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Generating more Kawazoe-Takahashi genus 2 pairing-friendly hyperelliptic curves

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (2010) 6487 LNCS 312-326
DOI: 10.1007/978-3-642-17455-1_20
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Abstract

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 pairing-friendly hyperelliptic curves with 2

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Kachisa, E. J. (2010). Generating more Kawazoe-Takahashi genus 2 pairing-friendly hyperelliptic curves. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 6487 LNCS, pp. 312–326). https://doi.org/10.1007/978-3-642-17455-1_20

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