AbstractIt has been known for some time that an S3(3, 4, υ) exists iff υ is even. The constructions which prove this result, in general, give designs having repeated blocks. Recently, it was shown that a simple S3(3, 4, υ) exists if υ is even and υ ≢ 4 (mod 12). In this paper we give an elementary proof of the existence of simple S3(3, 4, υ)s for all even υ, υ > 4
AbstractThe necessary condition of 2 (mod 3) is sufficient for the existence of a 2-design S2(2,3,v)...
AbstractLet D denote any balanced ternary design on v elements with block size three, index two, and...
The necessary condition v≡1 (mod 2) is sufficient for the existence of a 2-design S3(2,3,v) without ...
AbstractIt has been known for some time that an S3(3, 4, υ) exists iff υ is even. The constructions ...
AbstractWe study a method of Lonz and Vanstone which constructs an S3(3, 4, 2n) from any given 1-fac...
AbstractWe prove that there exists an Sλ(2, 3, v) without repeated blocks if and only if λ⩽v−2, λυ(υ...
AbstractIn this paper, the necessary and sufficient condition for the existence of a 1-rotational Sλ...
AbstractLet S′ be a simple S′λ(t, k, l) containing b′blocks and let S be a, not necessarily simple, ...
AbstractDenote R(v) be the set of k such that there is a S3(2, 3, v) having exactly k three-times re...
AbstractWe prove that there exists an Sλ(2, 3, v) without repeated blocks if and only if λ⩽v−2, λυ(υ...
AbstractLet C(v) denote the least number of quintuples of a v-set V with the property that every pai...
We prove that the necessary conditions for the existence of cyclic block designs with block size 3 a...
We prove that there exists an Sλ(2, 3, v) without repeated blocks if and only if λ≤v-2, λυ(υ-1)=0 (m...
AbstractDirect, easy, and self-contained proofs are presented of the existence of triple systems wit...
AbstractIt is proved that balanced 3-designs B3[k, λ, v] exist for k = 5, λ = 30 and every v ⩾ 5
AbstractThe necessary condition of 2 (mod 3) is sufficient for the existence of a 2-design S2(2,3,v)...
AbstractLet D denote any balanced ternary design on v elements with block size three, index two, and...
The necessary condition v≡1 (mod 2) is sufficient for the existence of a 2-design S3(2,3,v) without ...
AbstractIt has been known for some time that an S3(3, 4, υ) exists iff υ is even. The constructions ...
AbstractWe study a method of Lonz and Vanstone which constructs an S3(3, 4, 2n) from any given 1-fac...
AbstractWe prove that there exists an Sλ(2, 3, v) without repeated blocks if and only if λ⩽v−2, λυ(υ...
AbstractIn this paper, the necessary and sufficient condition for the existence of a 1-rotational Sλ...
AbstractLet S′ be a simple S′λ(t, k, l) containing b′blocks and let S be a, not necessarily simple, ...
AbstractDenote R(v) be the set of k such that there is a S3(2, 3, v) having exactly k three-times re...
AbstractWe prove that there exists an Sλ(2, 3, v) without repeated blocks if and only if λ⩽v−2, λυ(υ...
AbstractLet C(v) denote the least number of quintuples of a v-set V with the property that every pai...
We prove that the necessary conditions for the existence of cyclic block designs with block size 3 a...
We prove that there exists an Sλ(2, 3, v) without repeated blocks if and only if λ≤v-2, λυ(υ-1)=0 (m...
AbstractDirect, easy, and self-contained proofs are presented of the existence of triple systems wit...
AbstractIt is proved that balanced 3-designs B3[k, λ, v] exist for k = 5, λ = 30 and every v ⩾ 5
AbstractThe necessary condition of 2 (mod 3) is sufficient for the existence of a 2-design S2(2,3,v)...
AbstractLet D denote any balanced ternary design on v elements with block size three, index two, and...
The necessary condition v≡1 (mod 2) is sufficient for the existence of a 2-design S3(2,3,v) without ...
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