ascii art of words: “Elliptic Curve Mathematics”
Elliptic Curve Mathematics ♦. ♦. ♦♦. ♦♦♦. ♦♦♦♦♦. ♦♦♦♦♦♦♦♦. ♦♦♦♦♦♦♦♦♦♦♦♦♦. ♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦

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Elliptic Curve Mathematics Deep-dive

Elliptic Curve Mathematics For Ethereum Transaction Sending (ALMOST)

Generate a private Ethereum key, derive public key and address and finally create and sign a simple transaction (in 🐍 Python), with the mathematics of the elliptic curves

Naz
18 min readAug 10, 2020

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magic meme
What is this magic?

This post is based on this great overview of how elliptic curves are used to generate private and public keys in cryptocurrencies, as well as this amazing series that goes into greater depths of the mathematics of the elliptic curves, this and this little neat paper. If you like this post, I strongly suggest to check out the linked articles

This article is somewhat logically structured, I think

  1. ♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦ Elliptic Curve — Secp256k1

1.1 ♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦ About the curve

1.2 ♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦♦ Euclidean algorithm

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Naz
Naz

Written by Naz

I crave knowledge. Mathematical knowledge and then computer science.

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