Alice selects the private key 41 and Bob selects the private key 20. What is A, the public key of Alice? 62 What is B, the public key of Bob? 2472 After exchanging public keys, Alice and Bob both derive the same secret elliptic curve point TAB. The shared secret will be the x-coordinat

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
icon
Related questions
Question
Consider the elliptic curve group based on the equation
where a =
1405, b = 2011, and p = 2531.
We will use these values as the parameters for a session of Elliptic Curve Diffie-Hellman Key Exchange. We will use P = (0,98) as a
subgroup generator.
You may want to use mathematical software to help with the computations, such as the Sage Cell Server (SCS).
On the SCS you can construct this group as:
G=EllipticCurve(GF(2531),[1405,2011])
Here is a working example.
(Note that the output on SCS is in the form of homogeneous coordinates. If you do not care about the details simply ignore the 3rd
coordinate of output.)
62
Alice selects the private key 41 and Bob selects the private key 20.
What is A, the public key of Alice?
y² = x³ + ax+b mod p
What is B, the public key of Bob?
2472
After exchanging public keys, Alice and Bob both derive the same secret elliptic curve point TAB. The shared secret will be the x-coordinate
of TAB. What is it?
Transcribed Image Text:Consider the elliptic curve group based on the equation where a = 1405, b = 2011, and p = 2531. We will use these values as the parameters for a session of Elliptic Curve Diffie-Hellman Key Exchange. We will use P = (0,98) as a subgroup generator. You may want to use mathematical software to help with the computations, such as the Sage Cell Server (SCS). On the SCS you can construct this group as: G=EllipticCurve(GF(2531),[1405,2011]) Here is a working example. (Note that the output on SCS is in the form of homogeneous coordinates. If you do not care about the details simply ignore the 3rd coordinate of output.) 62 Alice selects the private key 41 and Bob selects the private key 20. What is A, the public key of Alice? y² = x³ + ax+b mod p What is B, the public key of Bob? 2472 After exchanging public keys, Alice and Bob both derive the same secret elliptic curve point TAB. The shared secret will be the x-coordinate of TAB. What is it?
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Encryption and decryption
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Database System Concepts
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education