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Electronic Colloquium on Computational Complexity

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TR21-085 | 21st June 2021
Ilya Volkovich

The Final Nail in the Coffin of Statistically-Secure Obfuscator.

We present an elementary, self-contained proof of the result of Goldwasser and Rothblum [GR07] that the existence of a (perfect) statistically secure obfuscator implies a collapse of the polynomial hierarchy. In fact, we show that an existence of a weaker object implies a somewhat stronger statement. In addition, we extend ... more >>>


TR21-084 | 21st June 2021
Liron Bronfman, Ron Rothblum

PCPs and Instance Compression from a Cryptographic Lens

Modern cryptography fundamentally relies on the assumption that the adversary trying to break the scheme is computationally bounded. This assumption lets us construct cryptographic protocols and primitives that are known to be impossible otherwise. In this work we explore the effect of bounding the adversary's power in other information theoretic ... more >>>


TR21-083 | 21st June 2021
Mark Braverman, Sumegha Garg, Or Zamir

Tight Space Complexity of the Coin Problem

In the coin problem we are asked to distinguish, with probability at least $2/3$, between $n$ $i.i.d.$ coins which are heads with probability $\frac{1}{2}+\beta$ from ones which are heads with probability $\frac{1}{2}-\beta$. We are interested in the space complexity of the coin problem, corresponding to the width of a read-once ... more >>>



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