Genus 2 Hyperelliptic Curve Families with Explicit Jacobian Order Evaluation and Pairing-Friendly Constructions

DOI10.1007/978-3-642-36334-4_16zbMath1305.94053OpenAlexW1575590592MaRDI QIDQ4912502

Damien Vergnaud, Aurore Guillevic

Publication date: 4 April 2013

Published in: Pairing-Based Cryptography – Pairing 2012 (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-36334-4_16

zbMATH Keywords

hyperelliptic curvesordinary curvesgenus 2Cocks-Pinch methodBrezing-Weng methodorder computationpairing-friendly constructions

Mathematics Subject Classification ID

Analysis of algorithms (68W40) Cryptography (94A60) Applications to coding theory and cryptography of arithmetic geometry (14G50)

Related Items (6)

A survey on delegated computation ⋮ A new twofold Cornacchia-type algorithm and its applications ⋮ Unnamed Item ⋮ HYPERELLIPTIC CURVES, CARTIER — MANIN MATRICES AND LEGENDRE POLYNOMIALS ⋮ Counting points on hyperelliptic curves of type \(y^2=x^{2g+1}+ax^{g+1}+bx\) ⋮ Parametrizing the moduli space of curves and applications to smooth plane quartics over finite fields

Uses Software

• Magma

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