1. Dexter wants to set up his own public keys. He chooses p = 23 and q = 37 with e = 17. Answer the following using RSA cryptographic method: %3D a) Encrypt the message '100' and find the CIPHER number (C) to be sent. '100' should be taken together as M while computing encryption C = M° mod pq (Use This Formula) [Here M is 100] b) Find the decryption key 'd', using extended Euclidean GCD algorithm. c) Now decrypt the message '10' (this is the CIPHER message received). M = Cd mod pq (Use This Formula) [Here C is 10]

1. Dexter wants to set up his own public keys. He chooses p = 23 and q = 37 with e = 17. Answer the following using RSA cryptographic method: %3D a) Encrypt the message '100' and find the CIPHER number (C) to be sent. '100' should be taken together as M while computing encryption C = M° mod pq (Use This Formula) [Here M is 100] b) Find the decryption key 'd', using extended Euclidean GCD algorithm. c) Now decrypt the message '10' (this is the CIPHER message received). M = Cd mod pq (Use This Formula) [Here C is 10]

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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Messages are to be encoded using the RSA method, and the primes chosen are p =13 and q = 23, so that n pq = 299. The encryption exponent is e = 13. Thus, the public key is (299, 13.) (a) Use the repeated squaring algorithm to find the encrypted form c of the message m = 84. (b) Show that the decryption exponent d (the private key) is 61. (c) Verify that you obtain the original message after decryption. Use the repeated squaring algorithm.
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