The Beauty and Power of Elliptic Curve Cryptography

Prof Bill Buchanan OBE FRSE
7 min readJul 13, 2023

Here is the Spotify podcast:

and Apple:

I have a secret. And you have a secret. And together we can merge our secret into another secret. What I am outlining here is the beauty of the Elliptic Curve Diffie Hellman (ECDH) method, and it is protecting your rights to privacy in the access that you have to this podcast. And what about trust? Well, there’s a chance that the Web site that you are receiving this from is using the ECDSA (Elliptic Curve Digital Signature Algorithm). So, in this podcast, I’m going to outline something that is pure mathematical beauty: the Elliptic Curve.

The Diffie-Hellman key exchange method

But, before we begin, let’s look at a bit of history. In 1976, possibly it is Whitfield Diffie and Martin Hellman…

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Prof Bill Buchanan OBE FRSE
Prof Bill Buchanan OBE FRSE

Written by Prof Bill Buchanan OBE FRSE

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

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