Any valid Ramsey statement n −→ (k)2 2 can be encoded into a DNF formula RAM(n, k) of size O(nk) and with terms of size k 2 . Let rk be the minimal n for which the statement h...
We prove that there is a polynomial time substitution (y1, . . . , yn) := g(x1, . . . , xk) with k << n such that whenever the substitution instance A(g(x1, . . . , xk)) of ...
In this paper we are interested in algebraic immunity of several well known highly-nonlinear vectorial Boolean functions (or Sboxes), designed for block and stream ciphers. Unfortu...