Remove Key Escrow from The Identity-Based Encryption System

Key escrow is an inherent property in the current proposed Identity-Based Encryption (IBE) systems. However the key escrow is not always a good property for all applications. In this paper, we present a scheme which removes the key escrow from the IBE system proposed by Bonch and Franklin, while at the same time maintaining some important properties of the IBE. We also present some cryptosystems based on our variant including a signature scheme and an authenticated key agreement. We finally show how to integrate our scheme into a hierarchial identity based public key encryption system and a key-insulated system.