Cryptology ePrint Archive: Report 2018/824

SeaSign: Compact isogeny signatures from class group actions

Luca De Feo and Steven D. Galbraith

Abstract: We give a new signature scheme for isogenies that combines the class group actions of CSIDH with the notion of Fiat-Shamir with aborts. Our techniques allow to have signatures of size less than one kilobyte at the 128-bit security level, even with tight security reduction (to a non-standard problem) in the quantum random oracle model. Hence our signatures are potentially shorter than lattice signatures, but signing and verification are currently very expensive.

Category / Keywords: public-key cryptography / post-quantum crypto; isogenies

Date: received 4 Sep 2018

Contact author: s galbraith at auckland ac nz

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Version: 20180906:194631 (All versions of this report)

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