32 citations · 121 across the 40 of their papers we have counts for
6 papers · 1 filter
On homogeneous planar functions
Tao Feng
Let be an odd prime and $\F_q$ be the finite field with elements. A planar function $f:\F_q\rightarrow\F_q$ is called homogenous if for all $λ\in\F_p$ a…
Some New Results on the Cross Correlation of -sequences
Tao Zhang, Shuxing Li, Tao Feng +1
The determination of the cross correlation between an -sequence and its decimated sequence has been a long-standing research problem. Considering a ternary -sequence of perio…
Nonsymmetric primitive translation schemes on prime power number of vertices
Tao Feng, Koji Momihara
It is well-known that translation schemes on prime number of vertices are exactly the cyclotomic schemes. In this current paper, we show that there are no nonsymmetric primitive tr…
New pseudo-planar binomials in characteristic two and related schemes
Sihuang Hu, Shuxing Li, Tao Zhang +2
Planar functions in odd characteristic were introduced by Dembowski and Ostrom in order to construct finite projective planes in 1968. They were also used in the constructions of D…
Difference Sets with Few Character Values
Tao Feng, Sihuang Hu, Shuxing Li +1
The known families of difference sets can be subdivided into three classes: difference sets with Singer parameters, cyclotomic difference sets, and difference sets with gcd$(v,n)>1…
Binary Cyclic codes with two primitive nonzeros
Tao Feng, Ka Hin Leung, Qing Xiang
In this paper, we make some progress towards a well-known conjecture on the minimum weights of binary cyclic codes with two primitive nonzeros. We also determine the Walsh spectrum…