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equation Consider the elliptic curve group based on the where a = y² = x³ + ax + b X3 7, b = 2, and p = 11. mod p = (7,3). The order of This curve contains the point P this elliptic curve group is the prime number 8, and therefore we can be sure that P is a primitive element. Another element in this group is Q = (,). The index of Qwith respect to P is the least positive integer d such that Q = dP. What is d, the index of Q?

equation Consider the elliptic curve group based on the where a = y² = x³ + ax + b X3 7, b = 2, and p = 11. mod p = (7,3). The order of This curve contains the point P this elliptic curve group is the prime number 8, and therefore we can be sure that P is a primitive element. Another element in this group is Q = (,). The index of Qwith respect to P is the least positive integer d such that Q = dP. What is d, the index of Q?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 92E
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equation Consider the elliptic curve group based on the y² = x³ + ax + b where a = 7, b = 2, and p - = 11. mod p = (7,3). The order of This curve contains the point P this elliptic curve group is the prime number 8, and therefore we can be sure that P is a primitive element. Another element in this group is Q = (,). The index of Qwith respect to P is the least positive integer d such that Q dP. What is d, the index of Q?
Transcribed Image Text:equation Consider the elliptic curve group based on the y² = x³ + ax + b where a = 7, b = 2, and p - = 11. mod p = (7,3). The order of This curve contains the point P this elliptic curve group is the prime number 8, and therefore we can be sure that P is a primitive element. Another element in this group is Q = (,). The index of Qwith respect to P is the least positive integer d such that Q dP. What is d, the index of Q?
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