Paper 2024/400 Original: eprint.iacr.org/2024/400 ↗

SILBE: an Updatable Public Key Encryption Scheme from Lollipop Attacks

Max Duparc
Tako Boris Fouotsa
Serge Vaudenay
Abstract

We present a new post-quantum Public Key Encryption scheme (PKE) named Supersingular Isogeny Lollipop Based Encryption or SILBE. SILBE is obtained by leveraging the generalised lollipop attack of Castryck and Vercauteren on the M-SIDH Key exchange by Fouotsa, Moriya and Petit. Doing so, we can in fact make SILBE a post-quantum secure Updatable Public Key Encryption scheme (UPKE). SILBE is in fact the first isogeny-based UPKE which is not based on group actions. Hence, SILBE overcomes the limitations highlighted by Eaton, Jao, Komlo and Mokrani at SAC'21 regarding the design of an SIDH-style UPKE. This is possible by leveraging both the Deuring Correspondence and Kani's Lemma, two central concepts in Isogeny-Based Cryptography.

Metadata
Available format(s)
PDF
Category
Public-key cryptography
Publication info
Preprint.
History
2024-07-31: last updated
2024-03-05: published
Short URL
https://ia.cr/2024/400
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2024/400,
      author = {Max Duparc and Tako Boris Fouotsa and Serge Vaudenay},
      title = {SILBE: an Updatable Public Key Encryption Scheme from Lollipop Attacks},
      howpublished = {Cryptology {ePrint} Archive, Paper 2024/400},
      year = {2024},
      url = {https://eprint.iacr.org/2024/400}
}
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