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2020 | OriginalPaper | Chapter

Group Signature Without Random Oracles from Randomizable Signatures

Authors : Rémi Clarisse, Olivier Sanders

Published in: Provable and Practical Security

Publisher: Springer International Publishing

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Abstract

Group signature is a central tool for privacy-preserving protocols, ensuring authentication, anonymity and accountability. It has been massively used in cryptography, either directly or through variants such as direct anonymous attestations. However, it remains a complex tool, especially if one wants to avoid proving security in the random oracle model.

In this work, we propose a new group signature scheme proven secure without random oracles which significantly decreases the complexity in comparison with the state-of-the-art. More specifically, we halve both the size and the computational cost compared to the most efficient alternative in the same model. Moreover, our construction is also competitive against the most efficient ones in the random oracle model.

Our construction is based on a tailored combination of two popular signatures, which avoids the explicit use of encryption schemes or zero-knowledge proofs while signing. It is flexible enough to achieve security in different models and is thus suitable for most contexts.

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next chapter Constant-Size Lattice-Based Group Signature with Forward Security in the Standard Model

We nevertheless note that the hardness of the corresponding problem depends on the function h. For example, if h is constant then no adversary can succeed as soon as it makes (at least) one query to \(\mathcal {O}\).

Any EUF-CMA signature scheme can be selected here, without any impact on the complexity of the group signatures.

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Title: Group Signature Without Random Oracles from Randomizable Signatures
Authors: Rémi Clarisse
Olivier Sanders
Publisher: Springer International Publishing
Book: Provable and Practical Security
Print ISBN: 978-3-030-62575-7

Electronic ISBN: 978-3-030-62576-4

Copyright Year: 2020
DOI: https://doi.org/10.1007/978-3-030-62576-4_1

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