H. Sharma

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math.NT2025

Existence of primitive normal pairs over finite fields with prescribed subtrace

K. Chatterjee, G. Kapetanakis, H. Sharma +1

Given positive integers $q, n, m$ and $a \in F_{q}$ , where $q$ is an odd prime power and $n \geq 5$ , we investigate the existence of a primitive normal pair $(I^µ, f (I^µ))$ in $\m…

math.NT2024

A primitive normal pair in a finite field with prescribed traces and norms

Kaustav Chatterjee, Hariom Sharma, Shailesh Kumar Tiwari

Given $F_{p^{t}}$ , a field with $p^{t}$ elements, where $p$ is a prime power, $t$ is a positive integer. Let $f (x)$ be a polynomial over $F_{p^{t}}$ of degree $m$ wit…