Curves which make Bitcoin possible.

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Curves which make Bitcoin possible.

Рет қаралды 12,402

MetaMaths

Күн бұрын

Пікірлер: 57

@Jesus-kp1ml Ай бұрын

just the best video I've ever found about elliptic curves, congrats!!

@tamarpeer261 3 жыл бұрын

I’d love if you do make a video about hash functions

@harriehausenman8623 3 жыл бұрын

Me too!

@MaximumBan 8 ай бұрын

Please make it a sequel! This is an amazing explanation! We want to learn more!

@user-rm2uh2gj1e 3 жыл бұрын

I was studying cryptography in math and this just pops out thanks for this wonderful video

@MetaMaths 3 жыл бұрын

Thanks for watching !

@harriehausenman8623 3 жыл бұрын

Yeah, sometimes, _the algorith_ is actually good for something :-)

@brandonwalker5011 3 жыл бұрын

Really cool video. I have always though of elliptic curves as something unaccessibly when hearing about them in the context of proofs such as Prof Wiles proof of Fermat but this was very understandable and an application I did not know existed.

@williamtoner8674 3 жыл бұрын

Wonder when this channel will blow up

@pravinrao3669 3 жыл бұрын

I always forget that you have so few viewers

@NonTwinBrothers 3 жыл бұрын

Same lol

@Cpt.Zenobia 3 жыл бұрын

It'd be great if you could do a video about interactive proof systems to verify knowledge of a discrete logarithm or isomorphism between graphs.

@Ahmed-px2rd 3 жыл бұрын

I love this format. Really good work!

@giorgos-4515 3 жыл бұрын

very interesting video keep up the good work :)

@aaronlee1928 3 жыл бұрын

2:35 the text itself is showing a quadratic curve 😳 monospace font 🙌

@anhluong4976 2 жыл бұрын

This is a really good explainer on elliptic curves and their application! I wish I found this earlier lol

@kevinndayishimiye934 3 жыл бұрын

new metamathsh upload lets gooo

@glitchy_weasel 3 жыл бұрын

Such interesting video!

@skide2 4 ай бұрын

Perfect video, congratulations!

@harriehausenman8623 3 жыл бұрын

Wonderful video!

@kattenelvis1778 3 жыл бұрын

Very good video, I find this topic interesting and I should study it sometime

@joaquingutierrez3072 3 жыл бұрын

Amazing video!! I would like to learn more about criptography here :)

@aydencook03 3 жыл бұрын

Do a vid on Hash Functions

@HadiM-rb7yo 3 жыл бұрын

I love you videos ♥ keep it up

@nzuckman 3 жыл бұрын

Funky!

@Shonia Жыл бұрын

Cool video!

@artahir123 4 ай бұрын

0:43 why you show the third point as P+Q as it doesn't seem to be equal to the sum of the P and Q ?

@michalchik 3 жыл бұрын

It almost seems like the beginning of this video is cut off and he starts in mid idea

@evanparshall1323 2 жыл бұрын

I don't understand where those numbers at 2:17 come from. Like where is 72 from the previous points shown. Edit: I went through your code and found you made a mistake at 1:52. You miss a point with X coordinate 72.

@MetaMaths 2 жыл бұрын

Great, thanks for noticing ! The point was to demonstrate quadratic growth of numerators/ denominators

@evanparshall1323 2 жыл бұрын

@@MetaMaths really good video! One question for you. What happens when the intersection point with the curve goes outside of the finite field?

@somgesomgedus9313 3 жыл бұрын

Could you explain why it is so hard to find the key? It doesn't seem so complicated to me at first glance. And why only use finite fields of prime order? Wouldn't it be also an idea to take F_p^m for some m?

@MetaMaths 3 жыл бұрын

you would need to start at a base point P and calculate 2P, 3P and so on until you see the right coordinates. This is computationally expensive. The reality is even harder: read about hash functions, they scramble the coordinates. I never said that a field must have prime order- it is indeed of p^m cardinality. An elliptic curve becomes an Abelian group under such conditions which makes math easy.

@thomasthevenon948 3 жыл бұрын

@@MetaMaths I think the point that was potentially being made is why it is harder to find n given nP and P than to calculate nP given n and P (i.e. why elliptic curve point multiplication isn't just as hard). I believe the reason is that you can use the method of repeated squares as elliptic curves form groups (called double-and-add in this case).

@Jop_pop 3 жыл бұрын

Can you explain why the computation is easy in one direction (finding nP) but hard in the other (finding n)?

@MetaMaths 3 жыл бұрын

Read about fast exponentiation. For example, 10P is 8P + 2P and 8P can be computed in just 3 steps !

@Jop_pop 3 жыл бұрын

@@MetaMaths thanks!

@user-qb5bo3jv3e 2 жыл бұрын

Thanks for video! Please, can you explain how we can calculate "n" at the first time (for private key)? As i understand, we do not do that iterative because iterative way can take very-very long time

@physira7551 3 жыл бұрын

Wow

@artahir123 4 ай бұрын

4:54 how this second equation is true ? 4/3 = 4*3^-1 ok 4*2 = 3 mod 5 ok but 4/3 = 4*3^-1 = 4*2 = 3 mod 5 how ?

@devstoriespod 2 жыл бұрын

what software do you use for these amazing animations??

@MetaMaths 2 жыл бұрын

Manim for animations, Final Cut for editing

@viniciusteixeira9803 2 жыл бұрын

there a some bibliography for this topic? I am a former Mathematician, nowadays i work with data, and i'm got a love for criptology

@oaasal 3 жыл бұрын

Why 4*3^-1 = 4*2?

@Errenium 2 жыл бұрын

only in mod 5. 3^-1 = 2 mod 5 because 3*2 = 6, which is 1 mod 5

@evanparshall1323 2 жыл бұрын

@@Errenium Thanks!

@pravinrao3669 3 жыл бұрын

Can you make a video about parabola and circles and eclipses. well like if you are interested in making them . Would be kinda useful for jee adv. I feel so weird asking this. it's your choice. ok dude. no pressure. problems plus in iit mathematics is good book for jee adv

@pravinrao3669 3 жыл бұрын

I go like. wait a second why does this zach star video just has one like and 1 view

@MetaMaths 3 жыл бұрын

Nice ! Let' s hope for some explosive dynamic !

@ANANDKUMAR-nt7po 3 жыл бұрын

BCTR - Ready for Takeoff

@rentristandelacruz 3 жыл бұрын

I wonder if the crypto spam bots can find this video.

@loluser124 3 жыл бұрын

@@s4br3 i invested my bitcoin with Mr Williams and got a 230% return in just 15 days

@derekhackerthomas3367 3 жыл бұрын

@@s4br3 messge him on telegram hackerthomas and get yours

@tetral_6844 3 жыл бұрын

THE EGG CURVE

@DrunkenUFOPilot 2 жыл бұрын

Mathematicians and their goofy jargon... "Elliptic" curve - 3rd or 4th order. Yet ellipses, to non-cryptographers, are simple 2nd order curves.

@Thomas..Anderson Жыл бұрын

This "adding a point" stuff sounds like something arbitrary made up. Some explanation or rationale would would be in order. Stopped watching after that and disliked.

@MetaMaths Жыл бұрын

If you have point 1 and point 2 on an elliptic curve, a line through them will almost always give you a third point on the curve. So 1 'plus' 2 equals '3', this was the motivation