New good Hermitian self-dual codes over GF(4)
J.-L. Kim · 2002
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.