Welcome to the resource topic for 2012/210
Title:
On the Existence of Boolean Functions with Optimal Resistance against Fast Algebraic Attacks
Authors: Yusong Du, Fangguo Zhang
Abstract:It has been pointed out that an n-variable Boolean function f has optimal resistance against fast algebraic attacks if and only if there does not exist a nonzero n-variable Boolean function g of degree lower than \frac{n}{2} such that fg=h and \mathrm{deg}(g)+\mathrm{deg}(h)<n. In this corresponding, we show that there does not exist an n-variable Boolean function with optimal resistance against fast algebraic attacks for most values of n.
ePrint: https://eprint.iacr.org/2012/210
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