The CRC Handbook of Finite Fields (hereafter referred to as the Handbook) is a reference
book for the theory and applications of finite fields. It is not intended to be an introductory …

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 …

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 …

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 …

Conventional nonlinear feedback shift registers (NLFSRs) use the Fibonacci configuration in
which the feedback is applied to the last bit only. In this paper, we show how to transform a …

The filter generator is an important building block in many stream ciphers. The generator
consists of a linear feedback shift register of length n that generates an m-sequence of …

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 …

The role of Boolean functions is prominent in several areas including cryptography,
sequences, and coding theory. Therefore, various methods for the construction of Boolean …

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 …