What is...group-based cryptography?
Goal.
I would like to tell you a bit about my favorite subfields of mathematics (in no particular order), highlighting key theorems, ideas or concepts and why I like them so much. This is a variation of “My favorite theorems” and I park the videos on that list as well.
This time.
What is...group-based cryptography? Or: Subfields of mathematics 25.
Disclaimer.
Nobody is perfect, and I might have said something silly. If there is any doubt, then please check the references.
Slides.
http://www.dtubbenhauer.com/youtube.html
TeX files for the presentation.
https://github.com/dtubbenhauer/My-Te...
Thumbnail.
Picture from • What is...Diffie-Hellman key exchange?
Main discussion.
https://en.wikipedia.org/wiki/Diffie%...
https://en.wikipedia.org/wiki/Braid_g...
Background material.
https://en.wikipedia.org/wiki/End-to-...
https://www.gbnews.ch/what-is-end-to-...
https://en.wikipedia.org/wiki/Key_(cr...)
https://en.wikipedia.org/wiki/Key_exc...
https://en.wikipedia.org/wiki/Discret...
https://www.iacr.org/archive/crypto20...
https://en.wikipedia.org/wiki/Public-...
https://en.wikipedia.org/wiki/Ellipti...
https://en.wikipedia.org/wiki/RSA_(cr...)
https://en.wikipedia.org/wiki/Cramer%...
https://en.wikipedia.org/wiki/ElGamal...
Computer talk.
https://demonstrations.wolfram.com/St...
https://demonstrations.wolfram.com/RS...
https://en.wikipedia.org/wiki/Diffie%...
Pictures used.
https://en.wikipedia.org/wiki/Diffie%...
Picture from • What is...Diffie-Hellman key exchange?
Another picture from • What is...Diffie-Hellman key exchange?
Picture from • What are...representations?
A variation of https://en.wikipedia.org/wiki/Semigro...
YouTube and co.
• Secret Key Exchange (Diffie-Hellman) - Com...
• Explaining the Diffie-Hellman Key Exchange
• Diffie-Hellman Key Exchange
• What is...Diffie-Hellman key exchange? (Shameful selfpromotion)
#crypthography
#grouptheory
#mathematics