I am interested in all aspects of finite fields and their applications, including polynomials, normal bases, primitive elements, character sum estimates, and permutation polynomials.
I am interested in all aspects of finite fields and their applications, including polynomials, normal bases, primitive elements, character sum estimates, and permutation polynomials.
Publications:
Normal and primitive normal elements with prescribed traces in intermediate extensions of finite fields (with G. Kapetanakis, D. K. Basnet) Finite fields and their applications, 110, 2026.
Primitive normal pairs with prescribed traces over finite fields (with S. Nath, D. K. Basnet) Ars Combinatoria, 163:69-82, 2025.
Preprints:
An estimate for incomplete mixed character sums and applications, (with D. K. Basnet, G. Kapetanakis, S. Kala), submitted (preprint).
On r-primitive k-normal Gauss periods of type (n, 2) (with D. K. Basnet), submitted (preprint).
Primitive values of rational functions at primitive elements of a finite field avoiding affine hyperplanes (with B. Sharma, D. K. Basnet), submitted (preprint).
Primitive normal pairs of elements with one prescribed trace (with H. Hazarika, G. Kapetanakis, D. K. Basnet), submitted.