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.
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. .