In this note, we give a method to construct binary self-dual codes using weighing matrices. By this method, we construct extremal self-dual codes obtained from weighing matrices. In particular, the extended Golay code and new extremal singly-even codes of length 40 are constructed from certain weighing matrices. We also get necessary conditions for the existence of some weighing matrices.
|出版ステータス||Published - 1997 12月 1|
ASJC Scopus subject areas
- 数学 (全般)