Four nonexistence results for ternary linear codes

It is proved that ternary codes with parameters [15,8,6], [15,9,5], [16,6,8], and [16,7,7] do not exist. This result solves the problem of finding optimal ternary linear codes of length at most 21. A table is given, showing the exact value of d/sub 3/(n,k) for n/spl les/21 with the earliest references.<
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