Noninteractive Verifiable Outsourcing Algorithm for Bilinear Pairing with Improved Checkability

It is well known that the computation of bilinear pairing is the most expensive operation in pairing-based cryptography. In this paper, we propose a noninteractive verifiable outsourcing algorithm of bilinear pairing based on two servers in the one-malicious model. The outsourcer need not execute any expensive operation, such as scalar multiplication and modular exponentiation. Moreover, the outsourcer could detect any failure with a probability close to 1 if one of the servers misbehaves. Therefore, the proposed algorithm improves checkability and decreases communication cost compared with the previous ones. Finally, we utilize the proposed algorithm as a subroutine to achieve an anonymous identity-based encryption (AIBE) scheme with outsourced decryption and an identity-based signature (IBS) scheme with outsourced verification

Efficient Algorithms for Secure Outsourcing of Bilinear Pairings

The computation of bilinear pairings has been considered the most expensive operation in pairing-based cryptographic protocols. In this paper, we first propose an efficient and secure outsourcing algorithm for bilinear pairings in the two untrusted program model. Compared with the state-of-the-art algorithm, adistinguishing property of our proposed algorithm is that the (resource-constrained) outsourcer is not required to perform any expensive operations, such as point multiplications or exponentiations. Furthermore, we utilize this algorithm as a subroutine to achieve outsource-secure identity-based encryptions and signatures