Biblio

The problem of securely outsourcing computation has received widespread attention due to the development of cloud computing and mobile devices. In this paper, we first propose a secure verifiable outsourcing algorithm of single modular exponentiation based on the one-malicious model of two untrusted servers. The outsourcer could detect any failure with probability 1 if one of the servers misbehaves. We also present the other verifiable outsourcing algorithm for multiple modular exponentiations based on the same model. Compared with the state-of-the-art algorithms, the proposed algorithms improve both checkability and efficiency for the outsourcer. Finally, we utilize the proposed algorithms as two subroutines to achieve outsource-secure polynomial evaluation and ciphertext-policy attributed-based encryption (CP-ABE) scheme with verifiable outsourced encryption and decryption.