The Nonexistence of Ternary [284, 6, 188] Codes |
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| Authors: | Daskalov R Metodieva E |
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| Affiliation: | (1) Department of Mathematics, Technical University of Gabrovo, Bulgaria |
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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 n
q
(k, d) be the smallest value of n for which there exists an n, k, d]
q
code. It is known from 1, 2] that 284  n
3(6, 188) 285 and 285 n
3(6, 189) 286. In this paper, the nonexistence of 284, 6, 188]3 codes is proved, whence we get n
3(6, 188) = 285 and n
3(6, 189) = 286. |
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| Keywords: | |
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