How to keep an open secret with mathematics.: This video is sponsored by ExpressVPN. Go to and find out how you can get 3 months free.

Shamir’s Secret Sharing on wikipedia.

I made the animated parabola in GeoGebra with help from my mate Ben Sparks. Here is the GeoGebra5 file if you’d like to have a play:

Read about finite fields on MathWorld:

Shamir Secret Sharing used with Bitcoin:

And for balance, an argument against using Shamir Sharing with Bitcoin, but rather Multisignature.

– None yet, let me know if you spot any mistakes!

Thanks again, as always, to Jane Street for supporting this channel.

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Filming and editing by Alex Genn-Bash
Music by Howard Carter
Design by Simon Wright

MATT PARKER: Stand-up Mathematician
Maths book:
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How to keep an open secret with mathematics.

Author by: standupmaths