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20092026
most citedOn the c-differential uniformity of certain maps over finite fields

41 citations · 141 across the 23 of their papers we have counts for

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9 papers · 1 filter

math.NT2026

Permutation polynomials from the trace functions

Sartaj Ul Hasan, Ramandeep Kaur, Hridesh Kumar

We study necessary and sufficient conditions on for several classes of polynomials of the form to be permutation polynomials over finite…

math.NT2025

Four new classes of permutation trinomials and their compositional inverses

Sartaj Ul Hasan, Ramandeep Kaur, Hridesh Kumar

We construct four new classes of permutation trinomials over the cubic extension of a finite field with even characteristic. Additionally, we explicitly provide the compositional i…

math.NT2025

Some new results on permutation trinomials over finite fields with even characteristic

Kirpa Garg, Sartaj Ul Hasan, Chandan Kumar Vishwakarma

The construction of permutation trinomials of the form over $\F_{2^{2m}}$, where are positive integers, is an active are…

math.NT2024

Local permutation polynomials and their companions

Sartaj Ul Hasan, Hridesh Kumar

Gutierrez and Urroz (2023) have proposed a family of local permutation polynomials over finite fields of arbitrary characteristic based on a class of symmetric subgroups without fi…

math.NT2024★ 2 cited

Some new classes of permutation polynomials and their compositional inverses

Sartaj Ul Hasan, Ramandeep Kaur

We focus on the permutation polynomials of the form $L(X)+\Tr_{m}^{3m}(X)^{s}$ over $\F_{q^3}$, where $\F_q$ is the finite field with elements, is a prime number, i…

math.NT2020★ 16 cited

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…

math.NT2019★ 1 cited

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…

math.NT2019★ 1 cited

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…

math.NT2018

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.