Ranking-Based Black-Box Complexity

Memory-Restricted Black-Box Complexity

We show that the black-box complexity with memory restriction one of the n-dimensional OneMax function class is at most 2n. This disproves the Θ(n log n) conjecture of Droste, Jansen, and Wegener (Theory of Computing Systems 39 (2006) 525–544).

The Complexity of Black-Box Ring Problems

We study the complexity of some computational problems on finite black-box rings whose elements are encoded as strings of a given length and the ring operations are performed by a black-box oracle. We give a polynomial-time quantum algorithm to compute a basis representation for a given black-box ring. Using this result we obtain polynomial-time quantum algorithms for several natural computatio...

On Black-Box Complexity of UC Security

In this work, we study the intrinsic complexity of black-box UC secure computation based on general assumptions. We present a thorough study in various corruption modelings while focusing on achieving security in the CRS model (and related setups). Our results involve the following: • Static UC secure computation. Designing the first static UC secure oblivious transfer protocol based on public-...

A Note on Black-Box Complexity of Indistinguishability Obfuscation

Mahmoody et al. (TCC 2016-A) showed that basing indistinguishability obfuscation (IO) on a wide range of primitives in a semi-black-box way is as hard as basing public-key cryptography on one-way functions. The list included any primitive P that can be realized relative to random trapdoor permutations or degree-O(1) graded encoding model for any finite ring secure against computationally unboun...

D 1.4 Black-box complexity: limits of evolution