[Resource Topic] 2023/1484: Blind signatures from Zero knowledge in the Kummer variety

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Title:
Blind signatures from Zero knowledge in the Kummer variety

Authors: Paulo L. Barreto, Devin D. Reich, Marcos A. Simplicio Jr., Gustavo H. M. Zanon

Abstract:

We show how to apply the BZ methodology (Blind signatures from Zero knowledge) to obtain blind signatures in the Kummer varieties defined by Montgomery curves. We also describe specially-tailored arithmetic algorithms to facilitate their efficient implementation. The result can be proved secure under appropriate assumptions, appears to resist even the ROS attack (to which most elliptic-curve blind signature schemes succumb), and is arguably one of the most efficient among those proposals that offer similar security guarantees.

ePrint: https://eprint.iacr.org/2023/1484

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