Fast, uniform scalar multiplication for genus 2 Jacobians with fast Kummers
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Publication:1698663
DOI10.1007/978-3-319-69453-5_25zbMath1418.94038OpenAlexW2767047824MaRDI QIDQ1698663
Publication date: 16 February 2018
Full work available at URL: https://hal.inria.fr/hal-01353480/file/recovery.pdf
Cryptography (94A60) Computational aspects of algebraic curves (14Q05) Applications to coding theory and cryptography of arithmetic geometry (14G50)
Cites Work
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- Arithmetic on abelian and Kummer varieties
- Genus 2 point counting over prime fields
- A fast Diffie-Hellman protocol in genus 2
- Sequences of numbers generated by addition in formal groups and new primality and factorization tests
- Kummer Strikes Back: New DH Speed Records
- Jacobian Coordinates on Genus 2 Curves
- Arithmetic of Split Kummer Surfaces: Montgomery Endomorphism of Edwards Products
- Speeding the Pollard and Elliptic Curve Methods of Factorization
- Computing in the Jacobian of a Hyperelliptic Curve
- Exceptional Procedure Attack on Elliptic Curve Cryptosystems
- Faster Compact Diffie–Hellman: Endomorphisms on the x-line
- Fast genus 2 arithmetic based on Theta functions
- Algorithmic Number Theory
- Construction of a \𝐵𝑏𝑏𝑘-complete addition law on Jacobians of hyperelliptic curves of genus two
- Public Key Cryptography - PKC 2006
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