41 citations · 141 across the 23 of their papers we have counts for
6 papers · 1 filter
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…
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…
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…
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…
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…