Math Behind Bitcoin and Elliptic Curve Cryptography (Explained Simply)

Elliptic curve cryptography is the backbone behind bitcoin technology and other crypto currencies, especially when it comes to to protecting your digital assets. So in todays video we will look at the math behind elliptic curve cryptography and how it protects your private key.
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🔑 BTC Wallet Address: 16EtKHG2rwH2NqA4MniK4JRhzPyv5AeiER
🔑 ETH Wallet Address: 0x1db0fa9a379e46cb205a39a0766e30d3e3d0d11e
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Thank you so much for watching!
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[FlorianBuchner]

Thumbs up. I watched 4 videos about ecc now and this is the first one that metioned why it is harder to crack nP than calculating it. To be able to reduce 10P to only 4 operations is the only reason why this stuff works but nobody else mentioned it. Not even Computerphile.

[khalilal-chafie]

One of the best explanations ever .. I would really appreciate it if you could make another video talking in details about the points addition and how it works with some examples if possible .. Thanks in advance 👍

[MatthewMarcus]

My brain hurts. But you made it hurt much less than Vitalik. I’m now going to impress the F out of my friends. 🤓

[mariojohnson]

I remember doing these equations in high school. Many people take advance math in school and people say why are we learning this, I never understood why people question the practicality of math to every day life.

[GreenBoiler]

Thanks for the video. I only made it to 6:03 Then my brain threw a null reference error after a stackoverflow error watching it over and over. Rebooting

[ronneymccarthy]

I understood very little but still liked the video, lol

[jimkhondekar]

At 9:31 you said division doesn't exist in elliptic curve cryptography. But I haven't found any property that says the statement. Did you mean "extremely difficult" to divide of "impossible". Because in mathematics impossible and extremely difficult are not two same things. You might say the calculation is extremely hard because of some astronomically large numbers, but you can't simply say division doesn't exist because of that. Division doesn't exist if it's related to infinite. Example:- something divided by 0 doesn't exist. Simply because the calculation is beyond human ability, doesn't means it doesn't exist mathematically. Mathematics doesn't care what human can do or cannot.
Please clarify if "division doesn't exise" or "extremely hard".
Please reply. Thank you.

[ozzyfromspace]

This really helped me start to see what’s going on for a class I’m taking. Thanks, Aimstone!

[abubakarismail]

This is my first time to comment on a tutorial.
Man this is very precise explanation. I’m sticking to this channel

[dennisbarzanoff]

this is the first time i actually understood ECC. the first time. thx so much!

[AndreyLomakin]

Thank you for the very good video. But it takes 256 steps to compute P, not 510. Let see on simpler example: 8*P = 2 ^3 * P. Steps: 1) P+P = 2P 2) 2P+ 2P = 4P 3) 4P + 4P = 8P. 3 steps. The same to the key with 255, which has a max value equal to (2^256 - 1)

[jeffwilken]

Absolutely first-rate explanation! Thank you so much.

[tinashechipomho]

For the first time I get a simple and easy to understand explaination

[Anewghost]

Very good introduction although I am not sure if I understand all, but at least I don’t feel boring watching the video. Thumb up 👍🏻

[Isaac-Ft]

The best simple explanation for the BTC system, I have one simple question how some people could generate the private key?

[vincentdonghia]

What would P be in this case? Is it independent of big X?

[hangoutwidfrnz]

Perfect explanation, but I must say that this is for someone with atleast a basic understanding of graph theory and Algebra.

Thanks for the video

[lance]

Beatiful video I was looking for something like this, I love math behind bitcoin ann in algorithms as well, nice information already subscribe and thumps up my friend.

[Nik-dzyc]

after looking at lattice cryptography for so long, I'm glad to finally understand something

[rainbowfx]

I like his voice, it sounds fun. the content very easy to understand thankyou so much.