If by "this kind of approach" you mean lattice tools, then I think the answer is yes. See the link below for an example in the Wikipedia page on the LLL. Also

If by "this kind of approach" you mean lattice tools, then I think the answer is yes. See the link below for an example in the Wikipedia page on the LLL. Also the second link may be helpful https://en.wikipedia.org/wiki/Lenstra%E2%80%93Lenstra%E2%80%93Lov%C3%A1sz_lattice_basis_reduction_algorithm#Applications https://en.wikipedia.org/wiki/Lenstra%E2%80%93Lenstra%E2%80%... https://eprint.iacr.org/2023/032.pdf https://eprint.iacr.org/2023/032.pdf