Bhitali Kousik

collaborators

3 papers

math.RA2026

A further study of quandles and quandle rings

Gregory Churchill, Indu Rasika Churchill, Neranga Fernando +1

We investigate core quandles and idempotents in quandle rings of core quandles. We answer several questions on the rank of core quandles and nontrivial idempotents in quandle rings…

math.NT2026

A further study of polynomial $g_{n, q}$ over finite fields

Neranga Fernando, Bhitali Kousik

Let $n \geq 0$ be an integer and $q$ a prime power. The polynomial $g_{n, q}$ was introduced in [10] with the purpose of finding new classes of permutation polynomials over finite fi…

math.NT2026

Orthomorphism Polynomials of degree $7$ over finite fields

Bhitali Kousik, Dhiren Kumar Basnet

In 2019, Xiang Fan \cite{xfan} classified all permutation polynomials of degree $7$ over finite fields of odd characteristics. In this paper, we use this classification to determin…

A further study of quandles and quandle rings

A further study of polynomial gn,q​ over finite fields

Orthomorphism Polynomials of degree 7 over finite fields

A further study of polynomial $g_{n, q}$ over finite fields

Orthomorphism Polynomials of degree $7$ over finite fields