The LLL algorithm takes as input a basis of a Euclidean lattice, and, within a polynomial number of operations, it outputs another basis of the same lattice but consisting of rather short vectors. We provide a generalization to R-modules contained in for arbitrary number fields K and dimension...
iLLL algorithmReuse techniqueIn this paper, we propose a lattice reduction algorithm for use with NTRU lattices. Given an NTRU lattice as its input, the algorithm computes an LLL-reduced basis. The proposed lattice reduction algorithm is more efficient than the classical LLL algorithm. Recently, ...
Two late (post-key) systems (contrastive-2 and contrastive-3, trained on the same datasets as the primary and contrastive-1 systems, respectively) were also submitted to the evaluation, yielding improved performance thanks to a kernel modification in the dynamic programming algorithm which provided ...
Following this, we can represent each room within a zone in the network through subspacing for Level 3. This method entails a partial subdivision method suitable for convex shapes like hallways, such as the SMAT algorithm. As discussed in the previous section, subspacing at this level already ...