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Steiner systems S(2, 4, 3^m-1/2) and 2-designs from ternary linear codes of length 3^m-1/2
[article]
2019
arXiv
pre-print
Coding theory and t-designs have close connections and interesting interplay. In this paper, we first introduce a class of ternary linear codes and study their parameters. We then focus on their three-weight subcodes with a special weight distribution. We determine the weight distributions of some shortened codes and punctured codes of these three-weight subcodes. These shortened and punctured codes contain some codes that have the same parameters as the best ternary linear codes known in the
arXiv:1901.09228v2
fatcat:hgp2pq4shfc4hghaqzwqoz3dqu