Constructing Identity-based Cryptographic Scheme for Qer Cryptosystem

Abstract: In 1984, Shamir proposed the concept of the identity-based cryptosystem. Instead of generating and publishing a public key for each user, the identity-based scheme permits each user to choose his name or network address as his public key. This is advantageous to public-key cryptosystems because the public-key verification is so easy and direct.This paper proposes a new identitybased cryptographic scheme for implementing public-key cryptosystem based on quadratic exponentiation randomized cryptosystem.The major advantage of the identity-based cryptosystem based on our scheme over other published identity-based cryptosystems is that the number of users can be extended to b ∗ L users without degrading the system’s security even when users cospire, where L is the number of the system’s secrets and b is the number of factors in N − 1.