Title :
New good Hermitian self-dual codes over GF(4)
Author_Institution :
Dept. of Math. Stat. & Comput. Sci., Illinois Univ., Chicago, IL, USA
Abstract :
The purpose of this paper is to construct new Hermitian self-dual codes over GF(4) of lengths 22, 24, 26, and 32 which have the highest known minimum weights. In particular, for length 22, we construct 8 new extremal self-dual [22,11,8] codes over GF(4) which do not have a nontrivial automorphism of odd order. The existence of such codes was left open by Huffman (1991) and the 8 codes are the first examples
Keywords :
Galois fields; dual codes; linear codes; matrix algebra; Galois field; Hermitian self-dual codes; code length; generator matrix; linear codes; minimum code weights; Code standards; Computer science; Linear code; Mathematics; Statistics;
Conference_Titel :
Information Theory, 2001. Proceedings. 2001 IEEE International Symposium on
Conference_Location :
Washington, DC
Print_ISBN :
0-7803-7123-2
DOI :
10.1109/ISIT.2001.936040
