COMPARATIVE ANALYSIS OF HIGHER GENUS HYPERELLIPTIC CURVE CRYPTOSYSTEMS OVER FINITE FIELD FP

Abstract
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.

Authors
R. Ganesan1, K. Vivekanandan2
PSG College of Arts & Science, Tamil Nadu, India1, Bharathiar School of Management and Entrepreneur Development, Tamil Nadu, India2

Keywords
HECC, Finite Field, Genus, Divisor Generation, Key Generation, Encryption, Decryption
Published By :
ICTACT
Published In :
ICTACT Journal on Communication Technology
( Volume: 2 , Issue: 1 )
Date of Publication :
March 2011

Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.