Cryptology ePrint Archive: Report 2020/348

Constructing hidden order groups using genus three Jacobians

Steve Thakur

Abstract: Groups of hidden order have gained a surging interest in recent years due to applications to cryptographic commitments, verifiable delay functions and zero knowledge proofs. Recently, Dobson and Galbraith ([DG20]) proposed Jacobians of genus three hyperelliptic curves as a suitable candidate for such a group. While this looks like a promising idea, certain Jacobians are less secure than others and hence, the curve has to be chosen with caution. In this short note, we explore the types of Jacobians that would be suitable for this purpose.

Category / Keywords: foundations / Jacobians, hyperelliptic, accumulators, commitments

Date: received 23 Mar 2020, last revised 14 May 2020

Contact author: stevethakur01 at gmail com

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Note: Comments/corrections/suggestions welcome

Version: 20200514:233022 (All versions of this report)

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