Uploaded December 2019 | Updated September 2026, 2 weeks ago

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Shamir's Secret Sharing on wikipedia.
en.wikipedia.org/wiki/Shamir%27s_Secret_Sharing

Teaching resource! This was made by a high school teacher in the US to use with Algebra 1, Algebra 2 and Pre-calc. It's a work in progress but you can get it here: dropbox.com/s/snee4of46ige25g/Shamir%20Secret%20Sharing%20.pdf?dl=0

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:
dropbox.com/s/zydcy38eedahbfu/quadratic%20from%20SUMS%20video.ggb?dl=0

Read about finite fields on MathWorld:
mathworld.wolfram.com/FiniteField.html

Shamir Secret Sharing used with Bitcoin:
blog.trezor.io/shamir-backup-the-revolution-of-private-keys-backup-is-here-858687ed7fe7

And for balance, an argument against using Shamir Sharing with Bitcoin, but rather Multisignature.
https://blog.keys.casa/shamirs-secret-sharing-security-shortcomings/

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

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

Thanks to my Patreon supporters who help make these videos possible. Here is a random subset:

Michael Lehenbauer
Peter Gerrard
Matthew Roberts
Ben White
Jan Strohbeck
Lucas Werkmeister

Support my channel and I can make more maths videos:
patreon.com/standupmaths

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

MATT PARKER: Stand-up Mathematician
Website: standupmaths.com
Maths book: wwwh.umble-pi.com
Nerdy maths toys: mathsgear.co.uk