On the isomorphism classes of Legendre elliptic curves over finite fields

Rongquan Feng, Hongfeng Wu

A New Characteristic-Uniform Model for Elliptic Curves -- Theory, Arithmetic, and Applications

Hongfeng Wu

Cyclotomic System and their Arithmetic

Li Zhu, Jinle Liu, Hongfeng Wu

On the Construction of Finite Oscillator Dictionary

Rongquan Feng, Zhenhua Gu, Zilong Wang +2

A mean value formula for elliptic curves

Rongquan Feng, Hongfeng Wu

Number of general Jacobi quartic curves over finite fields

Rongquan Feng, Hongfeng Wu

The Multiple Equal-Difference Structure of Cyclotomic Cosets

Li Zhu, Juncheng Zhou, Jinle Liu +1

Consecutive non-square non-primitive tuples in finite fields

Juncheng Zhou, Hongfeng Wu

The Arithmetic Singleton Bound on the Hamming Distances of Simple-rooted Constacyclic Codes over Finite Fields

Li Zhu, Hongfeng Wu

On binomial order and primitivity of irreducible quadratic polynomials over finite fields

Li Zhu, Hongfeng Wu

The Minimal Binomial Multiples of Polynomials over Finite Fields

Li Zhu, Hongfeng Wu

BCH and LCD cyclic codes of length $n=\hat{I}»(q^m+1)$ over finite fields

Jinle Liu, Hongfeng Wu, Li Zhu

On the Gow--McGuire Conjecture for Primitive Quadratic Polynomials

Juncheng Zhou, Hongfeng Wu

The paper proves the Gow–McGuire conjecture on primitive quadratic polynomials over finite fields for all odd prime powers greater than 204,931, using character-sum estimates, refi…

Finite fields whose members are the sum of a potent and a 5-potent

Juncheng Zhou, Peter V. Danchev, Hongfeng Wu

Cyclotomy, cyclotomic cosets and arithmetic properties of some families in $\frac{{\mathbb{F}}_l[x]}{⟨x^{p^s{q}^t}-1⟩}$

Juncheng Zhou, Hongfeng Wu

Explicit Representatives and Sizes of Cyclotomic Cosets and their Application to Cyclic Codes over Finite Fields

Li Zhu, Jinle Liu, Hongfeng Wu