6 citations · 23 across the 36 of their papers we have counts for
38 papers
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 .…
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 +…
An estimate for incomplete mixed character sums and applications
Arpan Chandra Mazumder, Giorgos Kapetanakis, Sushant Kala +1
Let be a prime power and be any integer. Let be the finite field of order and be such that .…
Normal and primitive normal elements with prescribed traces in intermediate extensions of finite fields
Arpan Chandra Mazumder, Giorgos Kapetanakis, Dhiren Kumar Basnet
In this article, we study the existence and distribution of elements in finite field extensions with prescribed traces in several intermediate extensions that are also either norma…
Orthomorphism Polynomials of degree over finite fields
Bhitali Kousik, Dhiren Kumar Basnet
In 2019, Xiang Fan \cite{xfan} classified all permutation polynomials of degree over finite fields of odd characteristics. In this paper, we use this classification to determin…
Existence of Special Types Primitive Pairs in Finite Fields Avoiding Affine Hyperplanes
Himangshu Hazarika, Giorgos Kapetanakis, Dhiren Kumar Basnet
Let $\Fm$ be finite fields of order , where and , a prime power. Given $\F$-affine hyperplanes of $\Fm$ in general position, we study the existe…