AbstractIn this paper, the necessary and sufficient condition for the existence of a 1-rotational Sλ (2, 3, ν) design is obtained, and it is shown that an Sλ (2, 3, ν) design, if it exists, can be always constructed cyclically
AbstractA Steiner 2-design is 1-rotational over a groupGif it admitsGas an automorphism group fixing...
AbstractLet k, λ, and υ be positive integers. A perfect cyclic design in the class PD(υ, k, λ) consi...
AbstractA Steiner triple system S(v) of order v is said to be k-rotational if it admits an automorph...
AbstractIn this paper, the necessary and sufficient condition for the existence of a 1-rotational Sλ...
We prove that the necessary conditions for the existence of cyclic block designs with block size 3 a...
It is reasonable to conjecture that a 1-rotational ${\rm KTS}(2v+1)$ exists for any admissible $v$, ...
AbstractA CB(v,k,λ) means a cyclic 2-design of block size k coincidence number λ, and with v points....
AbstractThe solution to a set theory exercise, “Partition the set of positive integers {1,2,…,v} int...
AbstractIn this paper interesting families of designs are constructed and studied. First, a family o...
AbstractWe prove that there exists an Sλ(2, 3, v) without repeated blocks if and only if λ⩽v−2, λυ(υ...
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 ...
AbstractA cyclic 5-(13, 6, 4) design is constructed and is extended to a simple 6-(14, 7, 4) design ...
Even though Peltesohn proved that a cyclic (v,3,1)-design exists if and only if $v\equiv 1,3\pmod{6}...
AbstractIt is proved that balanced 3-designs B3[k, λ, v] exist for k = 5, λ = 30 and every v ⩾ 5
AbstractA Steiner 2-design is 1-rotational over a groupGif it admitsGas an automorphism group fixing...
AbstractLet k, λ, and υ be positive integers. A perfect cyclic design in the class PD(υ, k, λ) consi...
AbstractA Steiner triple system S(v) of order v is said to be k-rotational if it admits an automorph...
AbstractIn this paper, the necessary and sufficient condition for the existence of a 1-rotational Sλ...
We prove that the necessary conditions for the existence of cyclic block designs with block size 3 a...
It is reasonable to conjecture that a 1-rotational ${\rm KTS}(2v+1)$ exists for any admissible $v$, ...
AbstractA CB(v,k,λ) means a cyclic 2-design of block size k coincidence number λ, and with v points....
AbstractThe solution to a set theory exercise, “Partition the set of positive integers {1,2,…,v} int...
AbstractIn this paper interesting families of designs are constructed and studied. First, a family o...
AbstractWe prove that there exists an Sλ(2, 3, v) without repeated blocks if and only if λ⩽v−2, λυ(υ...
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 ...
AbstractA cyclic 5-(13, 6, 4) design is constructed and is extended to a simple 6-(14, 7, 4) design ...
Even though Peltesohn proved that a cyclic (v,3,1)-design exists if and only if $v\equiv 1,3\pmod{6}...
AbstractIt is proved that balanced 3-designs B3[k, λ, v] exist for k = 5, λ = 30 and every v ⩾ 5
AbstractA Steiner 2-design is 1-rotational over a groupGif it admitsGas an automorphism group fixing...
AbstractLet k, λ, and υ be positive integers. A perfect cyclic design in the class PD(υ, k, λ) consi...
AbstractA Steiner triple system S(v) of order v is said to be k-rotational if it admits an automorph...
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