Abstract: | Let R be a family of k-element blocks of a v-element set V such that any two elements of V are contained in λ blocks of R and R=R1∪…∪Rv?1, Ri∩ Rj=? (i≠j) and ?{Bi∈Rj∣i=1,…,v?k}=V (Bi a block in Rj), i.e. R is a resolvable block design RB(v, k, λ). In this paper it will be shown that a sufficient condition for the existence of an RB(v, 8, 7) is that v≡0 (mod 8) and v is nondivisible by 3, 5, 7. |