(3,6) GWhD(v)—existence results Original Research Article

Necessary conditions for the existence of (3,6) generalized Whist tournament designs on v players are that v≡0,1 (mod 6). For v=6n+1 it is shown that these designs exist for all n. For v=6n, it is impossible to have a design for n=1, but for n>1 it is shown that designs exist, except possibly for 73 values of n the largest of which is n=199. A solution is also provided for the only unknown (v,6,5) RBIBD, namely, v=174.