High-Speed Software Implementation of the Optimal Ate Pairing over Barreto–Naehrig Curves

DOI10.1007/978-3-642-17455-1_2zbMath1287.94054OpenAlexW2164960664MaRDI QIDQ3059638

Jean-Luc Beuchat, Eiji Okamoto, Shigeo Mitsunari, Francisco Rodríguez-Henríquez, Tadanori Teruya, Jorge E. González-Díaz

Publication date: 26 November 2010

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-17455-1_2

zbMATH Keywords

Tate pairingoptimal pairingordinary curvefinite field arithmeticBarreto-Naehrig curvebilinear pairing software implementation

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cryptography (94A60) Applications to coding theory and cryptography of arithmetic geometry (14G50) Theory of software (68N99)

Related Items

Faster Hashing to ${\mathbb G}_2$ ⋮ Optimal Eta Pairing on Supersingular Genus-2 Binary Hyperelliptic Curves ⋮ Memory-saving computation of the pairing final exponentiation on BN curves ⋮ Implicit Zero-Knowledge Arguments and Applications to the Malicious Setting ⋮ Storing and Retrieving Secrets on a Blockchain ⋮ A survey of elliptic curves for proof systems ⋮ KDM security for the Fujisaki-Okamoto transformations in the QROM ⋮ Zero-knowledge succinct non-interactive arguments of knowledge based on sets of polynomials ⋮ Unnamed Item ⋮ Efficient algorithms for secure outsourcing of bilinear pairings ⋮ An Analysis of Affine Coordinates for Pairing Computation ⋮ Point Decomposition Problem in Binary Elliptic Curves ⋮ Barreto-Naehrig ⋮ Beta Weil pairing revisited ⋮ Parallelizing the Weil and Tate Pairings ⋮ On the Efficient Implementation of Pairing-Based Protocols ⋮ Attractive Subfamilies of BLS Curves for Implementing High-Security Pairings ⋮ Extended Tower Number Field Sieve: A New Complexity for the Medium Prime Case ⋮ An Efficient Self-blindable Attribute-Based Credential Scheme

This page was built for publication: High-Speed Software Implementation of the Optimal Ate Pairing over Barreto–Naehrig Curves