64 citations · 258 across the 71 of their papers we have counts for
5 papers · 1 filter
Maximal arcs and extended cyclic codes
Stefaan De Winter, Cunsheng Ding, Vladimir D. Tonchev
It is proved that for every such that divides , where is a power of 2, there exists a Denniston maximal arc of degree in $\PG(2,q)$, being invariant…
Infinite families of 2-designs from GA_1(q) actions
Hao Liu, Cunsheng Ding
Group action is a standard approach to obtain -designs. In this approach, selecting a specific permutation group with a certain degree of transitivity or homogeneity and a prope…
A spectral characterisation of t-designs and its applications
Eun-Kyung Cho, Cunsheng Ding, Jong Yoon Hyun
There are two standard approaches to the construction of -designs. The first one is based on permutation group actions on certain base blocks. The second one is based on coding…
All binary linear codes that are invariant under $\PSL_2(n)$
Cunsheng Ding, Hao Liu, Vladimir D. Tonchev
The projective special linear group $\PSL_2(n)$ is -transitive for all primes and -homogeneous for on the set . It is…
An infinite family of Steiner systems from cyclic codes
Cunsheng Ding
Steiner systems are a fascinating topic of combinatorics. The most studied Steiner systems are (Steiner triple systems), (Steiner quadruple systems), and…