Survey on recent trends towards generalized differential and boomerang uniformities

S Mesnager, B Mandal, M Msahli - Cryptography and Communications, 2022 - Springer
Differential cryptanalysis is a general form of cryptanalysis applicable primarily to block and
stream ciphers and cryptographic hash functions. The discovery of differential cryptanalysis …

Several classes of PcN power functions over finite fields

X Wang, D Zheng, L Hu - Discrete Applied Mathematics, 2022 - Elsevier
Recently, a new concept called multiplicative differential cryptanalysis and the
corresponding c-differential uniformity were introduced by Ellingsen et al.(2020), and then …

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

K Garg, SU Hasan, C Riera, P Stănică - Cryptography and …, 2025 - Springer
It was shown by Boukerrou et al.[IACR Trans. Symmetric Cryptol. 1 (2020), 331–362] that the
F-boomerang uniformity (which is the same as the second-order zero differential uniformity …

New Results on the −1 Conjecture on Cross-Correlation of m-Sequences Based on Complete Permutation Polynomials

G Wu, K Feng, N Li, T Helleseth - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
The cross-correlation between two maximum length sequences (-sequences) of the same
period has been studied since the end of 1960s. One open conjecture by Helleseth states …

The binary Gold function and its c-boomerang connectivity table

SU Hasan, M Pal, P Stănică - Cryptography and Communications, 2022 - Springer
Here, we give a complete description of the entire c-Boomerang Connectivity Table for the
Gold function over finite fields of even characteristic, by using double Weil sums. As a by …

The c-differential uniformity and boomerang uniformity of three classes of permutation polynomials over F2n

Q Liu, Z Huang, J **e, X Liu, J Zou - Finite Fields and Their Applications, 2023 - Elsevier
Permutation polynomials with low c-differential uniformity and boomerang uniformity have
wide applications in cryptography. In this paper, by utilizing the Weil sums technique and …

[HTML][HTML] On non-monomial APcN permutations over finite fields of even characteristic

J Jeong, N Koo, S Kwon - Finite Fields and Their Applications, 2023 - Elsevier
Recently, a new concept called the c-differential uniformity was proposed by Ellingsen et
al.(2020), which generalizes the notion of differential uniformity measuring the resistance …

S-box Security Analysis of NIST Lightweight Cryptography Candidates: A Critical Empirical Study

M Naseer, S Tariq, N Riaz, N Ahmed… - arxiv preprint arxiv …, 2024 - arxiv.org
In the resource-constrained world of the digital landscape, lightweight cryptography plays a
critical role in safeguarding information and ensuring the security of various systems …

Investigations of c-differential uniformity of permutations with Carlitz rank 3

J Jeong, N Koo, S Kwon - Finite Fields and Their Applications, 2023 - Elsevier
The c-differential uniformity is recently proposed to reflect resistance against some variants
of differential attack. Finding functions with low c-differential uniformity is attracting attention …

Differential biases, -differential uniformity, and their relation to differential attacks

D Bartoli, L Kölsch, G Micheli - arxiv preprint arxiv:2208.03884, 2022 - arxiv.org
Differential cryptanalysis famously uses statistical biases in the propagation of differences in
a block cipher to attack the cipher. In this paper, we investigate the existence of more …