Lossy CSI-FiSh: a practical and provable secure isogeny-based signature
De Cifris Augustae Taurinorum lecture in partnership with Department of Mathematical Sciences "G.L. Lagrange" of the Politecnico di Torino, Department of Mathematics "G. Peano" of the Università degli Studi di Torino, Quadrans Foundation and Telsy SPA.
Federico Pintore - University of Oxford
In the last decades, elliptic curves have a been a precious ally for cryptographers in the construction of secure public-key cryptosystems. However, with the possibility of obtaining quantum computers that could implement Shor’s quantum algorithm becoming more concrete in recent years, this happy marriage seemed to have come to an end.
Elliptic curves have been recently brought to the attention of cryptographers once again, this time to construct schemes supposed to be secure even against quantum adversaries. These schemes use isogenies (special maps) between elliptic curves, which turned out to be rather elusive for the construction of signature schemes. As a consequence, the first practical isogeny-based digital signature scheme, CSI-FiSh, was proposed only last year. In this talk I will present Lossy CSI-FiSh, a variant of CSI-FiSh with a stronger security proof and almost the same efficiency as CSI-FiSh. This new scheme was designed together with the Oxford Mathematics colleague Ali El Kaafarani and Dr. Shuichi Katsumata (AIST, JP).
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