H. Hazarika

collaborators

3 papers

math.NT2024

Existence of Special Types Primitive Pairs in Finite Fields Avoiding Affine Hyperplanes

Himangshu Hazarika, Giorgos Kapetanakis, Dhiren Kumar Basnet

Let $\Fm$ be finite fields of order $q^{m}$ , where $m \geq 2$ and $q$ , a prime power. Given $\F$-affine hyperplanes $A_{1}, \dots, A_{m}$ of $\Fm$ in general position, we study the existe…

math.NT2024

Primitive normal pairs of elements with one prescribed trace

Arpan Chandra Mazumder, Himangshu Hazarika, Dhiren Kumar Basnet +1

Let $q, n, m \in N$ such that $q$ is a prime power, $m \geq 3$ and $a \in F$ . We establish a sufficient condition for the existence of a primitive normal pair ($Î…

math.NT2024

On existence of primitive normal elements of rational form over finite fields of even characteristic

Himangshu Hazarika, Dhiren Kumar Basnet, Giorgos Kapetanakis

Let $q$ be an even prime power and $m \geq 2$ an integer. By $F_{q}$ , we denote the finite field of order $q$ and by $F_{q^{m}}$ its extension degree $m$ . In this paper…