# Flexible Prime-Field Genus 2 Hyperelliptic Curve Cryptography Processor with Low Power Consumption and Uniform Power Draw

• Ahmadi, Hamid-Reza (Faculty of New Sciences and Technologies, University of Tehran) ;
• Afzali-Kusha, Ali (School of Electrical and Computer Engineering, University of Tehran) ;
• Pedram, Massoud (Department of Electrical Engineering, University of Southern California) ;
• Mosaffa, Mahdi (School of Electrical and Computer Engineering, University of Tehran)
• Accepted : 2014.10.02
• Published : 2015.02.01

#### Abstract

This paper presents an energy-efficient (low power) prime-field hyperelliptic curve cryptography (HECC) processor with uniform power draw. The HECC processor performs divisor scalar multiplication on the Jacobian of genus 2 hyperelliptic curves defined over prime fields for arbitrary field and curve parameters. It supports the most frequent case of divisor doubling and addition. The optimized implementation, which is synthesized in a $0.13{\mu}m$ standard CMOS technology, performs an 81-bit divisor multiplication in 503 ms consuming only $6.55{\mu}J$ of energy (average power consumption is $12.76{\mu}W$). In addition, we present a technique to make the power consumption of the HECC processor more uniform and lower the peaks of its power consumption.

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