Abstract. We describe a public-key encryption scheme based on lattices — specifically, based on the hardness of the learning with error (LWE) problem — that is secure against ...
We give the first representation-independent hardness results for PAC learning intersections of halfspaces, a central concept class in computational learning theory. Our hardness ...
High complexity of lattice construction algorithms and uneasy way of visualising lattices are two important problems connected with the formal concept analysis. Algorithm complexi...
We present reductions from lattice problems in the 2 norm to the corresponding problems in other norms such as 1, (and in fact in any other p norm where 1 p ). We consider latt...
Existing undecidability proofs of checking secrecy of cryptographic protocols have the limitations of not considering protocols common in literature, which are in the form of comm...