A publicly verifiable secret sharing （PVSS） scheme is a verifiable secret sharing scheme with the special property that anyone is able to verify the shares whether they are correctly distributed by a dealer. PVSS pl...A publicly verifiable secret sharing （PVSS） scheme is a verifiable secret sharing scheme with the special property that anyone is able to verify the shares whether they are correctly distributed by a dealer. PVSS plays an important role in many applications such as electronic voting, payment systems with revocable anonymity, and key escrow. Up to now, all PVSS schemes are based on the traditional public-key systems. Recently, the pairing-based cryptography has received much attention from cryp- tographic researchers. Many pairing-based schemes and protocols have been proposed. However, no PVSS scheme using bilinear pairings is proposed. This paper presents the first pairing-based PVSS scheme. In the random oracle model and under the bilinear Diffie-HeUman assumption, the authors prove that the proposed scheme is a secure PVSS scheme.展开更多
Democratic group signatures （DGSs） attract many researchers due to their appealing properties, i.e., anonymity, traceability and no group manager. Security results of existing work are based on decisional Diffie-Hel...Democratic group signatures （DGSs） attract many researchers due to their appealing properties, i.e., anonymity, traceability and no group manager. Security results of existing work are based on decisional Diffie-Hellman （DDH） assumption. In this paper, we present a democratic group signature scheme based on any gap Diffie-Hellman （GDH） group where DDH problem is easily but computational Diffe-Hellman （CDH） problem is hard to be solved. Besides the properties of ordinary DGSs, our scheme also provides the property of linkability, i.e., any public verifier can tell whether two group signatures are generated using the same private key. Security properties of our scheme employ a new and independently interesting decisional product Diffie-Hellman （DPDH） assumption which is weaker than DDH one.展开更多
文摘A publicly verifiable secret sharing （PVSS） scheme is a verifiable secret sharing scheme with the special property that anyone is able to verify the shares whether they are correctly distributed by a dealer. PVSS plays an important role in many applications such as electronic voting, payment systems with revocable anonymity, and key escrow. Up to now, all PVSS schemes are based on the traditional public-key systems. Recently, the pairing-based cryptography has received much attention from cryp- tographic researchers. Many pairing-based schemes and protocols have been proposed. However, no PVSS scheme using bilinear pairings is proposed. This paper presents the first pairing-based PVSS scheme. In the random oracle model and under the bilinear Diffie-HeUman assumption, the authors prove that the proposed scheme is a secure PVSS scheme.
基金the National Natural Science Foundation of China (Nos. 60703031, 60703004, 60673076)
文摘Democratic group signatures （DGSs） attract many researchers due to their appealing properties, i.e., anonymity, traceability and no group manager. Security results of existing work are based on decisional Diffie-Hellman （DDH） assumption. In this paper, we present a democratic group signature scheme based on any gap Diffie-Hellman （GDH） group where DDH problem is easily but computational Diffe-Hellman （CDH） problem is hard to be solved. Besides the properties of ordinary DGSs, our scheme also provides the property of linkability, i.e., any public verifier can tell whether two group signatures are generated using the same private key. Security properties of our scheme employ a new and independently interesting decisional product Diffie-Hellman （DPDH） assumption which is weaker than DDH one.
