6 citations · 23 across the 36 of their papers we have counts for
6 papers · 2 filters
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…
Idempotents of
Suman Mondal, Dhiren Kumar Basnet
We know that if there are distinct prime factors of , then the ring of integers modulo has exactly idempotent elements. In this artic…
Primitive normal Values of rational functions with one prescribed norm and trace over finite fields
Arpan Chandra Mazumder, Dhiren Kumar Basnet
Let be such that is a prime power and . In this article we establish a sufficient condition for the existence of a primitive norma…
Primitive normal pairs with prescribed traces over finite fields
Shikhamoni Nath, Arpan Chandra Mazumder, 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…
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…