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Electronic Colloquium on Computational Complexity

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TR10-165 | 4th November 2010
Dmytro Gavinsky, Tsuyoshi Ito

Quantum Fingerprints that Keep Secrets

We introduce a new type of cryptographic primitive that we call hiding fingerprinting. No classical fingerprinting scheme is hiding. We construct quantum hiding fingerprinting schemes and argue their optimality.

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TR10-164 | 4th November 2010
Falk Unger

Better gates can make fault-tolerant computation impossible

Revisions: 1

We consider fault-tolerant computation with formulas composed of noisy Boolean gates with two input wires. In our model all gates fail independently of each other and of the input. When a gate fails, it outputs the opposite of the correct output. It is known that if all gates fail with ... more >>>


TR10-163 | 3rd November 2010
Harry Buhrman, Leen Torenvliet, Falk Unger, Nikolay Vereshchagin

Sparse Selfreducible Sets and Nonuniform Lower Bounds

It is well-known that the class of sets that can be computed by polynomial size circuits is equal to the class of sets that are polynomial time reducible to a sparse set. It is widely believed, but unfortunately up to now unproven, that there are sets in $EXP^{NP}$, or even ... more >>>



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