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
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 92E
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Question
![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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F648d38bc-f5b9-4baf-95bc-853621e34b39%2Fcf08e451-d861-4453-82bb-b92b9fb51051%2Fcmy3a0s_processed.jpeg&w=3840&q=75)
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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