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Ars Combinatoria

  • Research article

The Fine Structure of Balanced Ternary Designs with Block Size Three, Index Three and \(\rho_2 = 1,2\)

Peter Adams1, Darryn E. Bryant1, A. Khodkar1
1Centre for Discrete Mathematics and Computing Department of Mathematics The University of Queensland Queensland 4072 Australia
  • Published: 31/07/2000

Abstract

In this paper, necessary and sufficient conditions for a vector to be the fine structure of a balanced ternary design with block size \(3\), index \(3\) and \(\rho_2 = 1\) and \(2\) are determined, with one unresolved case.

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Citation
Peter Adams, Darryn E. Bryant, A. Khodkar. The Fine Structure of Balanced Ternary Designs with Block Size Three, Index Three and \(\rho_2 = 1,2\)[J], Ars Combinatoria, Volume 056. 299-308. DOI: .