Another Approach to Pairing Computation in Edwards Coordinates

DOI10.1007/978-3-540-89754-5_31zbMath1203.94104OpenAlexW1810472045MaRDI QIDQ5504639

Antoine Joux, Sorina Ionica

Publication date: 22 January 2009

Published in: Progress in Cryptology - INDOCRYPT 2008 (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-540-89754-5_31

zbMATH Keywords

Tate pairingMiller's algorithmEdwards coordinates

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cryptography (94A60)

Related Items (11)

Further refinements of Miller's algorithm on Edwards curves ⋮ Pairing Computation on Edwards Curves with High-Degree Twists ⋮ Faster computation of the Tate pairing ⋮ The pairing computation on Edwards curves ⋮ Huff’s Model for Elliptic Curves ⋮ An Analysis of Affine Coordinates for Pairing Computation ⋮ Pairing-based algorithms for Jacobians of genus 2 curves with maximal endomorphism ring ⋮ Deterministic Encoding into Twisted Edwards Curves ⋮ What about Vulnerability to a Fault Attack of the Miller’s Algorithm During an Identity Based Protocol? ⋮ Isogeny graphs with maximal real multiplication ⋮ Another Approach to Pairing Computation in Edwards Coordinates

Uses Software

• EFD

Cites Work

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• A one round protocol for tripartite Diffie-Hellman
• The Weil pairing, and its efficient calculation
• Signed bits and fast exponentiation
• A taxonomy of pairing-friendly elliptic curves
• Elliptic curves suitable for pairing based cryptography
• Twisted Edwards Curves
• The Eta Pairing Revisited
• Faster Addition and Doubling on Elliptic Curves
• A normal form for elliptic curves
• Efficient Computation of Tate Pairing in Projective Coordinate over General Characteristic Fields
• Advances in Elliptic Curve Cryptography
• Another Approach to Pairing Computation in Edwards Coordinates
• Cryptography and Coding
• Algorithmic Number Theory

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