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Some new results for ternary linear codes of dimension 5 and 6

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1 Author(s)
van Eupen, M. ; Dept. of Math. & Comput. Sci., Eindhoven Univ. of Technol., Netherlands

It is proved that ternary codes with parameters [40,5,25] and [148,5,98] do not exist. A new ternary code is constructed with parameters [47.5,30]. The results solve the problem of finding the smallest n for which a ternary [n, 5, d] code exists for d=25; 29, 30, and 98. Several new ternary linear codes of dimension 6 are found, including one two-weight code giving rise to a new strongly regular graph

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Information Theory, IEEE Transactions on  (Volume:41 ,  Issue: 6 )