Let [g] be an element of order 180 in Z181 Explain the operation of the ElGamal public-key cryptosystem. Illustrate your explanation by giving as example an ElGamal system based on the prime p = 181, the primitive root g = 2 modulo 181 and the private key b = 29: Use the public key found in (i) and the session key k = 17 to encrypt the message x = 5.

Let [g] be an element of order 180 in Z181 Explain the operation of the ElGamal public-key cryptosystem. Illustrate your explanation by giving as example an ElGamal system based on the prime p = 181, the primitive root g = 2 modulo 181 and the private key b = 29: Use the public key found in (i) and the session key k = 17 to encrypt the message x = 5.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter2: The Integers

Section2.8: Introduction To Cryptography (optional)

Problem 11E: Suppose the alphabet consists of a through z, in natural order, followed by a blank and then the...

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