Consider the elliptic-curve group defined by { (x,y) | x,y ∈ Z11 and x2 mod 11 = x3 + 2x + 5 mod 11 } (ie, the group you get when a=2, b=5, and p=11). What is (3,4) + (8,4) in this group? What value do you get for s?______ What value do you get for x3?______ What value do you get for y3?_______

Consider the elliptic-curve group defined by { (x,y) | x,y ∈ Z11 and x2 mod 11 = x3 + 2x + 5 mod 11 } (ie, the group you get when a=2, b=5, and p=11). What is (3,4) + (8,4) in this group? What value do you get for s? What value do you get for x3? What value do you get for y3?___

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Consider the elliptic-curve group defined by { (x,y) | x,y ∈ Z₁₁ and x² mod 11 = x³ + 2x + 5 mod 11 } (ie, the group you get when a=2, b=5, and p=11).

What is (3,4) + (8,4) in this group?

What value do you get for s?______

What value do you get for x₃?______

What value do you get for y₃?_______

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