# Elliptic Curve ## Metadata **Status**:: #x **Zettel**:: #zettel/index **Created**:: [[2024-03-25]] **Topic**:: [[♯ Cryptography]] ## Synopsis The most popular elliptic curve is the Weierstrass curve which is defined as $ y^2 = x^3 + ax + b $ ## Index - [[Elliptic Curve Addition]] - [[Elliptic Curve in the Homogeneous Coordinate]] - [[Homogeneous Coordinate]] - [[Elliptic Curve Over Finite Field]] - Modular Arithmetic - [[Modular Multiplicative Inverse]] - [[Different Orders in Elliptic Curve]] - [[Elliptic Curve Scalar Multiplication]] - [[Elliptic Curve Over Extension Field]] - [[Elliptic Curve Twist]] - [[Elliptic Curve Paring]] - Side-channel vulnerabilities [[Modular Multiplicative Inverse]] - [[Different Orders in Elliptic Curve]] - [[Elliptic Curve Scalar Multiplication]] - [[Elliptic Curve Over Extension Field]] - [[Elliptic Curve Twist]] - [[Elliptic Curve Paring]]- [[Mike Rosing - Defense Against Power Analysis Attacks Avoiding Elliptic Curve Side Channel Attacks (Highlights)]] ## References - [[Calibre 557 - Mike Rosing - Elliptic Curve Cryptography for Developers|Mike Rosing - Elliptic Curve Cryptography for Developers]] - [[Timofey Yaluhin - Elliptic Curves Cheat Sheet (Highlights)]]