On one-way functions and the average time complexity of almost-optimal compression

Marius Zimand

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arXiv · 2412.03392

On one-way functions and the average time complexity of almost-optimal compression

Marius Zimand

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Abstract

We show that one-way functions exist if and only if there exists an efficient distribution relative to which almost-optimal compression is hard on average. The result is obtained by combining a theorem of Ilango, Ren, and Santhanam and one by Bauwens and Zimand.

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Marius Zimand. 2024-12-04. On one-way functions and the average time complexity of almost-optimal compression. https://arxiv.org/abs/2412.03392

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