[Resource Topic] 2025/1997: Provable decryption failure security for practical lattice-based PKE

Welcome to the resource topic for 2025/1997

Title:
Provable decryption failure security for practical lattice-based PKE

Authors: Christian Majenz, Fabrizio Sisinni

Abstract:

Recently, Hövelmanns, Hülsing, and Majenz introduced a security notion called Find Failing Plaintext – Non Generic (FFP-NG), which captures the ability of an adversary to find decryption failures by making non-trivial use of the public key. A first analysis of this property for lattice-based schemes was presented by Majenz and Sisinni, who showed that the Learning With Errors (LWE) problem reduces to breaking the FFP-NG security of the PVW scheme with discrete Gaussian noise. In this work, we generalize their result by analysing the FFP-NG security of widely used schemes based on Ring-LWE and Module-LWE. To keep our analysis as general as possible, we consider a family of subgaussian distributions that includes, among others, discrete Gaussians
and centered binomials.

ePrint: https://eprint.iacr.org/2025/1997

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