Improved Attacks on LowMC with Algebraic Techniques

Abstract: The LowMC family of SPN block cipher proposed by Albrecht et al. was designed specifically for MPC-/FHE-/ZKP-friendly use cases. It is especially used as the underlying block cipher of PICNIC, one of the alternate third-round candidate digital signature algorithms for NIST post-quantum cryptography standardization. The security of PICNIC is highly related to the difficulty of recovering the secret key of LowMC from a given plaintext/ciphertext pair, which raises new challenges for security evaluation under extremely low data complexity. In this paper, we improve the attacks on LowMC under low data complexity, i.e. 1 or 2 chosen plaintext/ciphertext pairs. For the difference enumeration attack with 2 chosen plaintexts, we propose new algebraic methods to better exploit the nonlinear relation inside the introduced variables based on the attack framework proposed by Liu et al. at ASIACRYPT 2022. With this technique, we significantly extend the number of attack rounds for LowMC with pa.... https://tosc.iacr.org/index.php/ToSC/article/view/11283

Location
Deutsche Nationalbibliothek Frankfurt am Main
Extent
Online-Ressource
Language
Englisch

Bibliographic citation
Improved Attacks on LowMC with Algebraic Techniques ; volume:2023 ; number:4 ; year:2023
IACR transactions on symmetric cryptology ; 2023, Heft 4 (2023)

Creator
Sun, Yimeng
Cui, Jiamin
Wang, Meiqin

DOI
10.46586/tosc.v2023.i4.143-165
URN
urn:nbn:de:101:1-2023122717553801822818
Rights
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Last update
15.08.2025, 7:32 AM CEST

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Associated

  • Sun, Yimeng
  • Cui, Jiamin
  • Wang, Meiqin

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