A Generalized Brezing-Weng Algorithm for Constructing Pairing-Friendly Ordinary Abelian Varieties

DOI10.1007/978-3-540-85538-5_11zbMath1186.94440OpenAlexW1890654486MaRDI QIDQ3600500

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Publication date: 10 February 2009

Published in: Pairing-Based Cryptography – Pairing 2008 (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-540-85538-5_11

zbMATH Keywords

hyperelliptic curveabelian varietypairing-based cryptosystemembedding degreepairing-friendly variety

Mathematics Subject Classification ID

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

Related Items (7)

Heuristics on pairing-friendly abelian varieties ⋮ Constructing pairing-friendly hyperelliptic curves using Weil restriction ⋮ Generating pairing-friendly parameters for the CM construction of genus 2 curves over prime fields ⋮ ON BOUNDS FOR BALANCED EMBEDDING DEGREE ⋮ A taxonomy of pairing-friendly elliptic curves ⋮ Pairing-Friendly Hyperelliptic Curves with Ordinary Jacobians of Type y 2 = x 5 + ax ⋮ A New Method for Constructing Pairing-Friendly Abelian Surfaces

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