Výsledky vyhledávání - "Sharma, Avnish K."

Report

On $r$-primitive $k$-normal polynomials with two prescribed coefficients

Autor: Sharma, Avnish K., Rani, Mamta, Tiwari, Sharwan K., Panigrahi, Anupama

This article investigates the existence of an $r$-primitive $k$-normal polynomial, defined as the minimal polynomial of an $r$-primitive $k$-normal element in $\mathbb{F}_{q^n}$, with a specified degree $n$ and two given coefficients over the finite

Externí odkaz: http://arxiv.org/abs/2405.20760

Zobrazit plný text záznamu

Report

Inverses of $r$-primitive $k$-normal elements over finite fields

Autor: Rani, Mamta, Sharma, Avnish K., Tiwari, Sharwan K., Panigrahi, Anupama

Let $r$, $n$ be positive integers, $k$ be a non-negative integer and $q$ be any prime power such that $r\mid q^n-1.$ An element $\alpha$ of the finite field $\mathbb{F}_{q^n}$ is called an {\it $r$-primitive} element, if its multiplicative order is $

Externí odkaz: http://arxiv.org/abs/2201.11334

Zobrazit plný text záznamu

Report

Primitive Normal Values of Rational Functions over Finite Fields

Autor: Sharma, Avnish K., Rani, Mamta, Tiwari, Sharwan K.

In this paper, we consider rational functions $f$ with some minor restrictions over the finite field $\mathbb{F}_{q^n},$ where $q=p^k$ for some prime $p$ and positive integer $k$. We establish a sufficient condition for the existence of a pair $(\alp

Externí odkaz: http://arxiv.org/abs/2112.07410

Zobrazit plný text záznamu