[Resource Topic] 2025/304: Lattice-based Cryptography: A survey on the security of the lattice-based NIST finalists

Welcome to the resource topic for 2025/304

Title:
Lattice-based Cryptography: A survey on the security of the lattice-based NIST finalists

Authors: Koen de Boer, Wessel van Woerden

Abstract:

This survey, mostly written in the years 2022-2023, is meant as an as short as possible description of the current state-of-the-art lattice attacks on lattice-based cryptosystems, without losing the essence of the matter.

The main focus is the security of the NIST finalists and
alternatives that are based on lattices, namely CRYSTALS-Kyber, CRYSTALS-Dilithium and Falcon. Instead of going through these cryptosystems case by case, this survey considers attacks on the underlying hardness assumptions: in the case of the mentioned lattice-based schemes, these are (variants of) LWE (Learning With Errors) and NTRU.

ePrint: https://eprint.iacr.org/2025/304

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