Provable Dual Attacks on Learning with Errors

ePrint Report: Provable Dual Attacks on Learning with Errors

Amaury Pouly, Yixin Shen

Learning with Errors (LWE) is an important problem for post-quantum cryptography (PQC) that underlines the security of several NIST PQC selected algorithms. Several recent papers have claimed improvements on the complexity of so-called dual attacks on LWE. These improvements make dual attacks comparable to or even better than primal attacks in certain parameter regimes. Unfortunately, those improvements rely on a number of untested and hard-to-test statistical assumptions. …

algorithms attacks called complexity cryptography eprint report errors important nist nist pqc papers post-quantum post-quantum cryptography pqc problem quantum quantum cryptography report security