7 papers
A Weil Sum Approach to Permutation Polynomials over Quadratic Extensions of Finite Fields
Bidushi Sharma, Dhiren Kumar Basnet
In this article, we introduce several classes of permutation polynomials over . More precisely, we characterize permutation polynomials of the forms $x^q + b x^2…
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 $\mathbb F_{q^m} = \mathbb F(θ)…
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…
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…
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…
Primitive pairs of rational functions with prescribed traces over finite fields
Shikhamoni Nath, Dhiren Kumar Basnet
Let be a positive integral power of some prime and be a finite field with elements for some . Here we establish a sufficient cond…