R. K. Sharma

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math.NT2025

$r$ -primitive $k$ -normal polynomials over finite fields with last two coefficients prescribed

K. Chatterjee, R. K. Sharma, S. K. Tiwari

Let $ξ \in F_{q^{m}}$ be an $r$ -primitive $k$ -normal element over $F_{q}$ , where $q$ is a prime power and $m$ is a positive integer. The minimal polynomial of $ξ$ is re…

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_…

r-primitive k-normal polynomials over finite fields with last two coefficients prescribed

Existence of primitive pairs with two prescribed traces over finite fields

$r$ -primitive $k$ -normal polynomials over finite fields with last two coefficients prescribed