Consider the elliptic curve group based on the equation y² = x³ + ax + b mod p where a = 645, b= 948, and p 967. According to Hasse's theorem, what are the minimum and maximum number of elements this group might have? S#ES

Consider the elliptic curve group based on the equation y² = x³ + ax + b mod p where a = 645, b= 948, and p 967. According to Hasse's theorem, what are the minimum and maximum number of elements this group might have? S#ES

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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A naïve solution for the above-stated problem is to evaluate all of the possible combinations of different pieces of varying size to find the maximum revenue-generating combination. Although this method seems the easiest and quick to practice, it has exponential time complexity. So there is a need to figure out a better method than this.

Question

Consider the elliptic curve group based on the equation
y² = x³ +ar+b mod p
where a = 645, b=948, and p
=
967.
According to Hasse's theorem, what are the minimum and maximum number of elements this group might have?
≤ #E≤

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