[Resource Topic] 2023/1811: A note on Failing gracefully: Completing the picture for explicitly rejecting Fujisaki-Okamoto transforms using worst-case correctness

Welcome to the resource topic for 2023/1811

Title:
A note on Failing gracefully: Completing the picture for explicitly rejecting Fujisaki-Okamoto transforms using worst-case correctness

Authors: Kathrin Hövelmanns, Christian Majenz

Abstract:

The Fujisaki-Okamoto (FO) transformation is used in most proposals for post-quantum secure key encapsulation mechanisms (KEMs) like, e.g., Kyber [BDK+18]. The security analysis of FO in the presence of quantum attackers has made huge progress over the last years. Recently, [HHM22] made a particular improvement by giving a security proof that is agnostic towards how invalid ciphertexts are being treated: in contrast to previous proofs, it works regardless whether invalid ciphertexts are rejected by
reporting decryption failure explicitly or implicitly (by returning pseudorandom values).

The proof in [HHM22] involves a new correctness notion for the encryption scheme that is used to encapsulate the keys. This allows in principle for a smaller additive security related to decryption failures, but requires to analyze this new notion for the encryption scheme on which a concrete KEM at hand is based.

This note offers a trade-off between [HHM22] and its predecessors: it offers a bound for both rejection variants, being mostly based on [HHM22], but uses a more established correctness notion.

ePrint: https://eprint.iacr.org/2023/1811

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