Fraunhofer-Gesellschaft

Publica

Hier finden Sie wissenschaftliche Publikationen aus den Fraunhofer-Instituten.

Fast FPGA Implementations of Diffie-Hellman on the Kummer Surface of a Genus-2 Curve

 
: Koppermann, P.; Santis, F. De; Heyszl, J.; Sigl, G.

:
Volltext ()

IACR transactions on cryptographic hardware and embedded systems (2018), S.1-17
ISSN: 2569-2925
Englisch
Zeitschriftenaufsatz, Elektronische Publikation
Fraunhofer AISEC ()

Abstract
We present the first hardware implementations of Diffie-Hellman key exchange based on the Kummer surface of Gaudry and Schost’s genus-2 curve targeting a 128-bit security level. We describe a single-core architecture for lowlatency applications and a multi-core architecture for high-throughput applications. Synthesized on a Xilinx Zynq-7020 FPGA, our architectures perform a key exchange with lower latency and higher throughput than any other reported implementation using prime-field elliptic curves at the same security level. Our single-core architecture performs a scalar multiplication with a latency of 82 microseconds while our multicore architecture achieves a throughput of 91,226 scalar multiplications per second. When compared to similar implementations of Microsoft’s Fourℚ on the same FPGA, this translates to an improvement of 48% in latency and 40% in throughput for the single-core and multi-core architecture, respectively. Both our designs exhibit constant-time execution to thwart timing attacks, use the Montgomery ladder for improved resistance against SPA, and support a countermeasure against fault attacks.

: http://publica.fraunhofer.de/dokumente/N-566038.html