6 papers
Constructions of complete permutations over
Sartaj Ul Hasan, Ramandeep Kaur, Hridesh Kumar +2
Complete permutation polynomials play an important role in cryptography, particularly in the design of cryptographic primitives such as the Lai--Massey scheme and S-boxes. We gener…
Enumeration of certain permutation group polynomials
Sartaj Ul Hasan, Ramandeep Kaur, Hridesh Kumar
We construct a new family of permutation group polynomials over finite fields of odd characteristic and explicitly provide its companion. Moreover, we precisely determine the numbe…
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…
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…
Bivariate local permutation polynomials, their companions, and related enumeration results
Sartaj Ul Hasan, Ramandeep Kaur, Hridesh Kumar
We construct a new family of permutation group polynomials over finite fields of arbitrary characteristic, which are special types of bivariate local permutation polynomials. For t…
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…