Abstract.
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.
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Received: June 24, 1996 / Revised: February 28, 1997
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Gulliver, T., Harada, M. New Optimal Self-Dual Codes over GF(7). Graphs Comb 15, 175–186 (1999). https://doi.org/10.1007/s003730050038
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DOI: https://doi.org/10.1007/s003730050038