NoMod: A Non-modular Attack on Module Learning With Errors

The advent of quantum computing threatens classical public-key cryptography, motivating NIST's adoption of post-quantum schemes such as those based on the Module Learning With Errors (Module-LWE) problem. We present NoMod ML-Attack, a hybrid white-box cryptanalytic method that circumvents the challenge of modeling modular reduction by treating wrap-arounds as statistical corruption and casting secret recovery as robust linear estimation. Our approach combines optimized lattice preprocessing--including reduced-vector saving and algebraic amplification--with robust estimators trained via Tukey's Biweight loss. Experiments show NoMod achieves full recovery of binary secrets for dimension n = 350, recovery of sparse binomial secrets for n = 256, and successful recovery of sparse secrets in CRYSTALS-Kyber settings with parameters (n, k) = (128, 3) and (256, 2). We release our implementation in an anonymous repository https://anonymous.4open.science/r/NoMod-3BD4.