Boolean functions are essential to systems for secure and reliable communication. This
comprehensive survey of Boolean functions for cryptography and coding covers the whole …

РАССМОТРЕНЫ ОСНОВОПОЛАГАЮЩИЕ ЗАКОНЫ ПОЛОЖИТЕЛЬНОЙ АЛГЕБРЫ
ЛОГИКИ, ВКЛЮЧАЯ ПРАВИЛА, ОТНОСЯЩИЕСЯ К ЭЛЕМЕНТАМ ЭКВИВАЛЕНТНОСТИ …

In the late 1980s the importance of highly nonlinear functions in cryptography was first
discovered by Meier and Staffelbach from the point of view of correlation attacks on stream …

In a first part of the paper, we recall some known open questions on the nonlinearity of
Boolean and vectorial functions and on the APN-ness of vectorial functions. All of them have …

As the building block in symmetric cryptography, designing Boolean functions satisfying
multiple properties is an important problem in sequence ciphers, block ciphers, and hash …

The main cryptographic features of Boolean functions when the input is restricted to some
subset of F 2 n F_2^n are studied recently because of the innovative stream cipher FLIP …

The notion of transparency order, proposed by Prouff (DPA attacks and S-boxes, FSE 2005,
LNCS 3557, Springer, Berlin, 2005) and then redefined by Chakraborty et al.(Des Codes …

Rotation symmetric Boolean functions have raised widespread attention because of the
good properties in cryptosystem. This paper presents a new construction of odd-variable …

In this article we improve the lower bound on the maximum nonlinearity of 1-resilient
Boolean functions, for n even, by proposing a method of constructing this class of functions …

In 2013, Tang, Carlet, and Tang [IEEE TIT 59 (1): 653-664, 2013] presented two classes of
Boolean functions. The functions in the first class are unbalanced and the functions in the …