Kirpa Garg

activity

20222026

most citedThe second-order zero differential spectra of some functions over finite fields

4 citations · 9 across the 8 of their papers we have counts for

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math.NT2026

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…

math.NT2025

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 $X^{r} (X^{α (2^{m} - 1)} + X^{β (2^{m} - 1)} + 1)$ over $\F_{2^{2m}}$, where $m, r and α > β$ are positive integers, is an active are…