Transciphering, using FiLIP and TFHE for an efficient delegation of computation

C Hoffmann, P Méaux, T Ricosset - Progress in Cryptology–INDOCRYPT …, 2020‏ - Springer
Improved filter permutators are designed to build stream ciphers that can be efficiently
evaluated homomorphically. So far the transciphering with such ciphers has been …

On the weightwise nonlinearity of weightwise perfectly balanced functions

A Gini, P Méaux - Discrete Applied Mathematics, 2022‏ - Elsevier
In this article we perform a general study on the criterion of weightwise nonlinearity for the
functions which are weightwise perfectly balanced (WPB). First, we investigate the minimal …

Weightwise Almost Perfectly Balanced Functions: Secondary Constructions for All n and Better Weightwise Nonlinearities

A Gini, P Méaux - International Conference on Cryptology in India, 2022‏ - Springer
The design of FLIP stream cipher presented at Eurocrypt 2016 motivates the study of
Boolean function with good cryptographic criteria when restricted to subsets of F 2 n. Since …

-equivalence classes, a new direction to find better weightwise perfectly balanced functions, and more

A Gini, P Méaux - Cryptography and Communications, 2024‏ - Springer
This article introduces the concept of S 0-equivalence class, ie, n-variable Boolean functions
up to the addition of a symmetric function null in 0 n and 1 n, and investigates its application …

On the cryptographic properties of weightwise affine and weightwise quadratic functions

P Méaux, Y Ozaim - Discrete Applied Mathematics, 2024‏ - Elsevier
Weightwise degree-d functions are Boolean functions that take the values of a function of
degree at most d on each set of fixed Hamming weight. The class of weightwise affine …

On the fast algebraic immunity of threshold functions

P Méaux - Cryptography and Communications, 2021‏ - Springer
Motivated by the impact of fast algebraic attacks on stream ciphers, and recent constructions
using a threshold function as main part of the filtering function, we study the fast algebraic …

On the algebraic immunity of direct sum constructions

P Méaux - Discrete Applied Mathematics, 2022‏ - Elsevier
In this paper, we study sufficient conditions to improve the lower bound on the algebraic
immunity of a direct sum of Boolean functions. We exhibit three properties on the component …

Fast algebraic immunity of Boolean functions and LCD codes

S Mesnager, C Tang - IEEE Transactions on Information …, 2021‏ - ieeexplore.ieee.org
Nowadays, the resistance against algebraic attacks and fast algebraic attacks are
considered as an important cryptographic property for Boolean functions used in stream …

Cryptographic Properties of Boolean Functions Generating Similar de Bruijn Sequences

A Varelias, K Limniotis… - Analysis, Cryptography and …, 2023‏ - World Scientific
238 A. Varelias, K. Limniotis, & N. Kolokotronis this algorithm as the means to compute
similar de Bruijn sequences, we subsequently examine cryptographic properties of the …

2023 World Scientific Publishing Company

A Varelias, K Limniotis… - … And Information Science, 2023‏ - books.google.com
238 A. Varelias, K. Limniotis, & N. Kolokotronis this algorithm as the means to compute
similar de Bruijn sequences, we subsequently examine cryptographic properties of the …