Elliptic Curve Cryptography in Python

Elliptic curve arithmetic varies depending on the curve form. Weierstrass and Koblitz curves use geometric constructions for arithmetic operations. Addition involves drawing a line through two points, finding its intersection with the curve, and reflecting that intersection across the x-axis. Doubling follows a similar approach but uses a tangent line at the point. The Weierstrass form is symmetric about the x-axis, making point negation straightforward, whereas the Koblitz form lacks this symmetry and requires a different formula for negation. Edwards curves, in contrast, do not rely on geometric visualization with lines. Instead, they use algebraic formulas for arithmetic. Unlike Weierstrass and Koblitz curves, which have separate formulas for addition and doubling, Edwards curves employ a single, unified formula for both operations. Additionally, negation in Edwards curves involves considering the neutral point rather than simple reflection. Do you need to memorize all these formulas? Not at all! With LightECC (Lightweight Elliptic Curve Cryptography) in Python, you can perform elliptic curve arithmetic effortlessly using standard operators. The library allows you to perform addition, subtraction, multiplication, and division without dealing with the complexities of different curve forms. Watch the video to learn more about elliptic curve arithmetic and how LightECC simplifies cryptographic computations in Python. Repo: https://github.com/serengil/LightECC Please Subscribe! That's what keeps me going ► https://bit.ly/40NfIS7 Want more? Connect with me here: Blog: https://sefiks.com/ Twitter: https://twitter.com/serengil Instagram: https://www.instagram.com/serengil Facebook: https://www.facebook.com/sefikscom Linkedin: https://www.linkedin.com/in/serengil/ If you do like my videos, you can support my effort with your financial contributions on - Patreon: https://www.patreon.com/serengil?source=youtube - GitHub Sponsors: https://github.com/sponsors/serengil - Buy Me a Coffee: https://buymeacoffee.com/serengil