16 citations · 44 across the 11 of their papers we have counts for
6 papers · 1 filter
Two Problems about Monomial Bent Functions
Honggang Hu, Bei Wang, Xianhong Xie +1
In 2008, Langevin and Leander determined the dual function of three classes of monomial bent functions with the help of Stickelberger's theorem: Dillon, Gold and Kasami. In their p…
Construction of three classes of Strictly Optimal Frequency-Hopping Sequence Sets
Yi Ouyang, Xianhong Xie, Honggang Hu +1
In this paper, we construct three classes of strictly optimal frequency-hopping sequence (FHS) sets with respect to partial Hamming correlation and family size. The first class is…
New Classes of Ternary Bent Functions from the Coulter-Matthews Bent Functions
Honggang Hu, Xiaolong Yang, Shaohua Tang
It has been an active research issue for many years to construct new bent functions. For odd with , and , the function $f(x)=Tr(ax^{\fra…
On the Dual of the Coulter-Matthews Bent Functions
Honggang Hu, Qingsheng Zhang, Shuai Shao
For any bent function, it is very interesting to determine its dual function because the dual function is also bent in certain cases. For odd and , it is known th…
Comments on "A New Method to Compute the 2-Adic Complexity of Binary Sequences"
Honggang Hu
We show that there is a very simple approach to determine the 2-adic complexity of periodic binary sequences with ideal two-level autocorrelation. This is the first main result by…
The Proof of Lin's Conjecture via the Decimation-Hadamard Transform
Honggang Hu, Shuai Shao, Guang Gong +1
In 1998, Lin presented a conjecture on a class of ternary sequences with ideal 2-level autocorrelation in his Ph.D thesis. Those sequences have a very simple structure, i.e., their…