Question
In: Advanced Math
Exercise 9.9.1: Breaking RSA by factoring. Bob publishes his public key (e, N) = (109, 221)...
Exercise 9.9.1: Breaking RSA by factoring.
Bob publishes his public key (e, N) = (109, 221)
(a)
Show that if Eve can factor N (N = 13 · 17), then she can determine Bob's private key d. What is Bob's private key?
(b)
Now suppose that Eve intercepts the message 97. Use Bob's private key to decrypt the message.
Solutions
Colby Messinger answered 2 years agoRelated Solutions
a) In a public-key system using RSA, n=77 and its public key is e=23. What is...
a) In a public-key system using RSA, n=77 and its public key is
e=23. What is the private key d? Show your steps of
calculation.
b) Let M=3. Compute its cipher text under the above RSA. Please
use the divide conquer algorithm to compute the exponential
function for the cipher text.
7. Suppose Bob has the public key (n, e) = (21733, 691). You are Eve, and...
7. Suppose Bob has the public key (n, e) = (21733, 691). You are
Eve, and you have intercepted the ciphertext C = 21012. On a whim,
you decide to check whether C and n are relatively prime, and to
your delight, you discover that they are not! Show how you can use
this to recover the plaintext M.
Note: The chance that M (or equivalently C) is not relatively
prime to the modulus n is1/p + 1 /q− 1/pq...
Suppose Alice and Bob have RSA public keys in a file on a server. They communicate...
Suppose Alice and Bob have RSA public keys in a file on a
server. They communicate regularly, using authenticated,
confidential message. Eve wants to read the messages but is unable
to crack the RSA private keys of Alice and Bob. However, she is
able to break into the server and alter the file containing Alice’s
and Bob’s public keys.
(1) How should Eve alter the file to so that she can read
confidential messages sent between Alice and Bob, and...
IN PYTHON Generate valid keys (e, n) for the RSA cryptosystem.
IN PYTHON
Generate valid keys (e, n) for the RSA cryptosystem.
Alice wants to send a plaintext message m = 10 to Bob secretly using RSA public...
Alice wants to send a plaintext message m = 10 to Bob secretly
using RSA public key cryptosystem. Bob selects p = 7, and q = 13
with e = 5. You have to perform following tasks:
a. Compute and list Bob’s public and private keys.
b. Compute the ciphertext that Alice will send to Bob using
plaintext message m = 10.
c. Recover the actual plaintext from the ciphertext sent by
Alice
it is a question of discrete math RSA is the most widely used public key cryptosystem....
it is a question of discrete math
RSA is the most widely used public key cryptosystem.
In this discussion, you will apply RSA to post and read messages.
For this reflection discussion, use the prime numbers p = 3 and q =
11.
Using the public key e = 3, post a phrase about something that you
found interesting or relevant in this course. Include only letters
and spaces in your phrase. Represent the letters A through Z by
using...
RSA: Public and Private Key Encryption im doing this on an ubuntu virtual machine but unsure...
RSA: Public and Private Key Encryption
im doing this on an ubuntu virtual machine but unsure how to
Create your public and private keys
and create and encrypted message using python
Then encrypt the message with your private key
I need output of a
Message you sent (in plain text and encrypted)
Message you received (in plain text and encrypted)
RSA: Public and Private Key Encryption im doing this on an ubuntu virtual machine but unsure...
RSA: Public and Private Key Encryption
im doing this on an ubuntu virtual machine but unsure how to
Create your public and private keys
and create and encrypted message using python
Then encrypt the message with your private key
I need output of a
Message you sent (in plain text and encrypted)
Message you received (in plain text and encrypted)
In python Write a program to implement RSA algorithm based on the public key. def encryptmessage():...
In python
Write a program to implement RSA algorithm based on the public
key.
def encryptmessage():
def decryptmessage():
encryptmessage ()
decryptmessage ()
No in-built functions and third-party APIs will be allowed.
Answer digital signatures question. assume Alice has the RSA key (eA, dA, nA) and Bob has...
Answer digital signatures question. assume Alice has the RSA key
(eA, dA, nA) and Bob has the RSA key(eB, dB, nB), where eA, eB, nA,
and nB are public, dA is known only to Alice, and dB is known only
to Bob.
(a) Describe how Alice could use her RSA key to sign a public
message m, and explain why this approach satisfies the objective of
non repudiation.
(b) Describe how Alice could encrypt and send a secret message
to...
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