The book introduces new techniques that imply rigorous lower bounds on the com plexity of
some number-theoretic and cryptographic problems. It also establishes certain attractive …

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 …

Many desirable properties have been identified for Boolean functions with cryptographic
applications. Obtaining optimal tradeoffs among such properties is hard. In this paper we …

In this paper, a technique on constructing nonlinear resilient Boolean functions is described.
By using several sets of disjoint spectra functions on a small number of variables, an almost …

Fundamental to the electronic security of information and communication systems, is the
correct use and application of appropriate ciphers. The strength of these ciphers, particularly …

Boolean functions are an important area of study for cryptography. These functions,
consisting merely of one's and zero's, are the heart of numerous cryptographic systems and …

In this paper we develop a technique that allows to obtain new effective constructions of
highly resilient Boolean functions with high nonlinearity. In particular, we prove that the …

In this correspondence, we use affine functions on a small number of variables to construct
resilient functions on a large number of variables. We show that by properly combining these …

The design of n-variable t-resilient functions with strictly almost optimal (SAO) nonlinearity (>
2 n− 1− 2 n 2, n even) appears to be a rather difficult task. The known construction methods …

In this paper, we present a construction method of m-resilient Boolean functions with very
high nonlinearity for low values of m. The construction only considers functions in even …