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 …

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 …

Recently, algebraic attacks have received a lot of attention in the cryptographic literature. It
has been observed that a Boolean function f used as a cryptographic primitive, and …

After the improvement by Courtois and Meier of the algebraic attacks on stream ciphers and
the introduction of the related notion of algebraic immunity, several constructions of infinite …

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 …

Based on a method proposed by the first author, several classes of balanced Boolean
functions with optimum algebraic immunity are constructed, and they have nonlinearities …

It is known that Boolean functions used in stream and block ciphers should have good
cryptographic properties to resist algebraic attacks. Up until now, there have been several …

In this paper, three constructions of balanced Boolean functions with optimal algebraic
immunity are proposed. It is checked that, at least for small numbers of input variables, these …

Symmetric Boolean functions with even variables 2k and maximum algebraic immunity AI
(f)= k have been constructed in Braeken's thesis (2006). In this paper, we show more …

In this correspondence, we introduce a method to construct Boolean functions in any
number of variables, with optimal algebraic immunity. Remarkably, all functions of this type …