86 citations · 421 across the 84 of their papers we have counts for
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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…
Two-weight codes over the integers modulo a prime power
Minjia Shi, Tor Helleseth, Patrick Sole
Let be a prime number. Irreducible cyclic codes of length and dimension over the integers modulo are shown to have exactly two nonzero Hamming weights. The co…
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…