Kaimin Cheng

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20242026

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math.NT2024

The inverse stability of Artin-Schreier polynomials over finite fields

Kaimin Cheng

Let $p$ be a prime number and $q$ a power of $p$ . Let $F_{q}$ be the finite field with $q$ elements. For a positive integer $n$ and a polynomial $φ (X) \in F_{q} [X]$ , le…

cs.CR2024

A class of ternary codes with few weights

Kaimin Cheng

Let $ℓ^{m}$ be a power with $ℓ$ a prime greater than $3$ and $m$ a positive integer such that $3$ is a primitive root modulo $2 ℓ^{m}$ . Let $F_{3}$ be the finite field o…

math.NT2024

On binomial Weil sums and an application

Kaimin Cheng, Shuhong Gao

Let $p$ be a prime, and $N$ be a positive integer not divisible by $p$ . Denote by $ord_{N} (p)$ the multiplicative order of $p$ modulo $N$ . Let $F_{q}$ represent the fini…