Research

Provable Subexponential Algorithms for NIST Third-Round Lattice Families

Provable subexponential classical algorithms for NIST lattice families (ML-KEM, ML-DSA, and others) don't threaten deployed parameters today but underscore the need for cryptographic agility in post-quantum migration plans.

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Filed by arXiv Crypto & Security9 October 20261 min readRead at source ↗

arXiv:2610.11254v1 Announce Type: new Abstract: We give provable classical subexponential algorithms for secret recovery in growing parameter families associated with NIST third-round lattice candidates. For the Kyber/ML-KEM, FrodoKEM, SABER, NTRU LPRime, and Dilithium/ML-DSA families studied here, polynomial moduli and polylogarithmic coefficient scales yield recovery of the short secret component in expected time and space $2^{(1/2+o(1))n/\ln\ln n}$. For noisy or rounded linear relations, w

Editorial Analysis

Why it matters

Although current NIST parameter sizes remain safe, advancing classical attacks against lattice assumptions reinforce the business case for cryptographic agility in any post-quantum transition.

What to do

Review your post-quantum migration roadmap to confirm it supports algorithm substitution should lattice parameter guidance change.

Board brief

New research narrows theoretical safety margins of NIST post-quantum standards — no immediate risk, but cryptographic agility should be a board-level migration requirement.

Forward-looking interpretation drafted by editorial AI under human review — not a reproduction of the source. See methodology.

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