Title
Fast, uniform scalar multiplication for genus 2 Jacobians with fast Kummers.
Abstract
We give one- and two-dimensional scalar multiplication algorithms for Jacobians of genus 2 curves that operate by projecting to Kummer surfaces, where we can exploit faster and more uniform pseudomultiplication, before recovering the proper “signed” output back on the Jacobian. This extends the work of Lopez and Dahab, Okeya and Sakurai, and Brier and Joye to genus 2, and also to two-dimensional scalar multiplication. The technique is especially interesting in genus 2, because Kummer surfaces can outperform comparable elliptic curve systems.
Year
Venue
DocType
2016
IACR Cryptology ePrint Archive
Conference
Volume
Citations 
PageRank 
2016
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Ping Ngai Chung131.49
Craig Costello234818.74
Benjamin Smith3305.54