The possible support sizes for BIB designs with ν = 8 and k = 4

  • Hedayat, A
  • Stufken, J
  • Landgev, I.N
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Publication date
July 1989
Publisher
Published by Elsevier Inc.

Abstract

AbstractHedayat and Hwang (J. Combin. Theory Ser. A, 36 (1984), 163–173) studied the support sizes for BIB designs with ν = 8 and k = 4. They established the existence or nonexistence for all possible support sizes, with the exceptions of 15, 16, 17, and 19. We will show that there are no such BIB designs with support sizes 15 and 16, while there are designs with support sizes 17 and 19. These latter designs require at least 42 blocks. In addition, we will provide an answer to their question on self-complementary designs

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