Elliptic Curve Diffie Hellman | đường cong elliptic

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A short video I put together that describes the basics of the Elliptic Curve Diffie-Hellman protocol for key exchanges.

There is an error at around 5:30 where I state that the point at infinity is the result of point-doubling a point whose X coordinate is zero. This is incorrect, it should be when the Y coordinate is zero.

Also I state ‘geographically’ instead of ‘geometrically’.

Picture Elliptic Curve Diffie Hellman Tag Elliptic Curve Diffie Hellman

đường cong elliptic,Elliptic Curve Cryptography

Xem thêm bài viết thuộc chuyên mục: Crypto

44 bình luận về “Elliptic Curve Diffie Hellman | đường cong elliptic”

1. Thanks from VietNam

2. Thank you for this, I've understood how to do Diffie Hellman and can whiteboard it from memory, but this finally made ECDH click for me.

3. Sehr gut beschrieben, vielen Dank!

4. Excellent explanation thank you for This great toturial

5. Thanks, this video really helps me to understand ECC.

6. Let's be honest, this guy has a real talent for explaining things.

7. How does Bob know 9A is 27G? Since Alice didn't share the private key "beta", Bob will only know he has to do 9 * (7,6). So the question is how does Bob calculate 9 * (7, 6) ?

8. How can you define this continuous cubic curve only among the integers? If you force x to be integers, y is bound to be irrational at least once.

9. How do you add two points when one of them is at infinity?

10. It would be cool to do a reupload of this video that explains the group operation behind adding eliptic curve points (P + P)

11. Even after six years… Still the best, and by far, simple explanation of elliptic curve cryptography. No way too complicated math statements and no oversimplified kids drawing explaining what a public key is.

Many thanks 😀

12. minute 16:40
how to know that 27G = 8G
we know that the group is cyclic so the mod here is 19 (the ord of G) not 17
27G % 19G = 8G

13. Couldn’t Eve just keep computing new points until she finds either A or B? Then she would know either alpha, beta or both.

14. Thx thx thx thx, This video is awesome, really nice explanation!

15. mantap pak

16. Very insightful! Thank you! 🙂

17. You do not consider E ( GF(p^n) )?

18. when they have the same information point (13,7) is this point the real massge or it will be decrypte to know the real point ?

19. I have been looking for some clear explanation related to ECC and this is by far the best I have found.

20. Nice video. Would have been even nicer if you could have plug in the "algebraic solution of the product" into the equation so the people would see that this is actually on the curve. Otherwise it just falls from the sky

21. At 16:40 Alice discovers 27.G as 3.9.G ; but Alice does not know b , she only knows B. Now what?

22. concise teaching video !

23. F.A.I.L.

24. Thank you!

25. Awesome!! thank you!

26. Best explanation ever. Thank you very much.

27. its GG

28. The Best Explaination in under 20 minutes EVER. Salute brother 😉

29. Hi Robert ,if 19G , what will happen?

30. Hi @robert Is there any formula to calculate n ?

31. 8:00 Isn't # of points on EC infinite?

32. Wouldn't the scalar multiplication need to be optimized more than just P+P+P… k times. I would think an initial list of points {2P=P+P, 4P=2P+2P, 8P=4P+4P… } so that the addition could just sum powers of 2. Making scalar multiplication O(logN) in one direction and O(n) in the other, giving a nice DLP.

33. How did 27G become 8G?

34. Do we get 27G = 8G because 27G mod 19 is 8G? (16:53

35. How did you get h = 1 at 15:40?

36. but how do i transmit a message using this?

Let´s say I want to tell alice the message "5", how do i go about that?
How is this information contained in a*b*G ?

37. This is the best explanation I've found, whether in print or in video, and boy have I looked hard. Thank you, Robert.

38. at 11.45: shouldnt it be P = βAG instead of P = βαG? Since Bob doesnt know Alices private key?

39. Why can't eve find the alpha and beta values?

40. an excellent method of explaining ECC, thanks

41. This is extraordinarily attractive. Elliptic curves have never been sexier. Can I take you out some time?

42. Can you pls explain it in Tamil.

43. What is the difference between ECC and ECDH

44. pikapika@

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