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How to keep an open secret with mathematics.

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This video is sponsored by ExpressVPN. Go to https://expressvpn.com/standupmaths and find out how you can get 3 months free.

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

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

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

Shamir Secret Sharing used with Bitcoin:
https://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.
https://www.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:
https://www.patreon.com/standupmaths

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

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

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