Generating More Kawazoe-Takahashi Genus 2 Pairing-Friendly Hyperelliptic Curves

Constructing pairing-friendly hyperelliptic curves with small ρ-values is one of challenges for practicability of pairing-friendly hyperelliptic curves. In this paper, we describe a method that extends the Kawazoe-Takahashi method of generating families of genus 2 ordinary pairing-friendly hyperelliptic curves by parameterizing the parameters as polynomials. With this approach we construct genus 2 ordinary pairingfriendly hyperelliptic curves with 2 < ρ ≤ 3.

• Type: Journal
• Year: 2010
• Where: PAIRING
• Authors: Ezekiel J. Kachisa
• Keywords: Cryptology, Hyperelliptic Curves, PAIRING 2010, Pairing-friendly Hyperelliptic Curves, Pairingfriendly Hyperelliptic Curves