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

A. Hedayat, John Stufken, I. N. Landgev

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Hedayat 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.

Original languageEnglish (US)
Pages (from-to)258-267
Number of pages10
JournalJournal of Combinatorial Theory, Series A
Volume51
Issue number2
DOIs
StatePublished - 1989
Externally publishedYes

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BIB Design
Exception
Nonexistence
Design

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics
  • Theoretical Computer Science

Cite this

The possible support sizes for BIB designs with ν = 8 and k = 4. / Hedayat, A.; Stufken, John; Landgev, I. N.

In: Journal of Combinatorial Theory, Series A, Vol. 51, No. 2, 1989, p. 258-267.

Research output: Contribution to journalArticle

Hedayat, A. ; Stufken, John ; Landgev, I. N. / The possible support sizes for BIB designs with ν = 8 and k = 4. In: Journal of Combinatorial Theory, Series A. 1989 ; Vol. 51, No. 2. pp. 258-267.
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