Results 91 to 100 of about 22,173,063 (167)

Addition-Subtraction-Multiplication chain for Isogeny-based Cryptography

open access: yes, 2018
Supersingular isogeny Diffie-Hellman key exchange is one of the important is sues in isogeny-based cryptography. To generate isogenies in this protocol, scalar multiplication costs expensive steps.
임희진
core   +1 more source

Aspects of Elliptic and Hyperelliptic Curve Isogeny-based Cryptography

open access: yes, 2022
With the advent of quantum computers in mind, a lot of attention in the field of cryptography has shifted towards new and different mathematical hard problems. One of these shifts is the change from the discrete logarithm problem on a single elliptic curve to isogenies between distinct elliptic curves.
openaire   +1 more source

Explicit addition formulae on hyperelliptic curves of genus 2 for isogeny-based cryptography

open access: yesJSIAM Letters
Summary: Some isogeny-based cryptosystems use addition and doubling on the Jacobian over genus-2 sextic and non-monic hyperelliptic curves. In this study, we generalized some formulae for quintic and monic curves to sextic curves using projective coordinates and then compared them.
Kaito Sato   +2 more
openaire   +2 more sources

Isogenies on twisted Hessian curves. [PDF]

open access: yesJ Math Cryptol, 2021
Perez FL, Dang T, Fouotsa E, Moody D.
europepmc   +1 more source

Toward zkSNARK-assisted Isogeny-based Cryptography

open access: yes
Zero-knowledge proofs are a fundamental building block of modern privacy-preserving systems. In isogeny-based cryptography, existing zero-knowledge proof constructions are either limited to chains of small-degree isogenies or are quite inefficient.
Yi-Fu Lai, Luciano Maino
core  

Supersingular Isogeny-based Cryptography: A Survey

open access: yesSupersingular Isogeny-based Cryptography: A Survey
紀要類(bulletin)
openaire   +1 more source

Home - About - Disclaimer - Privacy