What Happens When Integrating Modulus Switching and Lossy Source Coding: A New Dual Attack Variant on LWE

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The threat of large-scale quantum computers to classical public-key cryptograp-hy has motivated the development of post-quantum cryptographic schemes. Among these, lattice-based constructions have become the mainstream choice in the ongoing NIST standardization process. The security of these schemes typical-ly relies on the hardness of the LWE problem, and the dual-sieve-FFT attack is widely recognized as one of the most effective approaches against it. Recent improvements by MATZOV and Carrier