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IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences

On the Security of Provably Secure Multi-Receiver ID-Based Signcryption Scheme

C.-H. TAN

Published Jul 1, 2008• 15 citations
Publisher

Abstract

Recently, Duan and Cao proposed an multi-receiver identity-based signcryption scheme. They showed that their scheme is secure against adaptive chosen ciphertext attacks in the random oracle model. In this paper, we show that their scheme is in fact not secure against adaptive chosen ciphertext attacks under their defined security model.
DOI
10.1093/ietfec/e91-a.7.1836

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Signcryption is a public-key cryptographic primitive which combines the functions of public-key encryption and digital signature into a single logical step at low computational and communication costs. While multi-receiver signcryption is suited for a situation where a sender wants to send a signcrypted message to multiple receivers in a confidential and authenticated way. Due to this attractive property, recently, multi-receiver signcryption plays an important role in some practical applications such as virtual conference as well as authenticated mail transferring. In this paper, we present an efficient multi-receiver identity-based signcryption (MIBSC) scheme from lattice assumption which is believed to resist quantum computer attacks. The proposed scheme is provably secure in the random oracle model, which has the indistinguishability against chosen ciphertext attacks under the hardness of learning with errors (LWE), and existentially unforgeability against chosen message attacks under the small integer solution assumption (SIS). Moreover, we also compare our MIBSC scheme with existing schemes from performance efficiency and security, the result shows that our proposed scheme is more efficient and more secure. In particular, our scheme can be properly applied in the post-quantum communication environments.
Signcryption is a public-key cryptographic primitive which combines the functions of public-key encryption and digital signature into a single logical step at low computational and communication costs. While multi-receiver signcryption is suited for a situation where a sender wants to send a signcrypted message to multiple receivers in a confidential and authenticated way. Due to this attractive property, recently, multi-receiver signcryption plays an important role in some practical applications such as virtual conference as well as authenticated mail transferring. In this paper, we present an efficient multi-receiver identity-based signcryption (MIBSC) scheme from lattice assumption which is believed to resist quantum computer attacks. The proposed scheme is provably secure in the random oracle model, which has the indistinguishability against chosen ciphertext attacks under the hardness of learning with errors (LWE), and existentially unforgeability against chosen message attacks under the small integer solution assumption (SIS). Moreover, we also compare our MIBSC scheme with existing schemes from performance efficiency and security, the result shows that our proposed scheme is more efficient and more secure. In particular, our scheme can be properly applied in the post-quantum communication environments.
To achieve secure communication in heterogeneous cryptography systems, we present a heterogeneous hybrid signcryption scheme. The proposed scheme allows a sender in an identity-based cryptography system to send multi-message to multi-receiver in a certificateless cryptography system with different master keys. At the same time, all users are mapped to a distinct pseudo-identity for conditional identity privacy preservation. A trusted authority could trace the real identity when necessary. Compared with existing schemes, the proposed scheme is more practical for actual applications. In addition, the proposed scheme has indistinguishability against adaptive chosen ciphertext attacks and existential unforgeability against adaptive chosen message attacks under the random oracle model.
ABSTRACT Signcryption is a cryptographic primitive that offers both confidentiality and authentication simultaneously, which combines the functionalities of signature and encryption in a provably secure manner. Indistinguishability against adaptive chosen‐ciphertext attacks (ind‐cca2) and unforgeability against adaptive chosen‐message attacks (euf‐cma2) are two important security requirements of a signcryption protocol. In a multi‐receiver signcryption with a threshold decryption scheme, the ciphertext can be decrypted and verified when arbitrary t or more receivers among the n candidate decrypters work together. Recently, Qin et al. [Security and Communication Networks, 2011] proposed an identity‐based multi‐receiver signcryption scheme with threshold decryption, and they declared that the scheme achieves ind‐cca2 and euf‐cma2 security. In this paper, we first indicate that Qin et al.'s scheme is not secure, that is, Qin et al.'s scheme is neither semantically secure against ind‐cca2 nor unforgeable against euf‐cma2. After that, we present an improved scheme to capture the security requirements. Furthermore, we construct an anonymous version that can preserve the identity privacy of the sender and receiver, and we give the performance evaluation to indicate that our scheme has lower communication overhead although it provides the identity privacy preservation. Copyright © 2012 John Wiley & Sons, Ltd.
In a multi-receiver encryption system, a sender chooses a set of authorized receivers and sends them a message securely and efficiently, as the message is well encrypted and only one ciphertext corresponding to the message is generated no matter how many receivers the sender has chosen. It can be applied to video conferencing systems, pay-per-view channels, remote education, and so forth. Due to privacy considerations, an authorized receiver may not expect that his identity is revealed. In 2010, anonymous multi-receiver identity-based (ID-based) encryption was first discussed, and furthermore, many works on the topic have been presented so far. Unfortunately, we find that all of those schemes fail to prove the chosen ciphertext attacks (CCA) security in either confidentiality or anonymity. In this manuscript, we propose the first anonymous multi-receiver ID-based authenticated encryption scheme with CCA security in both confidentiality and anonymity. In the proposed scheme, the identity of the sender of a ciphertext can be authenticated by the receivers after a successful decryption. In addition, the proposed scheme also is the first CCA-secure one against insider attacks. Moreover, only one pairing computation is required in decryption.
In this paper, we present a novel multi-receiver identity-based key encapsulation mechanism (mID-KEM) scheme which is provably secure against chosen ciphertext attacks in the standard model and has several advantages over previous constructions without random oracles, including short public parameters, short private keys, computational efficiency in decapsulation algorithm and tight security reduction. To our best knowledge, our construction is the first in the literature to achieve such a high security level (CCA-security in the full security model).