41 citations · 72 across the 12 of their papers we have counts for
14 papers
General constructions of normal bent partitions related to vectorial dual-bent functions
Alexander Kholosha, Mohit Pal
Bent partitions were introduced as a generalization of partial spread construction of bent functions and they became a hot research topic recently. In this paper, we prove two gene…
Generalized -ary $\cPS$ Bent Functions
Alexander Kholosha, Mohit Pal
We use -dimensional partial spreads of $\fp^{2n}$, where is an odd prime, is a positive integer and divides , to construct two classes of bent functions from $\fp…
A proof of a conjecture on permutation polynomials
Krishna Mallick, Mohit Pal
In this paper, we use finite fields and linear algebra methods to resolve a conjecture by T. Zhang, L. Zheng, H. Wang, J. Peng and Y. Li (Finite Fields Appl. 110 (2026) 102743) con…
Permutation polynomials over finite fields from low-degree rational functions
Kirpa Garg, Sartaj Ul Hasan, Chunlei Li +2
This paper considers permutation polynomials over the finite field in even characteristic by utilizing low-degree permutation rational functions over . As a result,…
A proof of a conjecture on permutation trinomials
Daniele Bartoli, Mohit Pal, Pantelimon Stanica
In this paper we use algebraic curves and other algebraic number theory methods to show the validity of a permutation polynomial conjecture regarding $f(X)=X^{q(p-1)+1} +αX^{pq}+X^…
Non-permutation phenomena in trivariate families over $\F_{2^m}$ and resolution of a conjecture
Daniele Bartoli, Mohit Pal, Pantelimon Stanica +1
Constructing permutation polynomials over finite fields, particularly those with simple algebraic structure in multiple variables, is a fundamental problem with applications in cry…
A connection between the boomerang uniformity and the extended differential in odd characteristic and applications
Mohit Pal, Pantelimon Stanica
This paper makes the first bridge between the classical differential/boomerang uniformity and the newly introduced -differential uniformity. We show that the boomerang uniformit…
Some new classes of (almost) perfect -nonlinear permutations
Mohit Pal
The concept of differential uniformity was recently extended to the -differential uniformity. An interesting problem in this area is the construction of functions with low -d…
Boomerang uniformity of a class of power maps
Sartaj Ul Hasan, Mohit Pal, Pantelimon Stanica
We consider the boomerang uniformity of an infinite class of (locally-APN) power maps and show that its boomerang uniformity over the finite field $\F_{2^n}$ is and , when $…
The binary Gold function and its c-boomerang connectivity table
Sartaj Ul Hasan, Mohit Pal, Pantelimon Stanica
Here, we give a complete description of the c-Boomerang Connectivity Table for the Gold function over finite fields of even characteristic, by using double Weil sums. In the proces…
On the c-differential uniformity of certain maps over finite fields
Sartaj Ul Hasan, Mohit Pal, Constanza Riera +1
We give some classes of power maps with low -differential uniformity over finite fields of odd characteristic, {for }. Moreover, we give a necessary and sufficient conditi…
Dembowski-Ostrom polynomials and Dickson polynomials
Sartaj Ul Hasan, Mohit Pal
We give a complete classification of Dembowski-Ostrom polynomials from the composition of Dickson polynomials of arbitrary kind and monomials over finite fields. Moreover, by using…
Dembowski-Ostrom polynomials and reversed Dickson polynomials
Neranga Fernando, Sartaj Ul Hasan, Mohit Pal
We discuss the problem of classifying Dembowski-Ostrom polynomials from the composition of reversed Dickson polynomials of arbitrary kind and monomials over finite fields of odd ch…
Dembowski-Ostram polynomials and reversed Dickson polynomials
Neranga Fernando
We give a complete classification of Dembowski-Ostram polynomials from reversed Dickson polynomials in odd characteristic.