Consider the elliptic curve group based on the equation y = x + ax +b mod p where a = 2, b = 4, and p = 11. In this group, what is 2(0, 2) = (0, 2) + (0, 2)? %3D (3,2) In this group, what is (0, 9) + (2, 4)? What is the inverse of (2, 7) (with entries in Z11)?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.1: The Geometry And Algebra Of Vectors
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Consider the elliptic curve group based on the equation
y = x* + ax + b
mod p
where a = 2, b = 4, and p = 11.
In this group, what is 2(0, 2) = (0, 2) + (0, 2)?
%3D
(3,2)
In this group, what is (0, 9) + (2,4)?
What is the inverse of (2, 7) (with entries in Z1)?
Transcribed Image Text:Consider the elliptic curve group based on the equation y = x* + ax + b mod p where a = 2, b = 4, and p = 11. In this group, what is 2(0, 2) = (0, 2) + (0, 2)? %3D (3,2) In this group, what is (0, 9) + (2,4)? What is the inverse of (2, 7) (with entries in Z1)?
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