New Optimal Self-Dual Codes over GF(7) |
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| Authors: | T Aaron Gulliver Masaaki Harada |
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| Institution: | (1) Department of Electrical and Electronic Engineering, University of Canterbury, Private Bag 4800, Christchurch, New Zealand, NZ;(2) Department of Mathematics, Okayama University, Okayama 700, Japan, JP |
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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.
Received: June 24, 1996 / Revised: February 28, 1997 |
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