Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
(5) Alice and Bob agree to use the prime p = 2663 and the base a = 5 for communications using the ElGamal public-key cryptosystem (as described in Cryptosystem 7.1 in Stinson's 4th ed book). Let (p, a, BAlice) be Alice's public key and (p, a, Bob) be Bob's public key. (a) Alice chooses a = 861 as her private key. Determine Alice. (b) Bob chooses b = 655 as his private key. So Bob = 5655 = 568 (mod 2663). Alice encrypts the message x = 1500 using the random number k = 789. What is the ciphertext (y₁, 92) that Alice sends to Bob?

(5) Alice and Bob agree to use the prime p = 2663 and the base a = 5 for communications using the ElGamal public-key cryptosystem (as described in Cryptosystem 7.1 in Stinson's 4th ed book). Let (p, a, BAlice) be Alice's public key and (p, a, Bob) be Bob's public key. (a) Alice chooses a = 861 as her private key. Determine Alice. (b) Bob chooses b = 655 as his private key. So Bob = 5655 = 568 (mod 2663). Alice encrypts the message x = 1500 using the random number k = 789. What is the ciphertext (y₁, 92) that Alice sends to Bob?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
See similar textbooks
icon
Related questions
Question

Alice and Bob 1

(5) Alice and Bob agree to use the prime p = 2663 and the base a = 5 for communications using the ElGamal public-key cryptosystem (as described in Cryptosystem 7.1 in Stinson's 4th ed book). Let (p, a, Alice) be Alice's public key and (p, a, Bob) be Bob's public key. (a) Alice chooses a = 861 as her private key. Determine Alice. (b) Bob chooses b = 655 as his private key. So Bob = 5655 = 568 (mod 2663). Alice encrypts the message x = 1500 using the random number k = 789. What is the ciphertext (y₁, y2) that Alice sends to Bob?
Transcribed Image Text:(5) Alice and Bob agree to use the prime p = 2663 and the base a = 5 for communications using the ElGamal public-key cryptosystem (as described in Cryptosystem 7.1 in Stinson's 4th ed book). Let (p, a, Alice) be Alice's public key and (p, a, Bob) be Bob's public key. (a) Alice chooses a = 861 as her private key. Determine Alice. (b) Bob chooses b = 655 as his private key. So Bob = 5655 = 568 (mod 2663). Alice encrypts the message x = 1500 using the random number k = 789. What is the ciphertext (y₁, y2) that Alice sends to Bob?
Expert Solution
steps

Step by step

Solved in 3 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS