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-Degree Erdős-Ko-Rado theorem for finite vector spaces
Yunjing Shan, Junling Zhou
Let be an -dimensional vector space over the finite field and let denote the family of all -dimensional subspaces of . A fam…
On cover-free families of finite vector spaces
Yunjing Shan, Junling Zhou
There is a large literature on cover-free families of finite sets, because of their many applications in combinatorial group testing, cryptographic and communications. This work st…
Suboptimal -union familes and -union antichains for vector spaces
Yunjing Shan, Junling Zhou
Let be an -dimensional vector space over the finite field , and let be the set of all subspaces…
A Pair of Disjoint 3-GDDs of type g^t u^1
Yanxun Chang, Yeow Meng Chee, Junling Zhou
Pairwise disjoint 3-GDDs can be used to construct some optimal constant-weight codes. We study the existence of a pair of disjoint 3-GDDs of type and establish that its n…