Can one use lattice basis reduction algorithms, such as LLL over (low-rank) module lattices over rings of number fields of degree greater than 1? Is there any work on lattice reductions over Euclidean rings (for example, using BKZ, lattice enumeraiton, etc)?



Lattice basis reduction over rings of number fields
Apparently, this was studied in the following work: <https://eprint.iacr.org/2019/1035>


