33 citations · 35 across the 8 of their papers we have counts for
8 papers
Singular Cholesky Fibers over Finite Fields
Hongfeng Wu, Kai Zhou
For a finite field $\F_q$, consider the triangular Cholesky map from upper triangular matrices to symmetric matrices. Generalized Cholesky theory describes the re…
A New Characteristic-Uniform Model for Elliptic Curves -- Theory, Arithmetic, and Applications
Hongfeng Wu
We develop a characteristic-uniform arithmetic theory for \[ \mathcal C_d:\quad (u^2+u)(v^2+v)=d. \] For \(d(1-16d)\ne0\), its smooth \((2,2)\)-completion has four rational boundar…
First Subconstituents of Orthogonal Graphs in Even Characteristic:Automorphisms, Cliques, Cores, and Binary Triple Transitivity
Kai Zhou, Hongfeng Wu
In even characteristic, the first subconstituent of an orthogonal graph at a singular point is shown to be the complement of an affine polar graph. This identification yields the f…
Generalized Hamming weights of three classes of linear codes
Gaopeng Jian
The generalized Hamming weights of a linear code have been extensively studied since Wei first use them to characterize the cryptography performance of a linear code over the wire-…
A mean value formula for elliptic curves
Rongquan Feng, Hongfeng Wu
It is proved in this paper that for any point on an elliptic curve, the mean value of x-coordinates of its n-division points is the same as its x-coordinate and that of y-coordinat…
On the Construction of Finite Oscillator Dictionary
Rongquan Feng, Zhenhua Gu, Zilong Wang +2
A finite oscillator dictionary which has important applications in sequences designs and the compressive sensing was introduced by Gurevich, Hadani and Sochen. In this paper, we fi…