4 citations · 9 across the 8 of their papers we have counts for
9 papers
Differential-linear profiles over finite fields of arbitrary characteristic
Kirpa Garg, Constanza Riera, Pantelimon Stănică
The (binary) differential-linear connectivity table (DLCT) measures the dependence between an input difference and a linear mask applied to the corresponding output difference. For…
New classes of trace-form permutation polynomials and their compositional inverses
Kirpa Garg
We construct permutation polynomials of the form x + γTr^{q^2}_q(h(x)) over the finite field F_{q^2}. More precisely, we present two families ofpermutation polynomials whose coeffi…
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,…
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…
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…