1 citations · 1 across the 7 of their papers we have counts for
7 papers
On quadratic binomial vectorial functions with maximal bent components
Xianhong Xie, Yi Ouyang, Shenxing Zhang
Assume and let be a binomial vectorial function over $\F_{2^n}$ possessing the maximal number (i.e. ) of bent components. Suppose the $…
A Construction of Evolving -threshold Secret Sharing Scheme over A Polynomial Ring
Qi Cheng, Hongru Cao, Sian-Jheng Lin +1
The threshold secret sharing scheme allows the dealer to distribute the share to every participant such that the secret is correctly recovered from a certain amount of shares. The…
On vectorial functions with maximal number of bent components
Xianhong Xie, Yi Ouyang
We study vectorial functions with maximal number of bent components in this paper. We first study the Walsh transform and nonlinearity of $F(x)=x^{2^e}h(\Tr_{2^{2m}/2^m}(x))$, wher…
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…
Linear complexity of generalized cyclotomic sequences of period
Yi Ouyang, Xianhong Xie
In this paper, we construct two generalized cyclotomic binary sequences of period based on the generalized cyclotomy and compute their linear complexity, showing that they…
A Class of Two-Weight and Three-Weight Linear Codes and Their Duals
Li Liu, Xianhong Xie, Lanqiang Li
The objective of this paper is to construct a class of linear codes with two nonzero weights and three nonzero weights by using the general trace functions, which weight distributi…