Title :
Experimental construction of self-dual codes over GF(3) and GF(4)
Author :
Gaborit, Philippe ; Otmani, Ayoub
Author_Institution :
LACO, Limoges Univ., France
Abstract :
We give a general experimental method generalizing codes to construct self-dual codes. We only consider here the fields GF(3) and GF(4) (Hermitian case). We construct in particular the first [52, 26, 15] and [76, 38, 18] self-dual ternary codes.
Keywords :
Galois fields; Hermitian matrices; dual codes; ternary codes; GF(3); GF(4); Hermitian codes; experimental construction; self-dual codes; ternary codes; Symmetric matrices; Turbo codes;
Conference_Titel :
Information Theory, 2002. Proceedings. 2002 IEEE International Symposium on
Print_ISBN :
0-7803-7501-7
DOI :
10.1109/ISIT.2002.1023731
