Keywords: attice, identity based encryption, forward security, random oracle model, learning with error (LWE).
Protecting secret keys is crucial for cryptography. There are some relatively insecure devices (smart
cards, mobile phones etc.) which have threat of key exposure. The goal of the forward security is to
protect security of past uses of key even if the current secret key is exposed. In this paper we propose
lattice based forward-secure identity based encryption scheme based on LWE assumption in random
oracle model. We also propose lattice based forward-secure identity based encryption scheme in the