talk Monday 05.19 existence of public key cryptography, characterization using Kolmogorov complexity

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Bruno Bauwens

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May 16, 2025, 10:26:01 AMMay 16
to Kolmogorov seminar on complexity
Hi,


Monday, at 16:30 CET or 18:30 MSK, I will continue my talk about the Kolmogorov complexity characterization of secret key agreement.

Ball, Liu, Mazor and Pass [BLMP23] proved that the existence of key-agreement protocols is equivalent to a certain estimate of interactive Kolmogorov complexity being in ioBPP. In the previous talk we stated the problem, explained that this estimation problem is decidable, and proved the backward impliciation (in the contra-positive, breaking a specific protocol provides an ioBPP algorithm for the estimation problem). In this talk we will briefly repeat everything and prove the forward implication (again in the contra-positive, with an ioBPP algorithm of the estimation problem we can break each protocol).

Zoom: https://u-bordeaux-fr.zoom.us/j/88402787361?pwd=WktCdEhBT3pXN0pLUGg4Z3RuMlpsQT09
Notes: https://arxiv.org/pdf/2504.16311
The previous talk: https://www.youtube.com/watch?v=D1GdCXak0Nw


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Nikolay Vereshchagin

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May 16, 2025, 10:38:06 AMMay 16
to brba...@gmail.com, Kolmogorov seminar on complexity
It is 17:30 CEST (Paris time),  and not 16:30! 

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