High Performance Arithmetic for Hyperelliptic Curve Cryptosystems of Genus Two

Abstract

Nowadays, there exists a manifold variety of cryptographic applications: from low level embedded crypto implementations up to high end cryptographic engines for servers. The latter require a exible implementation of a variety of cryptographic primitives in order to be capable of communicating with several clients. On the other hand, on the client it only requires an implementation of one speci c algorithm with xed parameters such as a xed eld size or xed curve parameters if using ECC/ HECC. In particular for embedded environments like PDAs or mobile communication devices, xing these parameters can be crucial regarding speed and power consumption. In this contribution, we propose a highly ecient algorithm for a hyperelliptic curve cryptosystem of genus two, well suited for these constraint devices

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