We establish, for the first time, an explicit and simple lower bound on the nonlinearity Nf of a Boolean function f of n variables satisfying the avalanche criterion of degree p, ...
In this paper we study the neighbourhood of 15-variable Patterson-Wiedemann (PW) functions, i.e., the functions that differ by a small Hamming distance from the PW functions in te...
A Boolean function with an even number n = 2k of variables is called bent if it is maximally nonlinear. We present here a new construction of bent functions. Boolean functions of ...
Hans Dobbertin, Gregor Leander, Anne Canteaut, Cla...
An (n, m, k)-resilient function is a function f : Fn 2 → Fm 2 such that every possible output m-tuple is equally likely to occur when the values of k arbitrary inputs are fixed ...
Abstract. This paper investigates the design of S-boxes used for combining linear feedback shift register (LFSR) sequences in combination generators. Such combination generators ha...