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 …

Cryptographic Boolean Functions and Applications, Second Edition is designed to be a
comprehensive reference for the use of Boolean functions in modern cryptography. While …

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 …

For the first time Boolean functions on 9 variables having nonlinearity 241 are discovered,
that remained as an open question in literature for almost three decades. Such functions are …

Rotation symmetric (RotS) Boolean functions have been used as components of different
cryptosystems. This class of Boolean functions are invariant under circular translation of …

Recently algebraic attack has received a lot of attention in cryptographic literature. It has
been observed that a Boolean function f, interpreted as a multivariate polynomial over GF …

Recent research shows that the class of Rotation Symmetric Boolean Functions (RSBFs), ie,
the class of Boolean functions that are invariant under circular translation of indices, is …

One well known method of generating key stream sequences for stream ciphers is to
combine the outputs of several Linear Feedback Shift Registers (LFSR) using a combining …

Algebraic attack has recently become an important tool in cryptanalysing different stream
and block cipher systems. A Boolean function, when used in some cryptosystem, should be …

Thanks to a new upper bound, we study more precisely the nonlinearities of Maiorana-
McFarland's resilient functions. We characterize those functions with optimum nonlinearities …