[2605.17412] Module Lattice Security (Part IV): Probabilistic Polynomial Quantum Attack on Module-LWE over 2-Power Cyclotomics
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Quantum Physics
arXiv:2605.17412 (quant-ph)
[Submitted on 17 May 2026]
Title:Module Lattice Security (Part IV): Probabilistic Polynomial Quantum Attack on Module-LWE over 2-Power Cyclotomics
Authors:Ming-Xing Luo<br>View a PDF of the paper titled Module Lattice Security (Part IV): Probabilistic Polynomial Quantum Attack on Module-LWE over 2-Power Cyclotomics, by Ming-Xing Luo
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Abstract:We present a quantum attack on ML-KEM and related 2-power cyclotomic lattice schemes. Combining with Parts I-III, we provide an algorithm and verify the resulting approximation factor satisfies $\gamma \le 21
Comments:<br>24 pages. You have to read previous three parts (Parts I, II, III) before understanding the details of this part. You may test if you want to or you have question
Subjects:
Quantum Physics (quant-ph); Cryptography and Security (cs.CR); Combinatorics (math.CO); Rings and Algebras (math.RA)
Cite as:<br>arXiv:2605.17412 [quant-ph]
(or<br>arXiv:2605.17412v1 [quant-ph] for this version)
https://doi.org/10.48550/arXiv.2605.17412
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arXiv-issued DOI via DataCite (pending registration)
Submission history<br>From: Mingxing Luo [view email]<br>[v1]<br>Sun, 17 May 2026 12:16:04 UTC (29 KB)
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