Consider the elliptic curve group based on the equation where a = 10, b = 8, and p = 11. In this group, what is 2(2, 5) = (2, 5) + (2, 5) ? In this group, what is (2, 6) + (6, 3)? What is the inverse of (6, 8) (with entries in Z11)? y² = x³ + ax + b mod P

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
Problem 24EQ
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Consider the elliptic curve group based on the equation
where a = 10, b = 8, and p
= 11.
In this group, what is 2(2,5) = (2, 5) + (2, 5)?
In this group, what is (2, 6) + (6, 3)?
What is the inverse of (6, 8) (with entries in Z11)?
y² = x³ + ax + b
mod p
Transcribed Image Text:Consider the elliptic curve group based on the equation where a = 10, b = 8, and p = 11. In this group, what is 2(2,5) = (2, 5) + (2, 5)? In this group, what is (2, 6) + (6, 3)? What is the inverse of (6, 8) (with entries in Z11)? y² = x³ + ax + b mod p
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