author
-
Fan, Yun and Lin, Liren
- Subjects
- *
FINITE fields , *LIQUID crystal displays , *BINARY codes - Abstract
Bazzi and Mitter showed that binary dihedral group codes are asymptotically good. In this paper we prove that the dihedral group codes over any finite field with strong duality property are asymptotically good. If the characteristic of the field is even, self-dual dihedral group codes are asymptotically good. If the characteristic of the field is odd, maximal self-orthogonal dihedral group codes and LCD dihedral group codes are asymptotically good. [ABSTRACT FROM AUTHOR]
- Published
- 2021
- Full Text
- View/download PDF