In this paper we develop a complete generalization of the building-up method 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.
|Number of pages||1|
|Journal||IEEE International Symposium on Information Theory - Proceedings|
|State||Published - 2004|
|Event||Proceedings - 2004 IEEE International Symposium on Information Theory - Chicago, IL, United States|
Duration: 27 Jun 2004 → 2 Jul 2004