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math.NT2024
On -primitive -normal polynomials with two prescribed coefficients
Avnish K. Sharma, Mamta Rani, Sharwan K. Tiwari +1
This article investigates the existence of an -primitive -normal polynomial, defined as the minimal polynomial of an -primitive -normal element in , w…
math.NT2022
Inverses of -primitive -normal elements over finite fields
Mamta Rani, Avnish K. Sharma, Sharwan K. Tiwari +1
Let , be positive integers, be a non-negative integer and be any prime power such that An element of the finite field is called…
math.NT2021
Primitive Normal Values of Rational Functions over Finite Fields
Avnish K. Sharma, Mamta Rani, Sharwan K. Tiwari
In this paper, we consider rational functions with some minor restrictions over the finite field where for some prime and positive integer .…