On one-way functions and the average time complexity of almost-optimal compression
Computational Complexity
2025-01-24 v2
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.
Cite
@article{arxiv.2412.03392,
title = {On one-way functions and the average time complexity of almost-optimal compression},
author = {Marius Zimand},
journal= {arXiv preprint arXiv:2412.03392},
year = {2025}
}
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short note