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Strong Existential Unforgeability and More of MPC-in-the-Head Signatures
Mukul Kulkarni, Keita Xagawa
Public-key cryptography
NIST started the standardization of additional post-quantum signatures in 2022. Among 40 candidates, a few of them showed their stronger security than existential unforgeability, strong existential unforgeability and BUFF (beyond unforgeability features) securities. Recently, Aulbach, Düzlü, Meyer, Struck, and Weishäupl (PQCrypto 2024) examined the BUFF securities of 17 out of 40 candidates. Unfortunately, on the so-called MPC-in-the-Head (MPCitH) signature schemes, we have no knowledge of...
On round elimination for special-sound multi-round identification and the generality of the hypercube for MPCitH
Andreas Hülsing, David Joseph, Christian Majenz, Anand Kumar Narayanan
Public-key cryptography
A popular way to build post-quantum signature schemes is by first constructing an identification scheme (IDS) and applying the Fiat-Shamir transform to it. In this work we tackle two open questions related to the general applicability of techniques around this approach that together allow for efficient post-quantum signatures with optimal security bounds in the QROM.
First we consider a recent work by Aguilar-Melchor, Hülsing, Joseph, Majenz, Ronen, and Yue (Asiacrypt'23) that showed...
Dual Support Decomposition in the Head: Shorter Signatures from Rank SD and MinRank
Loïc Bidoux, Thibauld Feneuil, Philippe Gaborit, Romaric Neveu, Matthieu Rivain
Public-key cryptography
The MPC-in-the-Head (MPCitH) paradigm is widely used for building post-quantum signature schemes, as it provides a versatile way to design proofs of knowledge based on hard problems. Over the years, the MPCitH landscape has changed significantly, with the most recent improvements coming from VOLE-in-the-Head (VOLEitH) and Threshold-Computation-in-the-Head (TCitH).
While a straightforward application of these frameworks already improve the existing MPCitH-based signatures, we show in...
NIST started the standardization of additional post-quantum signatures in 2022. Among 40 candidates, a few of them showed their stronger security than existential unforgeability, strong existential unforgeability and BUFF (beyond unforgeability features) securities. Recently, Aulbach, Düzlü, Meyer, Struck, and Weishäupl (PQCrypto 2024) examined the BUFF securities of 17 out of 40 candidates. Unfortunately, on the so-called MPC-in-the-Head (MPCitH) signature schemes, we have no knowledge of...
A popular way to build post-quantum signature schemes is by first constructing an identification scheme (IDS) and applying the Fiat-Shamir transform to it. In this work we tackle two open questions related to the general applicability of techniques around this approach that together allow for efficient post-quantum signatures with optimal security bounds in the QROM. First we consider a recent work by Aguilar-Melchor, Hülsing, Joseph, Majenz, Ronen, and Yue (Asiacrypt'23) that showed...
The MPC-in-the-Head (MPCitH) paradigm is widely used for building post-quantum signature schemes, as it provides a versatile way to design proofs of knowledge based on hard problems. Over the years, the MPCitH landscape has changed significantly, with the most recent improvements coming from VOLE-in-the-Head (VOLEitH) and Threshold-Computation-in-the-Head (TCitH). While a straightforward application of these frameworks already improve the existing MPCitH-based signatures, we show in...
