On ternary designs with a specified number of blocks with repeated elements

نویسندگان

  • Thomas Kunkle
  • Dinesh G. Sarvate
چکیده

The blocks of a balanced ternary design, BTD(V,B; ρ1, ρ2, R;K,Λ), can be partitioned into two sets: the b1 blocks that each contain no repeated elements, and the b2 = B − b1 blocks containing repeated elements. In this note, we address, and answer in some particular cases, the following question. For which partitions of the integer B as b1 + b2 does there exist a BTD(V,B; ρ1, ρ2, R;K,Λ)?

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عنوان ژورنال:
  • Ars Comb.

دوره 40  شماره 

صفحات  -

تاریخ انتشار 1995