ABSTRACT. We study the algorithmic complexity of lattice problems based on Ajtai-Kumar-Sivakumar sieving technique [AKS01]. Given a k-dimensional subspace M ⊆ Rn and a full rank ...
We give an algorithm for solving the exact Shortest Vector Problem in n-dimensional lattices, in any norm, in deterministic 2O(n) time (and space), given poly(n)-sized advice that...
We present new faster algorithms for the exact solution of the shortest vector problem in arbitrary lattices. Our main result shows that the shortest vector in any n-dimensional l...
We present the state of the art solvers of the Shortest and Closest Lattice Vector Problems in the Euclidean norm. We recall the three main families of algorithms for these problem...