Biblio

In the fast growing world using new Cloud computing technology. In the terms of Sensitive Data Access from the remote cloud computing storage with different users using security measures to avoid the unauthorized users. Even though so many uses in the Cloud, it leads to lot of issues such as in the Data Access of the sensitive data and encryption still remain challenging. To overcome with these issues, In this novel paper focus on multiple attribute-based encryption which features the data access in secured way with different users in the Cloud Data. The proposed system enables on secure Data Access by using the MABE scheme.

The modular exponentiation is an important operation for cryptographic transformations in public key cryptosystems like the Rivest, Shamir and Adleman, the Difie and Hellman and the ElGamal schemes. computing ax mod n and axby mod n for very large x,y and n are fundamental to the efficiency of almost all pubic key cryptosystems and digital signature schemes. To achieve high level of security, the word length in the modular exponentiations should be significantly large. The performance of public key cryptography is primarily determined by the implementation efficiency of the modular multiplication and exponentiation. As the words are usually large, and in order to optimize the time taken by these operations, it is essential to minimize the number of modular multiplications. In this paper we are presenting efficient algorithms for computing ax mod n and axbymod n. In this work we propose four algorithms to evaluate modular exponentiation. Bit forwarding (BFW) algorithms to compute ax mod n, and to compute axby mod n two algorithms namely Substitute and reward (SRW), Store and forward(SFW) are proposed. All the proposed algorithms are efficient in terms of time and at the same time demands only minimal additional space to store the pre-computed values. These algorithms are suitable for devices with low computational power and limited storage.