In this paper, we describe two classes of ternary codes, determine their mi
nimum weight and weight distribution, and prove their properties. We also p
resent four classes of 1-designs that are based on the classes of ternary c
odes. One class of codes described here improves the existing class of tern
ary codes described by Ding et al. (IEEE Trans. Inform. Theory 46 (2000)).
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