5 papers
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…
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,…
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 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…