Let E : y2 = x3 + 3x + 4 be an elliptic curve over F37. (a) Find all the elements of the elliptice curve group. (b) Find the order of the group. (c) Find a primitive element of this group and call it G. (d) Compute [30]G = G ⊕ G ⊕ · · · ⊕ G (addition of 30 many G’s)   kindly help with full explanation. Thank you!

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter2: Basic Linear Algebra
Section: Chapter Questions
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Let E : y2 = x3 + 3x + 4 be an elliptic curve over F37.


(a) Find all the elements of the elliptice curve group.
(b) Find the order of the group.
(c) Find a primitive element of this group and call it G.
(d) Compute [30]G = G ⊕ G ⊕ · · · ⊕ G (addition of 30 many G’s)

 

kindly help with full explanation. Thank you!

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