Key-agreement exists if and only if the "interactive vs non interactive Kolmogorov problem" is not in ioBPP: a short proof

Bruno Bauwens; Bruno Loff

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arXiv · 2504.16311

Key-agreement exists if and only if the "interactive vs non interactive Kolmogorov problem" is not in ioBPP: a short proof

Bruno Bauwens·Bruno Loff

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Abstract

Ball, Liu, Mazor and Pass proved that the existence of key-agreement protocols is equivalent to the hardness of a certain problem about interactive Kolmogorov complexity. We generalize the statement and give a short proof of the difficult implication.

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Bruno Bauwens, Bruno Loff. 2025-04-22. Key-agreement exists if and only if the "interactive vs non interactive Kolmogorov problem" is not in ioBPP: a short proof. https://arxiv.org/abs/2504.16311

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