Title :
New self-dual codes over GF(4) with the highest known minimum weights
Author_Institution :
Dept. of Math. Stat. & Comput. Sci., Illinois Univ., Chicago, IL, USA
fDate :
5/1/2001 12:00:00 AM
Abstract :
The purpose of this correspondence is to construct new Hermitian self-dual codes over GF(4) of lengths 22, 24, 26, 32, and 34 which have the highest known minimum weights. In particular, for length 22, we construct eight 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 has been left open since 1991 by Huffman
Keywords :
Galois fields; Hermitian matrices; dual codes; GF(4); Hermitian self-dual codes; extremal self-dual codes; highest known minimum weights; nontrivial automorphism; weight enumerators; Codes; Computer science; Mathematics; Statistics;
Journal_Title :
Information Theory, IEEE Transactions on
