41 citations · 141 across the 23 of their papers we have counts for
23 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…
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,…
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 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…
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…
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…
The revised boomerang connectivity tables and their connection to the Difference Distribution Table
Kirpa Garg, Sartaj Ul Hasan, Constanza Riera +1
It is well-known that functions over finite fields play a crucial role in designing substitution boxes (S-boxes) in modern block ciphers. In order to analyze the security of an S-b…
The second-order zero differential spectra of some APN and other maps over finite fields
Kirpa Garg, Sartaj Ul Hasan, Constanza Riera +1
The Feistel Boomerang Connectivity Table and the related notion of -Boomerang uniformity (also known as the second-order zero differential uniformity) has been recently introduc…
The differential properties of certain permutation polynomials over finite fields
Kirpa Garg, Sartaj Ul Hasan, Pantelimon Stanica
Finding functions, particularly permutations, with good differential properties has received a lot of attention due to their varied applications. For instance, in combinatorial des…
The second-order zero differential spectra of some functions over finite fields
Kirpa Garg, Sartaj Ul Hasan, Constanza Riera +1
It was shown by Boukerrou et al.~[IACR Trans. Symmetric Cryptol. 1 (2020), 331--362] that the -boomerang uniformity (which is the same as the second-order zero differential unif…
Differential uniformity properties of some classes of permutation polynomials
Kirpa Garg, Sartaj Ul Hasan, Pantelimon Stanica
The notion of -differential uniformity has recently received a lot of attention since its proposal~\cite{Ellingsen}, and recently a characterization of perfect -nonlinear fun…
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.
A note on the multiple-recursive matrix method for generating pseudorandom vectors
Susil Kumar Bishoi, Himanshu Kumar Haran, Sartaj Ul Hasan
The multiple-recursive matrix method for generating pseudorandom vectors was introduced by Niederreiter (Linear Algebra Appl. 192 (1993), 301-328). We propose an algorithm for find…
Linear Codes associated to Determinantal Varieties
Peter Beelen, Sudhir R. Ghorpade, Sartaj Ul Hasan
We consider a class of linear codes associated to projective algebraic varieties defined by the vanishing of minors of a fixed size of a generic matrix. It is seen that the resulti…
Primitive Polynomials, Singer Cycles, and Word-Oriented Linear Feedback Shift Registers
Sudhir R. Ghorpade, Sartaj Ul Hasan, Meena Kumari
Using the structure of Singer cycles in general linear groups, we prove that a conjecture of Zeng, Han and He (2007) holds in the affirmative in a special case, and outline a plaus…