Consider the points which satisfy the equation mod p y² = x³ + ax + b where a = 4, b = 6, and p = 23. Enter a comma separated list of points (x, y) consisting of all points in Z23 satisfying the equation. (Do not try to enter O, the point at

Consider the points which satisfy the equation mod p y² = x³ + ax + b where a = 4, b = 6, and p = 23. Enter a comma separated list of points (x, y) consisting of all points in Z23 satisfying the equation. (Do not try to enter O, the point at

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter2: Basic Linear Algebra

Section: Chapter Questions

Problem 15RP

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Topological Sort

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Question

Consider the points which satisfy the equation
y² = x³ + ax + b
mod p
where a = 4, b = 6, and p = 23.
Enter a comma separated list of points (x, y) consisting of all points in Z23 satisfying the equation. (Do not try to enter O, the point at infinity.)
What is the cardinality of this elliptic curve group?

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