Title :
MDS self-dual codes
Author :
Kim, Jon-Lark ; Lee, Yoonjin
Author_Institution :
Dept. of Math., Nebraska-Lincoln Univ., Lincoln, NE, USA
fDate :
27 June-2 July 2004
Abstract :
In this paper we develop a complete generalization of the building-up method [J.-L. Kim, (2001)] for the Euclidean and Hermitian self-dual codes over finite fields GF(q). Using this method we construct many new Euclidean and Hermitian self-dual MDS (or near MDS) codes of length up to 12 over various finite fields GF(q), where q=8, 9, 16, 25, 32, 41, 49, 53, 64, 81, and 128.
Keywords :
Galois fields; Hermitian matrices; dual codes; Euclidean-Hermitian codes; MDS self-dual codes; building-up method; finite fields; Code standards; Educational institutions; Electronic mail; Galois fields; Mathematics;
Conference_Titel :
Information Theory, 2004. ISIT 2004. Proceedings. International Symposium on
Print_ISBN :
0-7803-8280-3
DOI :
10.1109/ISIT.2004.1365563
