@inproceedings{costello2018computing,
author = {Costello, Craig},
title = {Computing supersingular isogenies on Kummer surfaces},
booktitle = {Progress in Cryptology - ASIACRYPT 2018},
year = {2018},
month = {December},
abstract = {We apply Scholten's construction to give explicit isogenies between the Weil restriction of supersingular Montgomery curves with full rational 2-torsion over GF(p^2) and corresponding abelian surfaces over GF(p). Subsequently, we show that isogeny-based public key cryptography can exploit the fast Kummer surface arithmetic that arises from the theory of theta functions. In particular, we show that chains of 2-isogenies between elliptic curves can instead be computed as chains of Richelot (2,2)-isogenies between Kummer surfaces. This gives rise to new possibilities for efficient supersingular isogeny-based cryptography.},
publisher = {Springer},
url = {http://approjects.co.za/?big=en-us/research/publication/computing-supersingular-isogenies-on-kummer-surfaces/},
edition = {ASIACRYPT 2018},
}