3 citations · 7 across the 9 of their papers we have counts for
5 papers · 1 filter
Triangle decompositions of PG(n-1,2)
Minjia Shi, Xiaoxiao Li, Denis S. Krotov
We define a triangle design as a partition of the set of lines of a projective space into triangles, where a triangle consists of three pairwise intersecting lines with no common p…
Quasi-cyclic perfect codes in Doob graphs and special partitions of Galois rings
Minjia Shi, Xiaoxiao Li, Denis S. Krotov +1
The Galois ring GR is the residue ring , where is a basic primitive polynomial of degree over . For any odd larger than , we construct…
Designs, permutations, and transitive groups
Minjia Shi, XiaoXiao Li, Patrick Solé
A notion of -designs in the symmetric group on letters was introduced by Godsil in 1988. In particular -transitive sets of permutations form a -design. We derive speci…
Zero sum sets in abelian groups
Minjia Shi, Denis S. Krotov, Xiaoxiao Li +1
The distribution of cardinalities of zero-sum sets in abelian groups is completely determined. A complex summation involving the Möbius function is given for the general abelian gr…
On the number of frequency hypercubes
Minjia Shi, Shukai Wang, Xiaoxiao Li +1
A frequency -cube is an -dimensional -by-...-by- array filled by s and s such that each line contains exactly two s. We classify the frequency …