Title :
Self-dual codes using the building-up construction
Author :
Kim, Jon-Lark ; Lee, Yoonjin
Author_Institution :
Dept. of Math., Univ. of Louisville, Louisville, KY, USA
fDate :
June 28 2009-July 3 2009
Abstract :
The building-up construction for self-dual codes was developed by the authors over finite fields GF(q) when q is a power of 2 or q ¿ 1 (mod 4). In this paper, we complete the building-up construction for self-dual codes over GF(q) with q ¿ 3 (mod 4). For example, we construct new 945 extremal self-dual ternary [32, 16, 9] codes, each of which has a trivial automorphism group.
Keywords :
computational complexity; dual codes; building-up construction; self-dual codes; trivial automorphism group; Code standards; Error correction; Error correction codes; Galois fields; Lattices; Mathematics; Power generation;
Conference_Titel :
Information Theory, 2009. ISIT 2009. IEEE International Symposium on
Conference_Location :
Seoul
Print_ISBN :
978-1-4244-4312-3
Electronic_ISBN :
978-1-4244-4313-0
DOI :
10.1109/ISIT.2009.5206010
