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20002026
most citedOn the c-differential uniformity of certain maps over finite fields

41 citations · 136 across the 62 of their papers we have counts for

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Showing 2023Show all

6 papers · 1 filter

quant-ph2023

Quantum Secure Protocols for Multiparty Computations

Tapaswini Mohanty, Vikas Srivastava, Sumit Kumar Debnath +1

Secure multiparty computation (MPC) schemes allow two or more parties to conjointly compute a function on their private input sets while revealing nothing but the output. Existing…

cs.IT2023

A connection between the boomerang uniformity and the extended differential in odd characteristic and applications

Mohit Pal, Pantelimon Stanica

This paper makes the first bridge between the classical differential/boomerang uniformity and the newly introduced -differential uniformity. We show that the boomerang uniformit…

cs.IT2023★ 3 cited

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…

math.CO2023★ 1 cited

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…

math.NT2023★ 1 cited

Representing the inverse map as a composition of quadratics in a finite field of characteristic

Florian Luca, Santanu Sarkar, Pantelimon Stanica

In 1953, Carlitz~\cite{Car53} showed that all permutation polynomials over $\F_q$, where is a power of a prime, are generated by the special permutation polynomials …

cs.IT2023★ 4 cited

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…