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New Optimal Self-Dual Codes over GF(7)

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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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Authors and Affiliations

  1. Department of Electrical and Electronic Engineering, University of Canterbury, Private Bag 4800, Christchurch, New Zealand, , , , , , NZ

    T. Aaron Gulliver

  2. Department of Mathematics, Okayama University, Okayama 700, Japan, , , , , , JP

    Masaaki Harada

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  1. T. Aaron Gulliver
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  2. Masaaki Harada
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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

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