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math.NT2024
Local permutation polynomials and their companions
Sartaj Ul Hasan, Hridesh Kumar
Gutierrez and Urroz (2023) have proposed a family of local permutation polynomials over finite fields of arbitrary characteristic based on a class of symmetric subgroups without fi…
math.NT2024★ 2 cited
Some new classes of permutation polynomials and their compositional inverses
Sartaj Ul Hasan, Ramandeep Kaur
We focus on the permutation polynomials of the form $L(X)+\Tr_{m}^{3m}(X)^{s}$ over $\F_{q^3}$, where $\F_q$ is the finite field with elements, is a prime number, i…
cs.CR2024★ 1 cited
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…