Faster Compact Diffie–Hellman: Endomorphisms on the x-line

DOI10.1007/978-3-642-55220-5_11zbMath1332.94063OpenAlexW1925988926MaRDI QIDQ5418696

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Publication date: 27 May 2014

Published in: Advances in Cryptology – EUROCRYPT 2014 (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-55220-5_11

zbMATH Keywords

endomorphismelliptic curve cryptographyscalar multiplicationKummer varietyside channel attacksaddition chainsMontgomery curvetwist-secure

Mathematics Subject Classification ID

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

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Efficient Software Implementation of Laddering Algorithms Over Binary Elliptic Curves ⋮ The \(\mathbb Q\)-curve construction for endomorphism-accelerated elliptic curves ⋮ Twisted Hessian Curves ⋮ Fast, uniform scalar multiplication for genus 2 Jacobians with fast Kummers ⋮ Sandy2x: New Curve25519 Speed Records ⋮ Modified Gaudry-Schost algorithm for the two-dimensional discrete logarithm problem ⋮ Kummer for genus one over prime-order fields

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