4 papers
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…