On the Security of Pairing-Friendly Abelian Varieties over Non-prime Fields

DOI10.1007/978-3-642-03298-1_4zbMath1250.14016OpenAlexW1548756120MaRDI QIDQ3392902

David M. Freeman, Naomi Benger, Manuel Charlemagne

Publication date: 18 August 2009

Published in: Pairing-Based Cryptography – Pairing 2009 (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-03298-1_4

Mathematics Subject Classification ID

Cryptography (94A60) Finite ground fields in algebraic geometry (14G15) Arithmetic ground fields for abelian varieties (14K15) Applications to coding theory and cryptography of arithmetic geometry (14G50)

Related Items (3)

Constructing pairing-friendly hyperelliptic curves using Weil restriction ⋮ ON BOUNDS FOR BALANCED EMBEDDING DEGREE ⋮ A taxonomy of pairing-friendly elliptic curves

Cites Work

• Unnamed Item
• Unnamed Item
• Index calculus for abelian varieties of small dimension and the elliptic curve discrete logarithm problem
• Using abelian varieties to improve pairing-based cryptography
• Constructive and destructive facets of Weil descent on elliptic curves
• A taxonomy of pairing-friendly elliptic curves
• Ordinary Abelian varieties having small embedding degree
• Endomorphisms for Faster Elliptic Curve Cryptography on a Large Class of Curves
• Reducing elliptic curve logarithms to logarithms in a finite field
• Zeta Function and Cryptographic Exponent of Supersingular Curves of Genus 2
• On the Minimal Embedding Field

This page was built for publication: On the Security of Pairing-Friendly Abelian Varieties over Non-prime Fields