Some new results for ternary linear codes of dimension 5 and 6
- 1 January 1995
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Information Theory
- Vol. 41 (6) , 2048-2051
- https://doi.org/10.1109/18.476334
Abstract
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 graphKeywords
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