Aakash Choudhary

collaborators

4 papers

math.NT2026

The trace distribution of $r$ -primitive $k$ -normal elements of finite fields

Aakash Choudhary, Supriya Pisolkar

Let $q=p^e$ be a prime power and $n\geq1$. Let $L=\F_{q^n}$ and $K=\F_q$. We study the trace distribution of $r$-primitive $k$-normal elements of $L$ over $K$. We f…

math.NT2026

Power Integral Bases in Polynomial Compositions

Aakash Choudhary, Supriya Pisolkar, Prabhakar Yadav

In this paper, we study the monogeneity of a special class of composed polynomials of the form $(f \circ g) (x) = (x^{m} + c)^{n} + a (x^{m} + c)^{n - 1} + d (x^{m} + c)^{n - 2} + b,$ where \( f…

math.NT2023

On pairs of $r$ -primitive and $k$ -normal elements with prescribed traces over finite fields

Aakash Choudhary, R. K. Sharma

Given $F_{q^{n}}$ , a field with $q^{n}$ elements, where $q$ is a prime power and $n$ is positive integer. For $r_{1}, r_{2}, m_{1}, m_{2} \in N$ , $k_1,k_2 \in \mathbb{N}\cup…

math.NT2023

Existence of primitive pairs with two prescribed traces over finite fields

Aakash Choudhary, R. K. Sharma

Given $F = F_{p^{t}}$ , a field with $p^{t}$ elements, where $p$ is a prime power, $t \geq 7$ , $n$ are positive integers and $f = f_{1} / f_{2}$ is a rational function, where $f_1, f_…

The trace distribution of r-primitive k-normal elements of finite fields

Power Integral Bases in Polynomial Compositions

On pairs of r-primitive and k-normal elements with prescribed traces over finite fields

Existence of primitive pairs with two prescribed traces over finite fields

The trace distribution of $r$ -primitive $k$ -normal elements of finite fields

On pairs of $r$ -primitive and $k$ -normal elements with prescribed traces over finite fields