In this survey, we revisit the Rothaus paper and the chapter of Dillon's thesis dedicated to
bent functions, and we describe the main results obtained on these functions during these …

This book provides a comprehensive, up-to-date description of the methodologies and the
application areas, throughout the range of digital communication, in which individual signals …

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 …

Almost bent functions oppose an optimum resistance to linear and differential cryptanalysis.
We present basic properties of almost bent functions; particularly we give an upper bound …

This is the unique book on cross-fertilisations between stream ciphers and number theory. It
systematically and comprehensively covers known connections between the two areas that …

Bent Functions: Results and Applications to Cryptography offers a unique survey of the
objects of discrete mathematics known as Boolean bent functions. As these maximal …

A general explicit construction of bent functions is described, which unifies well known
constructions due to Maiorana-McFarland and Dillon as two opposite extremal cases. Within …

Functions with high nonlinearity have important applications in cryptography, sequences
and coding theory. The purpose of this paper is to give a well-rounded treatment of non …

Bent functions are optimal combinatorial objects. Since their introduction, substantial efforts
have been directed toward their study in the last three decades. A complete classification of …

In a recent paper, it was shown that the restrictions of bent functions to subspaces of
codimension 1 and 2 are highly nonlinear. Here, we present an extensive study of the …