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How to fake auxiliary input

Friday 13th April 2012 - 10:00 to 11:00
INI Seminar Room 1
We show that for any joint distribution $(X,A)$ and any family $F$ of distinguishers, e.g. polynomial size circuits, there exists an efficient (deterministic) simulator $h$ such that $F$ cannot distinguish $(X,A)$ from $(X,h(X))$, i.e. for all $f$ in $F$ we have $\bigl| E[f(X,A)]-E(f(X,h(X))] \bigr| <eps$. Efficient means exponential in the length of $A$ and polynomial in $1/eps$. Several known results, including a strong version of the dense model theorem, follow as simple corollaries. The main motivation for this work is to simplify leakage-resilience proofs which currently use the dense model theorem.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons