On one-way functions and the average time complexity of almost-optimal compression
We show that one-way functions exist if and only 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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Sprache: | eng |
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Zusammenfassung: | We show that one-way functions exist if and only 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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DOI: | 10.48550/arxiv.2412.03392 |