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Survey on recent trends towards generalized differential and boomerang uniformities
Differential cryptanalysis is a general form of cryptanalysis applicable primarily to block and
stream ciphers and cryptographic hash functions. The discovery of differential cryptanalysis …
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 …
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
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 …
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 …
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
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 …
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 …
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 …
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
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 …
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 …
of differential attack. Finding functions with low c-differential uniformity is attracting attention …
Differential biases, -differential uniformity, and their relation to differential attacks
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 …
a block cipher to attack the cipher. In this paper, we investigate the existence of more …