[Resource Topic] 2022/1070: Efficient Unique Ring Signatures From Lattices

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Title:
Efficient Unique Ring Signatures From Lattices

Authors: Tuong Ngoc Nguyen, Anh The Ta, Huy Quoc Le, Dung Hoang Duong, Willy Susilo, Fuchun Guo, Kazuhide Fukushima, Shinsaku Kiyomoto

Abstract:

Unique ring signatures (URS) were introduced by Franklin and Zhang (FC 2012) as a unification of linkable and traceable ring signatures. In URS, each member within a ring can only produce, on behalf of the ring, at most one signature for a message. Applications of URS potentially are e-voting systems and eā€“token systems. In blockchain technology, URS has been implemented for mixing contracts. However, existing URS schemes are based on the Discrete Logarithm Problem, which is insecure in the post-quantum setting. In this paper, we design a new lattice-based URS scheme where the signature size is logarithmic in the number of ring members. The proposed URS exploits a Merkle tree-based accumulator as a building block in the lattice setting. Our scheme is secure under the Short Integer Solution and Learning With Rounding assumptions in the random oracle model.

ePrint: https://eprint.iacr.org/2022/1070

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