Skip to main content
Article thumbnail
Location of Repository

On balanced incomplete-block designs with repeated blocks

By P. Dobcsanyi, Donald A. Preece and L.H. Soicher


Balanced incomplete-block designs (BIBDs) with repeated blocks are studied and constructed. We continue work initiated by van Lint and Ryser in 1972 and pursued by van Lint in 1973. We concentrate on constructing (v, b, r, k, lambda)-BIBDs with repeated blocks, especially those with gcd(b, r, lambda) = 1 and r <= 20. We obtain new bounds for the multiplicity of a block in terms of the parameters of a BIBD, and improvements to these bounds for a resolvable BlBD. This allows us to answer a question of van Lint about the sufficiency of certain conditions for the existence of a BIBD with repeated blocks. (c) 2006 Elsevier Ltd. All rights reserve

Topics: QA
Publisher: Academic Press Ltd Elsevier Science Ltd
Year: 2007
OAI identifier:
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • (external link)
  • (external link)
  • Suggested articles

    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.