Integer Variable χ–Based Ate Pairing

DOI10.1007/978-3-540-85538-5_13zbMath1186.94463OpenAlexW1556920856MaRDI QIDQ3600504

Hidehiro Kato, Masataka Akane, Yumi Sakemi, Yoshitaka Morikawa, Yasuyuki Nogami

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_13

zbMATH Keywords

Ate pairingMiller's algorithm

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cryptography (94A60) Number-theoretic algorithms; complexity (11Y16)

Related Items (12)

Memory-saving computation of the pairing final exponentiation on BN curves ⋮ Identity-based key distribution for mobile ad hoc networks ⋮ Subgroup Security in Pairing-Based Cryptography ⋮ A survey of elliptic curves for proof systems ⋮ Implementing optimized pairings with elliptic nets ⋮ An Improvement of Optimal Ate Pairing on KSS Curve with Pseudo 12-Sparse Multiplication ⋮ Choosing and generating parameters for pairing implementation on BN curves ⋮ Comparing two pairing-based aggregate signature schemes ⋮ Integer Variable χ–Based Ate Pairing ⋮ Point Decomposition Problem in Binary Elliptic Curves ⋮ On the Final Exponentiation for Calculating Pairings on Ordinary Elliptic Curves ⋮ Parallelizing the Weil and Tate Pairings

Cites Work

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• A fast algorithm for computing multiplicative inverses in \(\text{GF}(2^ m)\) using normal bases
• A taxonomy of pairing-friendly elliptic curves
• The Eta Pairing Revisited
• Integer Variable χ–Based Ate Pairing
• Exponentiation in Pairing-Friendly Groups Using Homomorphisms
• Efficient and Generalized Pairing Computation on Abelian Varieties
• Pairing-Friendly Elliptic Curves of Prime Order
• Implementing Cryptographic Pairings over Barreto-Naehrig Curves
• Optimised Versions of the Ate and Twisted Ate Pairings
• Verifier-Local Revocation Group Signature Schemes with Backward Unlinkability from Bilinear Maps

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