scholarly journals Identity-Based Linkable Ring Signature on NTRU Lattice

2021 ◽  
Vol 2021 ◽  
pp. 1-17
Author(s):  
Yongli Tang ◽  
Feifei Xia ◽  
Qing Ye ◽  
Mengyao Wang ◽  
Ruijie Mu ◽  
...  
Keyword(s):  
Random Oracle Model ◽  
Random Oracle ◽  
Small Integer ◽  
Rejection Sampling ◽  
Signature Schemes ◽  
Ring Signature ◽  
Storage Overhead ◽  
Signature Generation ◽  
Identity Based ◽  
And Storage

Although most existing linkable ring signature schemes on lattice can effectively resist quantum attacks, they still have the disadvantages of excessive time and storage overhead. This paper constructs an identity-based linkable ring signature (LRS) scheme over NTRU lattice by employing the technologies of trapdoor generation and rejection sampling. The security of this scheme relies on the small integer solution (SIS) problem on NTRU lattice. We prove that this scheme has unconditional anonymity, unforgeability, and linkability under the random oracle model (ROM). Through the performance analysis, this scheme has a shorter size of public/private keys, and when the number of ring members is small (such as N ≤ 8 ), this scheme has a shorter signature size compared with other existing latest lattice-based LRS schemes. The computational efficiency of signature has also been further improved since it only involves multiplication in the polynomial ring and modular operations of small integers. Finally, we implemented our scheme and other similar schemes, and it is shown that the time for the signature generation and verification of this scheme decreases roughly by 44.951% and 33.503%, respectively.

scholarly journals Fuzzy Identity-Based Ring Signature from Lattices

2021 ◽  
Vol 2021 ◽  
pp. 1-9
Author(s):  
Chengtang Cao ◽  
Lin You ◽  
Gengran Hu
Keyword(s):  
Large Scale ◽  
Quantum Computer ◽  
Random Oracle Model ◽  
Random Oracle ◽  
Small Integer ◽  
Ring Signature ◽  
Computer Attacks ◽  
Identity Based ◽  
The One ◽  
Fuzzy Identity

In this paper, a construction of a fuzzy identity-based ring signature scheme (LFIBRS) is proposed. Our LFIBRS combines the characteristics of both the fuzzy identity-based signature (FIBS) and the ring signature. On the one hand, a signature issued under an identity ID can be verified by any identity ID ′ that is “close enough” to the identity ID . Since biometric identification is the well-known most popular and reliable identification method, our LFIBRS can be applied in such a situation whenever it is required for official audit or supervision that the signer’s real identity is needed to be authenticated. On the other hand, LFIBRS provides anonymity under the random oracle model. In addition, LFIBRS provides unforgeability under the small integer solution (SIS) lattice hardness assumption which can resist large-scale quantum computer attacks in the future.

Secure and Efficient Certificateless Signature and Blind Signature Scheme from Pairings

2013 ◽  
Vol 457-458 ◽  
pp. 1262-1265
Author(s):  
Min Qin Chen ◽  
Qiao Yan Wen ◽  
Zheng Ping Jin ◽  
Hua Zhang
Keyword(s):  
Random Oracle Model ◽  
Public Key Cryptography ◽  
Random Oracle ◽  
Blind Signature ◽  
Public Key ◽  
Signature Scheme ◽  
Signature Schemes ◽  
Diffie Hellman ◽  
Identity Based ◽  
Certificateless Signature

Based an identity-based signature scheme, we givea certificateless signature scheme. And then we propose a certificateless blind signature (CLBS) scheme in this paper. This schemeis more efficient than those of previous schemes by pre-computing the pairing e (P, P)=g. Based on CL-PKC, it eliminates theusing of certificates in the signature scheme with respect to thetraditional public key cryptography (PKC) and solves key escrowproblems in ID-based signature schemes. Meanwhile it retains themerits of BS schemes. The proposed CLBS scheme is existentialunforgeable in the random oracle model under the intractabilityof the q-Strong Diffie-Hellman problem.

scholarly journals Provably Secure Lattice-Based Self-Certified Signature Scheme

2021 ◽  
Vol 2021 ◽  
pp. 1-9
Author(s):  
Qiang Yang ◽  
Daofeng Li
Keyword(s):  
Computational Cost ◽  
Random Oracle Model ◽  
Random Oracle ◽  
Public Key ◽  
Communication Overhead ◽  
Small Integer ◽  
Signature Scheme ◽  
Signature Schemes ◽  
The Public ◽  
Security Technologies

Digital signatures are crucial network security technologies. However, in traditional public key signature schemes, the certificate management is complicated and the schemes are vulnerable to public key replacement attacks. In order to solve the problems, in this paper, we propose a self-certified signature scheme over lattice. Using the self-certified public key, our scheme allows a user to certify the public key without an extra certificate. It can reduce the communication overhead and computational cost of the signature scheme. Moreover, the lattice helps prevent quantum computing attacks. Then, based on the small integer solution problem, our scheme is provable secure in the random oracle model. Furthermore, compared with the previous self-certified signature schemes, our scheme is more secure.

On the General Construction of Tightly Secure Identity-Based Signature Schemes

2020 ◽  
Vol 63 (12) ◽  
pp. 1835-1848
Author(s):  
Ge Wu ◽  
Zhen Zhao ◽  
Fuchun Guo ◽  
Willy Susilo ◽  
Futai Zhang
Keyword(s):  
Random Oracle Model ◽  
Random Oracle ◽  
General Construction ◽  
Security Level ◽  
Signature Schemes ◽  
Small Constant ◽  
Security Parameter ◽  
Cryptographic Primitive ◽  
Identity Based ◽  
Tight Security

Abstract A tightly secure scheme has a reduction, where the reduction loss is a small constant. Identity-based signature (IBS) is an important cryptographic primitive, and tightly secure IBS schemes enjoy the advantage that the security parameter can be optimal to achieve a certain security level. General constructions of IBS schemes (Bellare, M., Namprempre, C., and Neven, G. (2004) Security Proofs for Identity-Based Identification and Signature Schemes. In Proc. EUROCRYPT 2004, May 2–6, pp. 268–286. Springer, Berlin, Interlaken, Switzerland; Galindo, D., Herranz, J., and Kiltz, E. (2006) On the Generic Construction of Identity-Based Signatures With Additional Properties. In Proceedings of ASIACRYPT 2006, December 3–7, pp. 178–193. Springer, Berlin, Shanghai, China) and their security have been extensively studied. However, the security is not tight and how to generally construct a tightly secure IBS scheme remains unknown. In this paper, we concentrate on the general constructions of IBS schemes. We first take an insight into previous constructions and analyze the reason why it cannot achieve tight security. To further study possible tightly secure constructions, we propose another general construction, which could be seen as a different framework of IBS schemes. Our construction requires two traditional signature schemes, whereas the construction by Bellare et al. uses one scheme in a two-round iteration. There are no additional operations in our general construction. Its main advantage is providing the possibility of achieving tight security for IBS schemes in the random oracle model. Combining two known signature schemes, we present an efficient IBS scheme with tight security as an example.

scholarly journals A Certificateless Ring Signature Scheme with High Efficiency in the Random Oracle Model

2017 ◽  
Vol 2017 ◽  
pp. 1-9 ◽  
Author(s):  
Yingying Zhang ◽  
Jiwen Zeng ◽  
Wei Li ◽  
Huilin Zhu
Keyword(s):  
Digital Signature ◽  
High Efficiency ◽  
Random Oracle Model ◽  
Public Key Cryptography ◽  
Random Oracle ◽  
Bilinear Pairing ◽  
Public Key ◽  
Ring Signature ◽  
Certificateless Public Key Cryptography ◽  
Identity Based

Ring signature is a kind of digital signature which can protect the identity of the signer. Certificateless public key cryptography not only overcomes key escrow problem but also does not lose some advantages of identity-based cryptography. Certificateless ring signature integrates ring signature with certificateless public key cryptography. In this paper, we propose an efficient certificateless ring signature; it has only three bilinear pairing operations in the verify algorithm. The scheme is proved to be unforgeable in the random oracle model.

scholarly journals Lattice-Based Logarithmic-Size Non-Interactive Deniable Ring Signatures

Entropy ◽  
2021 ◽  
Vol 23 (8) ◽  
pp. 980
Author(s):  
Huiwen Jia ◽  
Chunming Tang ◽  
Yanhua Zhang
Keyword(s):  
Random Oracle Model ◽  
Random Oracle ◽  
Group Signature ◽  
Small Integer ◽  
Knowledge Argument ◽  
Attractive Feature ◽  
Ring Signature ◽  
Ring Signatures ◽  
Efficient Scheme ◽  
High Level

Deniable ring signature can be regarded as group signature without group manager, in which a singer is capable of singing a message anonymously, but, if necessary, each ring member is allowed to confirm or disavowal its involvement in the signature via an interactive mechanism between the ring member and the verifier. This attractive feature makes the deniable ring signature find many applications in the real world. In this work, we propose an efficient scheme with signature size logarithmic to the cardinality of the ring. From a high level, we adapt Libert et al.’s zero-knowledge argument system (Eurocrypt 2016) to allow the prover to convince the verifier that its witness satisfies an additional condition. Then, using the Fait-Shamir transformation, we get a non-interactive deniable ring signature scheme that satisfies the anonymity, traceability, and non-frameability under the small integer solution assumption in the random oracle model.

Identity-Based Signature Scheme over Lattices

2014 ◽  
Vol 687-691 ◽  
pp. 2169-2174 ◽  
Author(s):  
Feng He Wang ◽  
Chun Xiao Wang
Keyword(s):  
Random Oracle Model ◽  
Random Oracle ◽  
Integer Solution ◽  
Small Integer ◽  
Signature Scheme ◽  
Sampling Function ◽  
Image Sampling ◽  
Space Size ◽  
Identity Based

This paper proposes an identity-based signature (IBS) scheme over lattices. The proposed scheme is designed directly by combining the pre-image sampling function (PSF) and the signature scheme without trapdoor over lattice. Based on the hardness of the small integer solution (SIS) problem, we prove that the proposed scheme is strongly unforgeable under the adaptive chosen message and identity attack in the random oracle model. Since there are without the dimension extension of lattice, the scheme is efficient with respect to the space size.

scholarly journals An Identity-Based Blind Signature Scheme Using Lattice with Provable Security

2020 ◽  
Vol 2020 ◽  
pp. 1-12
Author(s):  
Quanrun Li ◽  
Chingfang Hsu ◽  
Debiao He ◽  
Kim-Kwang Raymond Choo ◽  
Peng Gong
Keyword(s):  
Quantum Computer ◽  
Rapid Development ◽  
Random Oracle Model ◽  
Random Oracle ◽  
Mean Value ◽  
Blind Signature ◽  
Signature Scheme ◽  
Practical Applications ◽  
Universal Quantum ◽  
Identity Based

With the rapid development of quantum computing and quantum information technology, the universal quantum computer will emerge in the near decades with a very high probability and it could break most of the current public key cryptosystems totally. Due to the ability of withstanding the universal quantum computer’s attack, the lattice-based cryptosystems have received lots of attention from both industry and academia. In this paper, we propose an identity-based blind signature scheme using lattice. We also prove that the proposed scheme is provably secure in the random oracle model. The performance analysis shows that the proposed scheme has less mean value of sampling times and smaller signature size than previous schemes. Thus, the proposed scheme is more suitable for practical applications.

Certificate-Based Generalized Ring Signcryption Scheme

2018 ◽  
Vol 29 (06) ◽  
pp. 1063-1088 ◽  
Author(s):  
Caixue Zhou ◽  
Guangyong Gao ◽  
Zongmin Cui ◽  
Zhiqiang Zhao
Keyword(s):  
Random Oracle Model ◽  
Bilinear Pairings ◽  
Random Oracle ◽  
Formal Definition ◽  
Security Model ◽  
Storage Space ◽  
Ring Signature ◽  
Highly Efficient ◽  
Signcryption Scheme

Generalized ring signcryption (GRSC) can realize ring signature and ring signcryption functions with only one key pair and one algorithm. It is very useful for a system with a large number of users, or whose function may be changed, or with limited storage space. We give a formal definition and security model of GRSC in the certificate-based cryptosystem setting and propose a concrete scheme by using bilinear pairings. The confidentiality of our scheme can be proved under the GBDH and CDH assumptions and the unforgeability of our scheme can be proved under [Formula: see text] and CDH assumptions in the random oracle model, and what is more, our scheme has unconditional anonymity. Compared with other certificateless ring signcryption schemes that use bilinear pairings, it is a highly efficient one.

scholarly journals Scalable Revocable Identity-Based Signature Scheme with Signing Key Exposure Resistance from Lattices

2020 ◽  
Vol 2020 ◽  
pp. 1-11
Author(s):  
Congge Xie ◽  
Jian Weng ◽  
Jinming Wen
Keyword(s):  
Quantum Computing ◽  
Random Oracle Model ◽  
Random Oracle ◽  
Signature Scheme ◽  
Integer Solutions ◽  
Identity Based ◽  
Definition Of ◽  
Lattice Based Cryptography ◽  
Key Exposure

In 2014, a new security definition of a revocable identity-based signature (RIBS) with signing key exposure resistance was introduced. Based on this new definition, many scalable RIBS schemes with signing key exposure resistance were proposed. However, the security of these schemes is based on traditional complexity assumption, which is not secure against attacks in the quantum era. Lattice-based cryptography has many attractive features, and it is believed to be secure against quantum computing attacks. We reviewed existing lattice-based RIBS schemes and found that all these schemes are vulnerable to signing key exposure. Hence, in this paper, we propose the first lattice-based RIBS scheme with signing key exposure resistance by using the left-right lattices and delegation technology. In addition, we employ a complete subtree revocation method to ensure our construction meeting scalability. Finally, we prove that our RIBS scheme is selective-ID existentially unforgeable against chosen message attacks (EUF-sID-CMA) under the standard short integer solutions (SIS) assumption in the random oracle model.

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