The goal of this exercise is to work thru the RSAsystem in a simple case:We will use primes p = 71, q = 61 and form71 ·61 = 4331.n =[This is typical of the RSA system which chooses twolarge primes at random generally, and multiplies themto find n. The public will know n but p and q will bekept private.]Now we choose our public key e = 13. This will worksincegcd(13, (p – 1)(q – 1)) = gcd(13, 4200) = 1. [Ingeneral as long as we choose an 'e' with gcd(e, (p-1)(q-1))=1, the system will work.]Next we encode letters of the alphabet numericallysay via the usual:(A=0,B=1,C=2,D=3,E=4,F=5,G=6,H=7,l=8,J=9,K=10,L=11,M=12,N=13,0=14,P=15,Q316,R=17,S=18,T=19,U=20,V=21,W=22,X=23,Y=24,Z=25.)We will practice the RSA encryption on the singleinteger 15. (which is the numerical representation forthe letter "P"). In the language of the book, M=15 isour original message.The coded integer is formed via c = Me mod n.Thus we need to calculate 1513 mod 4331.This is not as hard as it seems and you mightconsider using fast modular multiplication.The canonical representative of 1513 mod 4331 is

Answered: Image /qna-images/answer/57686cdf-bca0-45db-97ca-690c680372b9.jpg

The goal of this exercise is to work thru the RSA system in a simple case: We will use primes p = 71, q = 61 and form 71 · 61 = 4331. n = [This is typical of the RSA system which chooses two large primes at random generally, and multiplies them to find n. The public will known but p and q will be kept private.]

The goal of this exercise is to work thru the RSA system in a simple case: We will use primes p = 71, q = 61 and form 71 · 61 = 4331. n = [This is typical of the RSA system which chooses two large primes at random generally, and multiplies them to find n. The public will known but p and q will be kept private.]

Computer Networking: A Top-Down Approach (7th Edition)

7th Edition

ISBN:9780133594140

Author:James Kurose, Keith Ross

Publisher:James Kurose, Keith Ross

Chapter1: Computer Networks And The Internet

Section: Chapter Questions

Problem R1RQ: What is the difference between a host and an end system? List several different types of end...

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