Creation of smart spaces and scaling of devices to achieve miniaturization in pervasive computing environments has put forth a question on the degree of security of such devices. Security being a unique challenge in such environments, solution demands scalability, access control, heterogeneity, trust. Most of the existing cryptographic solutions widely in use rely on the hardness of factorization and number theory problems. With the increase in cryptanalytic attacks these schemes will soon become insecure. We need an alternate security mechanism which is as hard as the existing number theoretic approaches. In this work, we discuss the aspects of Lattice based cryptography as a new dimension of providing security whose strength lies in the hardness of lattice problems. We discuss about a cryptosystem whose security relies on high lattice dimension.