In this paper, double circulant self-dual codes over GF(7) are presented, including [12, 6, 6] codes which are new optimal codes. It is shown that the supports of the codewords of weights 9, 10 and 11 in double circulant [20, 10, 9] codes form 3-designs. For larger lengths, some good self-dual codes are constructed from weighing matrices.
ASJC Scopus subject areas
- Theoretical Computer Science
- Discrete Mathematics and Combinatorics