LegRoast: Efficient Post-quantum Signatures from the Legendre PRF

Autor: Ward Beullens, Cyprien Delpech de Saint Guilhem
Jazyk: angličtina
Předmět:
Zdroj: Lecture Notes in Computer Science
Lecture Notes in Computer Science-Post-Quantum Cryptography
Post-Quantum Cryptography-11th International Conference, PQCrypto 2020, Paris, France, April 15–17, 2020, Proceedings
Post-Quantum Cryptography ISBN: 9783030442224
PQCrypto
ISSN: 0302-9743
1611-3349
DOI: 10.1007/978-3-030-44223-1_8
Popis: We introduce an efficient post-quantum signature scheme that relies on the one-wayness of the Legendre PRF. This “LEGendRe One-wAyness SignaTure” (LegRoast) builds upon the MPC-in-the-head technique to construct an efficient zero-knowledge proof, which is then turned into a signature scheme with the Fiat-Shamir transform. Unlike many other Fiat-Shamir signatures, the security of LegRoast can be proven without using the forking lemma, and this leads to a tight (classical) ROM proof. We also introduce a generalization that relies on the one-wayness of higher-power residue characters; the “POwer Residue ChaRacter One-wAyness SignaTure” (PorcRoast).
Databáze: OpenAIRE