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International Conference on Future Information Technology and Management Engineering

Security analysis on a verifiably encrypted signature scheme

Li Yong-qiang, Xin Xiang-jun

Published Oct 1, 2010• 0 citations
Publisher

Abstract

Recently, a randomized verifiably encrypted signature scheme without random oracle is proposed by Yang et al. However, according to the security analysis, it is found that given two signatures on a message, the adversary can forge a new signature on the same message. Therefore, their scheme has not the propriety of undenibility, which means that their scheme is insecure. Because a verifiably encrypted signature scheme is mainly used to construct the optimistic fair exchange protocols, it should have the strong unforgerity.

DOI
10.1109/fitme.2010.5654735

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Recently, a randomized verifiably encrypted signature scheme without random oracle is proposed by Yang et al. However, according to the security analysis, it is found that given two signatures on a message, the adversary can forge a new signature on the same message. Therefore, their scheme has not the propriety of undenibility, which means that their scheme is insecure. Because a verifiably encrypted signature scheme is mainly used to construct the optimistic fair exchange protocols, it should have the strong unforgerity.
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Abstract The RSA signature scheme is one of the most popular signature schemes to date. This paper proposes a certificate‐based verifiably encrypted RSA signature scheme that is the first to accomplish optimistic fair exchange of the standard RSA signatures. The main characteristic of this scheme is that the signer can unilaterally choose a certificate authority as his/her adjudicator in fair exchange. Then a certificate, or generally, a signature, acts not only as the binding of the public key and its holder but also as the certificate authority's guarantee against partiality in adjudication. We introduce a strong security model, in which there are three types of inside adversaries with more power than outside adversaries in previous verifiably encrypted RSA signature schemes. We then show that the proposed scheme is existentially unforgeable under the Discrete Logarithm (DL) assumption, the Computational Diffile‐Dellman (CDH) assumption, and the RSA assumption in the random oracle model. Because the proposed scheme can be directly used in the current Public‐Key Infrastructure (PKI) environment, it is more practical and trustworthy than the previous schemes in the real world. Copyright © 2013 John Wiley & Sons, Ltd.
ID-based public key cryptography can be a good alternative for certificate-based public key setting,especially when efficient key management and moderate security are required.This paper proposes a primitive called mixed verifiably encrypted signature scheme(MVESS) and presents an efficient MVESS based on the ID-based signature scheme due to Cheon,et.al.Then,we provide some theoretical discussions for the security model for MVESSs,and show that our new scheme can be proven to secure with the hardness assumption of the computational Diffie-Hellman problem of pairings in the random oracle model.Our new scheme can be used as blocks to build efficient ID-based optimistic fair signature exchange protocols,which can be widely used in signing digital contracts,e-payment and other electronic commerce.
In PODC 2003, Park, Chong, Siegel and Ray [22] proposed an optimistic protocol for fair exchange, based on RSA signatures. We show that their protocol is totally breakable already in the registration phase: the honest-but-curious arbitrator can easily determine the signer's secret key.On a positive note, the authors of [22] informally introduced a connection between fair exchange and "sequential two-party multisignature schemes" (which we call two-signatures), but used an insecure two-signature scheme in their actual construction. Nonetheless, we show that this connection can be properly formalized to imply provably secure fair exchange protocols. By utilizing the state-of-the-art non-interactive two-signature of Boldyreva [6], we obtain an efficient and provably secure (in the random oracle model) fair exchange protocol, which is based on GDH signatures [9].Of independent interest, we introduce a unified model for non-interactive fair exchange protocols, which results in a new primitive we call verifiably committed signatures. Verifiably committed signatures generalize (non-interactive) verifiably encrypted signatures [8] and two-signatures, both of which are sufficient for fair exchange.