An empirical sweep shows LLL and BKZ solve small LWE-derived shortest vector problems with probability that falls with key length and rises with modulus, and the feasible key length grows logarithmically with the modulus.
FIPS 203, Module-Lattice-Based Key-Encapsulation Mechanism Standard,
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A parameter study for LLL and BKZ with application to shortest vector problems
An empirical sweep shows LLL and BKZ solve small LWE-derived shortest vector problems with probability that falls with key length and rises with modulus, and the feasible key length grows logarithmically with the modulus.