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Electronic Colloquium on Computational Complexity

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TR21-125 | 23rd August 2021
Zhiyuan Fan, Jiatu Li, Tianqi Yang

The Exact Complexity of Pseudorandom Functions and Tight Barriers to Lower Bound Proofs

Revisions: 1

How much computational resource do we need for cryptography? This is an important question of both theoretical and practical interests. In this paper, we study the problem on pseudorandom functions (PRFs) in the context of circuit complexity. Perhaps surprisingly, we prove extremely tight upper and lower bounds in various circuit ... more >>>


TR21-124 | 17th August 2021
Iftach Haitner, Noam Mazor, Jad Silbak, Eliad Tsfadia

On the Complexity of Two-Party Differential Privacy

Revisions: 1

In distributed differential privacy, the parties perform analysis over their joint data while preserving the privacy for both datasets. Interestingly, for a few fundamental two-party functions such as inner product and Hamming distance, the accuracy of the distributed solution lags way behind what is achievable in the client-server setting. McGregor, ... more >>>


TR21-123 | 25th August 2021
Ben Davis, Hamed Hatami, William Pires, Ran Tao, Hamza Usmani

On public-coin zero-error randomized communication complexity

Revisions: 2

We prove that for every Boolean function, the public-coin zero-error randomized communication complexity and the deterministic communication complexity are polynomially equivalent.

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