Faster pairing computation on genus \(2\) hyperelliptic curves

DOI10.1016/j.ipl.2011.02.011zbMath1260.94057OpenAlexW2047092919MaRDI QIDQ1944931

Yanfeng Qi, Mao-Zhi Xu, Chun-Ming Tang

Publication date: 28 March 2013

Published in: Information Processing Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ipl.2011.02.011

zbMATH Keywords

cryptographypairing-based cryptographypairing computationefficiently computable endomorphismsgenus-\(2\) hyperelliptic curves

Mathematics Subject Classification ID

Analysis of algorithms (68W40) Cryptography (94A60)

Uses Software

• Magma

Cites Work

• Hyperelliptic cryptosystems
• The Magma algebra system. I: The user language
• The Weil pairing, and its efficient calculation
• Efficient pairing computation on supersingular abelian varieties
• The Eta Pairing Revisited
• Identity-based authenticated key agreement protocol based on Weil pairing
• Pairing Lattices
• Speeding Up Pairing Computations on Genus 2 Hyperelliptic Curves with Efficiently Computable Automorphisms
• Efficient Pairing Computation on Genus 2 Curves in Projective Coordinates
• Computing in the Jacobian of a Hyperelliptic Curve
• A Remark Concerning m-Divisibility and the Discrete Logarithm in the Divisor Class Group of Curves
• Reducing elliptic curve logarithms to logarithms in a finite field
• An Identity-Based Signature from Gap Diffie-Hellman Groups
• Efficient and Generalized Pairing Computation on Abelian Varieties
• Optimal Pairings
• Handbook of Elliptic and Hyperelliptic Curve Cryptography
• Hyperelliptic Pairings
• Ate Pairing on Hyperelliptic Curves
• Information Security and Cryptology - ICISC 2003
• Advances in Cryptology - ASIACRYPT 2003
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