64 citations · 258 across the 71 of their papers we have counts for
7 papers · 1 filter
Permutation trinomials over : a corrected version
Danyao Wu, Pingzhi Yuan, Cunsheng Ding +1
Permutation polynomials are an interesting subject of mathematics and have applications in other areas of mathematics and engineering. In this paper, we determine all permutation t…
Combinatorial -designs from special polynomials
Cunsheng Ding, Chunming Tang
Combinatorial -designs have nice applications in coding theory, finite geometries and several engineering areas. There are two major methods of constructing -designs. One of…
A family of ovoids in PG(3, 2^m) from cyclic codes
Cunsheng Ding
Ovoids in $\PG(3, q)$ have been an interesting topic in coding theory, combinatorics, and finite geometry for a long time. So far only two families are known. The first is the elli…
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…