On the Security of Group Signature Scheme and Designated Verifier Signature Scheme

A New Approach to Keep the Privacy Information of the Signer in a Digital Signature Scheme

Information ◽

10.3390/info11050260 ◽

2020 ◽

Vol 11 (5) ◽

pp. 260

Author(s):

Dung Hoang Duong ◽

Willy Susilo ◽

Viet Cuong Trinh

Keyword(s):

Digital Signature ◽

Group Signature ◽

Encryption Scheme ◽

Signature Scheme ◽

Secret Key ◽

New Approach ◽

Designated Verifier ◽

Designated Verifier Signature ◽

Digital Signature Scheme ◽

Responsible Person

In modern applications, such as Electronic Voting, e-Health, e-Cash, there is a need that the validity of a signature should be verified by only one responsible person. This is opposite to the traditional digital signature scheme where anybody can verify a signature. There have been several solutions for this problem, the first one is we combine a signature scheme with an encryption scheme; the second one is to use the group signature; and the last one is to use the strong designated verifier signature scheme with the undeniable property. In this paper, we extend the traditional digital signature scheme to propose a new solution for the aforementioned problem. Our extension is in the sense that only a designated verifier (responsible person) can verify a signer’s signature, and if necessary (in case the signer refuses to admit his/her signature) the designated verifier without revealing his/her secret key is able to prove to anybody that the signer has actually generated the signature. The comparison between our proposed solution and the three existing solutions shows that our proposed solution is the best one in terms of both security and efficiency.

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Time-constrained strong multi-designated verifier signature suitable for Internet of things–based collaborative fog computing systems

International Journal of Distributed Sensor Networks ◽

10.1177/15501477211001760 ◽

2021 ◽

Vol 17 (3) ◽

pp. 155014772110017

Author(s):

Han-Yu Lin

Keyword(s):

Internet Of Things ◽

Fog Computing ◽

Discrete Logarithm ◽

Signature Scheme ◽

Computing Systems ◽

Extended Technique ◽

Diffie Hellman ◽

Designated Verifier ◽

Designated Verifier Signature ◽

Cloud Servers

Fog computing is viewed as an extended technique of cloud computing. In Internet of things–based collaborative fog computing systems, a fog node aggregating lots of data from Internet of things devices has to transmit the information to distributed cloud servers that will collaboratively verify it based on some predefined auditing policy. However, compromised fog nodes controlled by an adversary might inject bogus data to cheat or confuse remote servers. It also causes the waste of communication and computation resources. To further control the lifetime of signing capability for fog nodes, an appropriate mechanism is crucial. In this article, the author proposes a time-constrained strong multi-designated verifier signature scheme to meet the above requirement. In particular, a conventional non-delegatable strong multi-designated verifier signature scheme with low computation is first given. Based on its constructions, we show how to transform it into a time-constrained variant. The unforgeability of the proposed schemes is formally proved based on the famous elliptic curve discrete logarithm assumption. The security requirement of strong signer ambiguity for our substantial constructions is also analyzed by utilizing the intractable assumption of decisional Diffie–Hellman. Moreover, some comparisons in terms of the signature size and computational costs for involved entities among related mechanisms are made.

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