5 papers
Large Sets with Multiplicity
Tuvi Etzion, Junling Zhou
Large sets of combinatorial designs has always been a fascinating topic in design theory. These designs form a partition of the whole space into combinatorial designs with the same…
Maximum -cyclic holely group divisible packings with block size three and applications to optical orthogonal codes
Zenghui Fang, Junling Zhou, Lidong Wang
In this paper we investigate combinatorial constructions for -cyclic holely group divisible packings with block size three (briefly by -HGDPs). For any positive integers $u,v…
Wide-Sense 2-Frameproof Codes
Junling Zhou, Wenling Zhou
Various kinds of fingerprinting codes and their related combinatorial structures are extensively studied for protecting copyrighted materials. This paper concentrates on one specia…
An improved Recursive Construction for Disjoint Steiner Quadruple Systems
Tuvi Etzion, Junling Zhou
Let be the number of pairwise disjoint Steiner quadruple systems. A simple counting argument shows that and a set of such systems is called a large set…
New bounds on the maximum size of Sperner partition systems
Yanxun Chang, Charles J. Colbourn, Adam Gowty +2
An -Sperner partition system is a collection of partitions of some -set, each into nonempty classes, such that no class of any partition is a subset of a class of any…