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IEEE Transactions on Dependable and Secure Computing

A Non-Interactive Identity-Based Multi-Signature Scheme on Lattices With Public Key Aggregation

Xinjian Chen, Jianye Huang, Kaifeng Xiao, Hongbo Li, Qiong Huang

Published Feb 19, 2025• 9 citations
Publisher

Abstract

Due to limited computational and storage capabilities, wireless medical sensor networks (WMSN) encounter considerable overhead in processing the storage and verification of numerous signatures. Multi-signatures allow a group of signers to produce a single, compact signature on the same message, significantly reducing storage requirements and communication bandwidth in WMSN. However, conventional multi-signature schemes are not quantum resistant, as their security assumptions will be compromised with the quick advancement in quantum computing. Alternatively, lattice-based cryptography is widely considered capable of withstanding quantum computing attacks. In this article, we introduce a quantum-resistant and non-interactive identity-based multi-signature scheme from lattices with public key aggregation (IBMS-pka). By leveraging the small integer solution (SIS) assumption, our scheme is proven secure within the random oracle model. Besides, our scheme enables users to choose their system identities (e.g., physical IP address or email address) as public keys compared to PKI-based schemes, and avoids the extra communication costs in contrast to interactive schemes. Meanwhile, our scheme outperforms other related works according to our experiments. Specifically, the multi-signature generation has a slightly higher efficiency compared to other related schemes, while the multi-signature verification has a larger enhancement. Moreover, the performance improvement becomes more evident as the number of signers grows.

DOI
10.1109/tdsc.2025.3543425

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Due to limited computational and storage capabilities, wireless medical sensor networks (WMSN) encounter considerable overhead in processing the storage and verification of numerous signatures. Multi-signatures allow a group of signers to produce a single, compact signature on the same message, significantly reducing storage requirements and communication bandwidth in WMSN. However, conventional multi-signature schemes are not quantum resistant, as their security assumptions will be compromised with the quick advancement in quantum computing. Alternatively, lattice-based cryptography is widely considered capable of withstanding quantum computing attacks. In this article, we introduce a quantum-resistant and non-interactive identity-based multi-signature scheme from lattices with public key aggregation (IBMS-pka). By leveraging the small integer solution (SIS) assumption, our scheme is proven secure within the random oracle model. Besides, our scheme enables users to choose their system identities (e.g., physical IP address or email address) as public keys compared to PKI-based schemes, and avoids the extra communication costs in contrast to interactive schemes. Meanwhile, our scheme outperforms other related works according to our experiments. Specifically, the multi-signature generation has a slightly higher efficiency compared to other related schemes, while the multi-signature verification has a larger enhancement. Moreover, the performance improvement becomes more evident as the number of signers grows.
The aggregate signature is a special signature mode widely used in the wireless medical sensor network. The aggregate signature can reduce bandwidth and storage space in this sensor network by aggregating multiple signatures from different signers into a short signature. Traditional aggregate signature protocols based on the discrete logarithm problem and the great integer factorization problem cannot resist quantum attacks. In this article, we propose a new noninteractive identity-based aggregate signature protocol from lattices. We prove that the proposed protocol is secure in the quantum random oracle model. Additionally, the performance of the proposed protocol is much better than most previous protocols according to our experiment. Meanwhile, the size of the aggregate signature in our protocol is a logarithmic function of the number of signatures being aggregated.
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.
An aggregate signature turns multi-message multi-authentication into multi-message single-authentication, reducing the required storage space, transmission cost, and number of verification calculations, and is suitable for fast message authentication in the big data era, particularly in wireless sensor networks and secure email systems. Many aggregate signature schemes have been proposed, including lattice-based ones, which have good resistance to quantum machine attacks. However, the existing lattice-based aggregate signature schemes, which either have strict requirements on the signing order or encounter security risks, are not suitable for the unordered polymerization environment. In this paper, we accordingly propose a lattice-based unordered aggregate signature scheme. The proposed scheme makes use of the intersection method and solves the unordered aggregate problem of lattice signatures with different public keys. Therefore, it avoids both the signing order limitation and the risk of single signature forgery. Furthermore, the scheme follows the improved security model; hence, it is robust against collusion attacks. In addition, the scheme's security depends on the small integer solution problem, which enables the scheme to resist quantum algorithm attacks.
With the development of wireless sensor networks, IoT devices are crucial for the Smart City; these devices change people's lives such as e-payment and e-voting systems. However, in these two systems, the state-of-art authentication protocols based on traditional number theory cannot defeat a quantum computer attack. In order to protect user privacy and guarantee trustworthy of big data, we propose a new identity-based blind signature scheme based on number theorem research unit lattice, this scheme mainly uses a rejection sampling theorem instead of constructing a trapdoor. Meanwhile, this scheme does not depend on complex public key infrastructure and can resist quantum computer attack. Then we design an e-payment protocol using the proposed scheme. Furthermore, we prove our scheme is secure in the random oracle, and satisfies confidentiality, integrity, and non-repudiation. Finally, we demonstrate that the proposed scheme outperforms the other traditional existing identity-based blind signature schemes in signing speed and verification speed, outperforms the other lattice-based blind signature in signing speed, verification speed, and signing secret key size.
Blind signature allows a user to get a signature of a signer on an arbitrary message, and the verifier can convince that the signature is indeed signed by the signer without leaking any information about the message. This property is necessary when the user’s privacy needs protection, such as a bank bill, a trade secret, etc. As an alternative of public key infrastructure, the identity-based system can simplify the key management procedures in certificate-based public key systems. Inspired by the requirement of identity-based blind signature in the post quantum world, we research on identity-based blind signature based on hard lattice problems under the random Oracle model. We propose a construction built upon the blind signature by Rückert, and it is proved to be one-more unforgeable against selective identity and chosen message attacks (sID-CMA) and unconditionally blind. The proposed scheme has 2 moves, and its security can be reduced to the small integer solution (SIS) problem.