The Wonderful World of Elliptic Curve Cryptography

Prof Bill Buchanan OBE FRSE
Coinmonks
Published in
8 min readJul 26, 2018

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Introduction

So what protects your privacy and security probably more than anything else on the Internet? That will be Elliptic Curve , and especially:

y² = x³+ax+b

where 4a³+27b² ≠ 0 (and which is need to avoid singular points). The most popular curve is a Secp256k1 (or Curve 25519), and is defined with a=0 and b=7:

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Prof Bill Buchanan OBE FRSE
Coinmonks

Professor of Cryptography. Serial innovator. Believer in fairness, justice & freedom. Based in Edinburgh. Old World Breaker. New World Creator. Building trust.