The Gateway to Computer Science Excellence
First time here? Checkout the FAQ!
x
0 votes
56 views
In a $\text{RSA cryptosystem}$, a participant uses two prime numbers $7$ and $11$  to generate public and private keys. If the public key is $13$, then the private key is ____ 

  1. $32$
  2. $33$
  3. $34$
  4. $37$
asked in Computer Networks by Boss (17.2k points) | 56 views

1 Answer

+2 votes
Best answer
Given: p=7 q=11

Public key = 13

n=p*q=77

$\Phi$ (n)=(p-1)*(q-1)=6*10=60

Let private key be e

13*e mod $\Phi$ (n)=1

13*e mod 60=1

Therefore e=37 Option (D)
answered by Active (2.6k points)
selected by
Answer:

Related questions

Quick search syntax
tags tag:apple
author user:martin
title title:apple
content content:apple
exclude -tag:apple
force match +apple
views views:100
score score:10
answers answers:2
is accepted isaccepted:true
is closed isclosed:true
50,069 questions
53,206 answers
184,550 comments
70,420 users