Ate Pairing on Hyperelliptic Curves

DOI10.1007/978-3-540-72540-4_25zbMath1141.94356OpenAlexW2145921801MaRDI QIDQ5429405

Robert Granger, Nicolas Thériault, Roger Oyono, Frederik Vercauteren, Florian Hess

Publication date: 29 November 2007

Published in: Advances in Cryptology - EUROCRYPT 2007 (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-540-72540-4_25

zbMATH Keywords

finite fieldshyperelliptic curvesTate pairingAte pairing

Mathematics Subject Classification ID

Cryptography (94A60)

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Optimal Eta Pairing on Supersingular Genus-2 Binary Hyperelliptic Curves ⋮ Self-pairings on supersingular elliptic curves with embedding degree \textit{three} ⋮ Private polynomial commitments and applications to MPC ⋮ Horizontal racewalking using radical isogenies ⋮ Faster pairing computation on genus \(2\) hyperelliptic curves ⋮ Optimal pairing computation over families of pairing-friendly elliptic curves ⋮ Eta pairing computation on general divisors over hyperelliptic curves \(y^2=x^p - x+d\) ⋮ Tate and Ate pairings for \(y^2=x^5-\alpha x\) in characteristic five ⋮ Speeding Up Pairing Computations on Genus 2 Hyperelliptic Curves with Efficiently Computable Automorphisms ⋮ Simplified pairing computation and security implications ⋮ A generalisation of Miller's algorithm and applications to pairing computations on abelian varieties ⋮ Efficient Pairing Computation on Genus 2 Curves in Projective Coordinates ⋮ Beta Weil pairing revisited ⋮ Parallelizing the Weil and Tate Pairings ⋮ Hasse–Witt and Cartier–Manin matrices: A warning and a request

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