NEW IDENTITY-BASED CRYPTOGRAPHIC SCHEME FOR IFP AND DLP BASED CRYPTOSYSTEM
Chandrashekhar Y. Meshram, Xiaoxu Huang, Suchitra A. Meshram · International Journal of Pure and Apllied Mathematics · 2012
In 1984, Shamir proposed the concept of the identity-based cryp- tosystem. 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 identity-based cryptographic scheme for implementing public-key cryp- tosystem under the security assumptions of integer factorization problem(IFP) and discrete logarithm problem(DLP). 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 a∗L users with- out degrading the system's security even when users cospire, where L is the number of the system's secrets and a is the number of factors in N − 1.