Boolean functions for cryptography and coding theory

C Carlet - 2021 - books.google.com
Boolean functions are essential to systems for secure and reliable communication. This
comprehensive survey of Boolean functions for cryptography and coding covers the whole …

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 …

The c-Differential Uniformity and Boomerang Uniformity of Two Classes of Permutation Polynomials

SU Hasan, M Pal, P Stănică - IEEE Transactions on Information …, 2021 - ieeexplore.ieee.org
The Difference Distribution Table (DDT) and the differential uniformity play a major role for
the design of substitution boxes in block ciphers, since they indicate the function's resistance …

On the feistel counterpart of the boomerang connectivity table

H Boukerrou, P Huynh, V Lallemand… - IACR Transactions on …, 2020 - inria.hal.science
At Eurocrypt 2018, Cid et al. introduced the Boomerang Connectivity Table (BCT), a tool to
compute the probability of the middle round of a boomerang distinguisher from the …

On the boomerang uniformity of quadratic permutations

S Mesnager, C Tang, M Xiong - Designs, Codes and Cryptography, 2020 - Springer
Abstract At Eurocrypt'18, Cid, Huang, Peyrin, Sasaki, and Song introduced a new tool called
Boomerang Connectivity Table (BCT) for measuring the resistance of a block cipher against …

A new analysis of small S-boxes based on a new notion of algebraic immunity

Y Tong, S Xu, J Huang, B Wang, Z Ren - Journal of Information Security and …, 2023 - Elsevier
We analyze five newly emerged cryptographic characteristics and a new notion of algebraic
immunity proposed by us of 16 best affine equivalence classes of 4× 4 S-boxes, as well as …

Explicit values of the DDT, the BCT, the FBCT, and the FBDT of the inverse, the gold, and the Bracken-Leander S-boxes

S Eddahmani, S Mesnager - Cryptography and Communications, 2022 - Springer
The inverse, the Gold, and the Bracken-Leander functions are crucial for building S-boxes of
block ciphers with good cryptographic properties in symmetric cryptography. These functions …

New genetic operators for developing S-boxes with low boomerang uniformity

M Kang, M Wang - IEEE Access, 2022 - ieeexplore.ieee.org
The boomerang uniformity measures the resistance of block ciphers to boomerang attacks
and has become an essential criterion of the substitution box (S-box). However, the S-box es …

On permutation quadrinomials with boomerang uniformity 4 and the best-known nonlinearity

KH Kim, S Mesnager, JH Choe, DN Lee, S Lee… - Designs, Codes and …, 2022 - Springer
Motivated by recent works on the butterfly structure, particularly by its generalization
introduced by Canteaut et al.(IEEE Trans Inf Theory 63 (11): 7575–7591, 2017), we first …

A class of quadrinomial permutations with boomerang uniformity four

Z Tu, N Li, X Zeng, J Zhou - IEEE Transactions on Information …, 2020 - ieeexplore.ieee.org
In Eurocrypt'18, Cid et al. proposed a new cryptanalysis tool called Boomerang Connectivity
Table (BCT), to evaluate S-boxes of block ciphers. Later, Boura and Canteaut further …