(4) Elgamal public key cryptosystem (encryption): Start with the prime p = 29 and the primitive root g = 2. (a) Alice sends Bob the public key A = 12. Bob wants to send the message m₁ = 13 to Alice. Bob chooses the random element k = 3. Using the Elgamal public key cryptosystem, compute the pair of num- bers (C1, C₂) that Bob sends to Alice. Note: Do not work out how Alice computes the plaintext message m₁ from the ciphertext (C₁, C₂). (b) Bob encrypts another message m2 and sends the pair of numbers (12, 19) to Alice. Alice's secret key is a = 7. Using Elgamal public key decryption, Alice computes the plaintext message m₂ from the ciphertext (8,2). What is the number m2 that Alice obtains?

(4) Elgamal public key cryptosystem (encryption): Start with the prime p = 29 and the primitive root g = 2. (a) Alice sends Bob the public key A = 12. Bob wants to send the message m₁ = 13 to Alice. Bob chooses the random element k = 3. Using the Elgamal public key cryptosystem, compute the pair of num- bers (C1, C₂) that Bob sends to Alice. Note: Do not work out how Alice computes the plaintext message m₁ from the ciphertext (C₁, C₂). (b) Bob encrypts another message m2 and sends the pair of numbers (12, 19) to Alice. Alice's secret key is a = 7. Using Elgamal public key decryption, Alice computes the plaintext message m₂ from the ciphertext (8,2). What is the number m2 that Alice obtains?

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

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