Sciweavers

3 search results - page 1 / 1
» A note on propositional proof complexity of some Ramsey-type...
Sort
View
AML
2011
204views Mathematics» more  AML 2011»
12 years 11 months ago
A note on propositional proof complexity of some Ramsey-type statements
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...
Jan Krajícek
IPL
2007
99views more  IPL 2007»
13 years 4 months ago
Substitutions into propositional tautologies
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 ...
Jan Krajícek
ACISP
2006
Springer
13 years 10 months ago
On Exact Algebraic [Non-]Immunity of S-Boxes Based on Power Functions
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...
Nicolas Courtois, Blandine Debraize, Eric Garrido