3 papers
math.NT2026
On Consecutive Non-primitive Elements over Finite Fields
Bidushi Sharma, Dhiren Kumar Basnet
In this article, we establish a bound on that guarantees the existence of a pair of consecutive non-primitive elements in , with the exceptions and .…
math.NT2026
On some Non-Permutations of Quadratic Extension of Finite Field
Bidushi Sharma, Dhiren Kumar Basnet
In this article, we study polynomials over that do not permute . More precisely, we characterize polynomials of the forms $x^q + b x^2 + c x +…
math.NT2024
Construction of Permutation Polynomials over Finite Fields with the help of SCR polynomials
Bidushi Sharma, Dhiren Kumar Basnet
In this paper we take a deeper look at the self conjugate reciprocal (SCR) polynomials, which towards the end of the paper aid the construction of new classes of permutation polyno…