Paper 2025/2312

Anamorphic Signatures With Dictator and Recipient Unforgeability for Long Messages

Amit Deo, Zama, France
Benoit Libert, Zama, France
Abstract

Anamorphic signatures (Kutylowski {\it et al.}, Crypto'23) provide a way to covertly use encryption by hiding ciphertexts inside digital signatures without a dictator noticing. Recently (Asiacrypt'24), Jaeger and Stracovsky advocated stronger security notions for the primitive. Their notion of dictator unforgeability requires a dictator's inability to produce fresh signatures that decrypt to a meaningful covert message. The notion of recipient unforgeability requires that anamorphic receivers cannot forge signatures even after having observed anamorphic signatures on messages of their choice. To date, the known schemes satisfying all these properties simultaneously rely on the "randomness replacement" technique. As a result, they are restricted to short anamorphic messages either because their anamorphic decryption mechanism involves an exhaustive search step, or because they embed the anamorphic plaintext in a public random salt (which is typically short in compatible signature schemes like RSA-PSS). In this paper, we present anamorphic signatures that depart from the randomness replacement paradigm and make it possible to encrypt longer anamorphic plaintexts. We show that (generalized) Okamoto-Schnorr signatures, as well as GQ and $2^t$-root signatures all have anamorphic modes satisfying the three desired security properties. The ratio between the lengths of anamorphic plaintexts and signatures can even be very close to $1$ for appropriate parameters. We also discuss an extension to Lyubashevsky's lattice-based signatures.

Note: Full version

Metadata
Available format(s)
PDF
Category
Public-key cryptography
Publication info
A minor revision of an IACR publication in ASIACRYPT 2025
DOI
10.1007/978-981-95-5119-4_12
Keywords
Anamorphic cryptographysignaturesencryption
Contact author(s)
amit deo @ zama ai
benoit libert @ zama ai
History
2025-12-29: approved
2025-12-23: received
See all versions
Short URL
https://ia.cr/2025/2312
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2025/2312,
      author = {Amit Deo and Benoit Libert},
      title = {Anamorphic Signatures With Dictator and Recipient Unforgeability for Long Messages},
      howpublished = {Cryptology {ePrint} Archive, Paper 2025/2312},
      year = {2025},
      doi = {10.1007/978-981-95-5119-4_12},
      url = {https://eprint.iacr.org/2025/2312}
}
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