86 citations · 421 across the 84 of their papers we have counts for
4 papers · 2 filters
Three-weight codes over rings and strongly walk regular graphs
Michael Kiermaier, Sascha Kurz, Minjia Shi +1
We construct strongly walk-regular graphs as coset graphs of the duals of codes with three non-zero homogeneous weights over for a prime, and more generally…
On the number of resolvable Steiner triple systems of small 3-rank
Minjia Shi, Li Xu, Denis S. Krotov
In a recent work, Jungnickel, Magliveras, Tonchev, and Wassermann derived an overexponential lower bound on the number of nonisomorphic resolvable Steiner triple systems (STS) of o…
Sufficient conditions for STS of 3-rank to be resolvable
Yaqi Lu, Minjia Shi
Based on the structure of non-full--rank and the orthogonal Latin squares, we mainly give sufficient conditions for of -rank to be resolvab…
The Steiner triple systems of order 21 with a transversal subdesign TD(3,6)
Yue Guan, Minjia Shi, Denis S. Krotov
We prove several structural properties of Steiner triple systems (STS) of order 3w+3 that include one or more transversal subdesigns TD(3,w). Using an exhaustive search, we find th…