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Section: New Results

Faster elliptic and hyperelliptic curve cryptography

B. Smith made several contributions to the development of faster arithmetic on elliptic curves and genus 2 Jacobians in 2016. In joint work with C. Costello and P.-N. Chung, he gave a new, efficient, uniform, and constant-time scalar multiplication algorithm for genus 2 Jacobians exploiting fast Kummer surface arithmetic and features of differential addition chains; this was presented at SAC 2016. The theory in this article was the basis of a highly competitive implementation of key exchange and signatures for microcontroller platforms, in joint work with J. Renes, P. Schwabe, and L. Batina, presented at CHES 2016.