[Resource Topic] 2016/148: Isogeny-based Quantum-resistant Undeniable Blind Signature Scheme

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Title:
Isogeny-based Quantum-resistant Undeniable Blind Signature Scheme

Authors: Srinath M. S., V. Chandrasekaran

Abstract:

In this paper, we propose an Undeniable Blind Signature scheme (UBSS) based on isogenies between supersingular elliptic curves. The proposed UBSS is an extension of the Jao-Soukharev undeniable signature scheme. We formalize the notion of a UBSS by giving the formal definition. We then study its properties along with the pros and cons. Based on this, we provide a couple of its applcations. We then state the isogeny problems in a more general form and discuss their computational hardnesses. Finally, we prove that the proposed scheme is secure in the presence of a quantum adversary under certain assumptions.

ePrint: https://eprint.iacr.org/2016/148

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