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 …

Boolean Functions for Cryptography and Error-Correcting Codes.

C Carlet, Y Crama, PL Hammer - 2010 - books.google.com
A fundamental objective of cryptography is to enable two persons to communicate over an
insecure channel (a public channel such as the internet) in such a way that any other person …

Basic theory in construction of Boolean functions with maximum possible annihilator immunity

DK Dalai, S Maitra, S Sarkar - Designs, Codes and Cryptography, 2006 - Springer
So far there is no systematic attempt to construct Boolean functions with maximum
annihilator immunity. In this paper we present a construction kee** in mind the basic …

On the algebraic immunity of symmetric Boolean functions

A Braeken, B Preneel - Progress in Cryptology-INDOCRYPT 2005: 6th …, 2005 - Springer
In this paper, we analyze the algebraic immunity of symmetric Boolean functions. The
algebraic immunity is a property which measures the resistance against the algebraic …

Efficient computation of algebraic immunity for algebraic and fast algebraic attacks

F Armknecht, C Carlet, P Gaborit, S Künzli… - … Conference on the …, 2006 - Springer
In this paper we propose several efficient algorithms for assessing the resistance of Boolean
functions against algebraic and fast algebraic attacks when implemented in LFSR-based …

[PDF][PDF] Utilization of symmetric switching functions in the symbolic reliability analysis of multi-state k-out-of-n systems

AMA Rushdi - International Journal of Mathematical, Engineering …, 2019 - researchgate.net
Symmetric switching functions (SSFs) play a prominent role in the reliability analysis of a
binary k-out-of-n: G system, which is a dichotomous system that is successful if and only if at …

[HTML][HTML] Revisiting deutsch-jozsa algorithm

D Qiu, S Zheng - Information and Computation, 2020 - Elsevier
Abstract The Deutsch-Jozsa algorithm is essentially faster than any possible deterministic
classical algorithm for solving a promise problem that is in fact a symmetric partial Boolean …

Weightwise perfectly balanced functions and nonlinearity

A Gini, P Méaux - International Conference on Codes, Cryptology, and …, 2023 - Springer
In this article we realize a general study on the nonlinearity of weightwise perfectly balanced
(WPB) functions. First, we derive upper and lower bounds on the nonlinearity from this class …

A complete study of two classes of Boolean functions: direct sums of monomials and threshold functions

C Carlet, P Méaux - IEEE Transactions on Information Theory, 2021 - ieeexplore.ieee.org
In this paper, we make a comprehensive study of two classes of Boolean functions whose
interest originally comes from hybrid symmetric-FHE encryption (with stream ciphers like …

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 …