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Lattice-Based Blind Signatures, Revisited
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Conference: | CRYPTO 2020 |
Abstract: | We observe that all previously known lattice-based blind signatures schemes contain subtle flaws in their security proofs (e.g.,~Rückert, ASIACRYPT '08) or can be attacked (e.g., BLAZE by Alkadri et al., FC~'20). Motivated by this, we revisit the problem of constructing blind signatures from standard lattice assumptions. We propose a new three-round lattice-based blind signature scheme whose security can be proved, in the random oracle model, from the standard SIS assumption. Our starting point is a modified version of the insecure three-round BLAZE scheme, which itself is based Lyubashevsky's three-round identification scheme combined with a new aborting technique to reduce the correctness error. Our proof builds upon and extends the recent modular framework for blind signatures of Hauck, Kiltz, and Loss (EUROCRYPT~'19). It also introduces several new techniques to overcome the additional challenges posed by the correctness error which is inherent to all lattice-based constructions. While our construction is mostly of theoretical interest, we believe it to be an important stepping stone for future works in this area. |
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BibTeX
@inproceedings{crypto-2020-30506, title={Lattice-Based Blind Signatures, Revisited}, publisher={Springer-Verlag}, doi={10.1007/978-3-030-56880-1_18}, author={Eduard Hauck and Eike Kiltz and Julian Loss and Ngoc Khanh Nguyen}, year=2020 }