The possible numbers of distinct blocks in a triple system of order v and index λ are determined for all v and all λ, with four exceptions when v = 14 and one exception when v ≡ 8 (mod 12). The spectrum is determined using a number of general tripling constructions for triple systems.
ASJC Scopus subject areas
- Theoretical Computer Science
- Discrete Mathematics and Combinatorics
- Computational Theory and Mathematics