Consider the elliptic curve group based on the equation y² = 2³+az+b mod p where a = 2, b=1, and p = 5. This curve contains the point P = (0, 1). The order of this elliptic curve group is the prime number 7, and therefore we can be sure that P is a primitive element. Another element in this group is Q = (0,4). The index of Q with respect to P is the least positive integer d such that Q dP. What is d, the index of Q?

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter2: Basic Linear Algebra
Section2.5: The Inverse Of A Matrix
Problem 10P
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Consider the elliptic curve group based on the equation
y² = 2³+az+b
mod p
where a = 2, b=1, and p = 5.
=
This curve contains the point P
(0, 1). The order of this elliptic curve group is the prime number 7, and therefore we can be sure
that P is a primitive element. Another element in this group is Q = (0,4). The index of Q with respect to P is the least positive
integer d such that Q dP. What is d, the index of Q?
Transcribed Image Text:Consider the elliptic curve group based on the equation y² = 2³+az+b mod p where a = 2, b=1, and p = 5. = This curve contains the point P (0, 1). The order of this elliptic curve group is the prime number 7, and therefore we can be sure that P is a primitive element. Another element in this group is Q = (0,4). The index of Q with respect to P is the least positive integer d such that Q dP. What is d, the index of Q?
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