Set up an RSA public-key cryptosystem using primes p = 71, q = 31 and a public exponent of 191 by finding the appropriate (positive) private exponent using the extended euclidean algorithm given the table below and identities: ri = ri+1qi+1 + ri+2,          si+2 = si − qi+1si+1       and           ti+2 = ti − qi+1ti+1       si(a) +ti(b)=ri i ri qi si ti 0 a x 1 0 1 b   0 1 2         3         4           What is the numerical value for n? 2201  What is the numerical value for a? 2100  What is the numerical value for b? 191 What is the numerical value for z? 191 What is the numerical value for q3, S3 and w

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
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Set up an RSA public-key cryptosystem using primes = 71, = 31 and a public exponent of 191 by finding the appropriate (positive) private exponent using the extended euclidean algorithm given the table below and identities:

ri ri+1qi+1 + ri+2,          si+2 = si − qi+1si+1       and           ti+2 = ti − qi+1ti+1       si(a) +ti(b)=ri

i

ri

qi

si

ti

0

a

x

1

0

1

b

 

0

1

2

 

 

 

 

3

 

 

 

 

4

 

 

 

 

 

What is the numerical value for n? 2201 

What is the numerical value for a? 2100 

What is the numerical value for b? 191

What is the numerical value for z? 191

What is the numerical value for q3, S3 and w

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