Software Implementation of Binary Elliptic Curves: Impact of the Carry-Less Multiplier on Scalar Multiplication

DOI10.1007/978-3-642-23951-9_8zbMath1321.94092OpenAlexW2098583040MaRDI QIDQ3172969

Darrel Hankerson, Francisco Rodríguez-Henríquez, Julio López, Armando Faz-Hernández, Jonathan Taverne, Diego F. Aranha

Publication date: 7 October 2011

Published in: Cryptographic Hardware and Embedded Systems – CHES 2011 (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-23951-9_8

zbMATH Keywords

parallel algorithmelliptic curve cryptographyefficient software implementationfinite field arithmetic

Mathematics Subject Classification ID

Cryptography (94A60) Applications to coding theory and cryptography of arithmetic geometry (14G50)

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Optimal Eta Pairing on Supersingular Genus-2 Binary Hyperelliptic Curves ⋮ A Secure and Efficient Implementation of the Quotient Digital Signature Algorithm (qDSA) ⋮ Impact of Intel's new instruction sets on software implementation of \(GF(2)[x\) multiplication] ⋮ Optimal software-implemented Itoh-Tsujii inversion for \(\mathbb{F}_{2^{m}}\) ⋮ Koblitz curves over quadratic fields

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