Comparative Analysis of Higher Genus Hyperelliptic Curve Cryptosystems over Finite Field Fp

The performance analysis of Hyperelliptic Curve Cryptosystems (HECC) over prime fields (Fp) of genus 5 and 6 are discussed in this paper. We have implemented a HECC system of genus 5&6 in a Intel Pentium III Celeron Processor @ 933 MHz speed with 256 MB RAM in Java 1.5. We have also compared their efficiency on the parameters of time taken for divisor generation, key generation, encryption and decryption. Our results demonstrate that the performance of higher genus HECC system gets degraded in terms of divisor generation, key generation, encryption and decryption process.