Hi,

Post-quantum computing cryptographic algorithms are designed and available for 
use. Considering that the Kyber algorithm is going to be mandated by US 
authorities in the future as a complete replacement for asymmetric key 
exchange and agreement, a proposal integrating Kyber into TLS is specified 
with [1].

This proposal, however, has one central shortcoming: only the TLS server 
contributes to the security strength of the shared secret generated by Kyber. 
This shortcoming can be solved with a slightly improved approach where the 
client and the server both independent of each other contribute to the 
security of the communication channel where the channel even retains its 
security when one side has insufficient entropy.

The entire analysis and the suggested proposal to address the outlined issue 
is provided with [2]. I would like to share this proposal to contribute to the 
discussion how Kyber can be applied to TLS.

[1] https://www.ietf.org/archive/id/draft-ietf-tls-hybrid-design-06.txt

[2] http://www.chronox.de/papers/TLS_and_Kyber_analysis.pdf

Ciao
Stephan


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