New linear codes over GF(8) |
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| Affiliation: | Department of Electrical and Electronic Engineering University of Canterbury, Christchurch, New Zealand;Department of Electrical and Computer Engineering University of Victoria, P.O. Box 3055, MS 8610, Victoria, BC V8W 3P6, Canada |
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| Abstract: | Let [n, k, d; q]-codes be linear codes of length n, dimension k and minimum Hamming distance d over GF(q). Let d8(n, k) be the maximum possible minimum Hamming distance of a linear [n, k, d; 8]-code for given values of n and k. In this paper, eighteen new linear codes over GF(8) are constructed which improve the table of d8(n, k) by Brouwer. |
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