SCALLOP: scaling the CSI-FiSh

ePrint Report: SCALLOP: scaling the CSI-FiSh

Luca De Feo, Tako Boris Fouotsa, Péter Kutas, Antonin Leroux, Simon-Philipp Merz, Lorenz Panny, Benjamin Wesolowski

We present SCALLOP: SCALable isogeny action based on
Oriented supersingular curves with Prime conductor, a new group action based on isogenies of supersingular curves. Similarly to CSIDH and
OSIDH, we use the group action of an imaginary quadratic order’s class
group on the set of oriented supersingular curves. Compared to CSIDH,
the main benefit of our construction is …

action class conductor csi eprint report fish lorenz main order prime report scaling