Truncated Transversal Designs: A New Lower Bound on the Number of Idempotent MOLS of Side n
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A truncated transversal design TTD of type gkm1 is a {k,k+1}-GDD of type gkm1 in which each point on the group of size m lies only in blocks of size k+1. Thus a TTD of type gkm1 is equivalent to a transversal design TD (k,g) having m disjoint parallel classes of blocks. We employ a new construction developed by the author (1993, J. Combin. Des.1, 15?26) to show that if g1
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