Shaofang Hong

activity

20082026

most citedOn deep holes of standard Reed-Solomon codes

22 citations · 137 across the 47 of their papers we have counts for

collaborators

Showing 2021Show all

4 papers · 1 filter

math.NT2021

On the sums of squares of exceptional units in residue class rings

Yulu Feng, Shaofang Hong

Let $n \geq 1, e \geq 1, k \geq 2$ and $c$ be integers. An integer $u$ is called a unit in the ring $Z_{n}$ of residue classes modulo $n$ if $g cd (u, n) = 1$ . A unit $u$ is called a…

math.NT2021

On the number of zeros to the equation $f (x_{1}) + ... + f (x_{n}) = a$ over finite fields

Chaoxi Zhu, Yulu Feng, Shaofang Hong +1

Let $p$ be a prime, $k$ a positive integer and let $F_{q}$ be the finite field of $q = p^{k}$ elements. Let $f (x)$ be a polynomial over $F_{q}$ and $a \in F_{q}$ . We d…

math.NT2021

On the number of zeros of diagonal quartic forms over finite fields

Junyong Zhao, Yulu Feng, Shaofang Hong +1

Let $F_{q}$ be the finite field of $q = p^{m} \equiv 1 (mod 4)$ elements with $p$ being an odd prime and $m$ being a positive integer. For $c, y \in F_{q}$ with $y\in\mathbb…

math.NT2021★ 4 cited

Sums of polynomial-type exceptional units modulo $n$

Junyong Zhao, Shaofang Hong, Chaoxi Zhu

Let $f (x) \in Z [x]$ be a nonconstant polynomial. Let $n, k$ and $c$ be integers such that $n \geq 1$ and $k \geq 2$ . An integer $a$ is called an $f$ -exunit in the ring $\mathbb{…

On the sums of squares of exceptional units in residue class rings

On the number of zeros to the equation f(x1​)+...+f(xn​)=a over finite fields

On the number of zeros of diagonal quartic forms over finite fields

Sums of polynomial-type exceptional units modulo n

On the number of zeros to the equation $f (x_{1}) + ... + f (x_{n}) = a$ over finite fields

Sums of polynomial-type exceptional units modulo $n$