In each of the following, the two prime numbers p and q, and the message M to be encrypted using RSA are given. For each case, determine the private and public keys and the encrypted message.
a) p = 7, q = 11, M = 6
b) p = 11, q = 13, M = 9
c) p = 17, q = 31, M = 5
In each of the following, the two prime numbers p and q, and the message M...
In a RSA cryptosystem, a participant A uses two prime numbers p = 13 and q = 17 to generate her public and private keys. If the public key of A is 35, then the private key of A is 11. Alice wants to encrypt a message to Bob by using the RSA algorithm and using keys in (A) The plaintext = “HI”. Answer: _______________
Exercise 4: Suppose Bob's set of RSA keys includes p 17, q 23, and e 5. Determine Bob's public and private keys. Show how Alice would encrypt the message M 200, and show Bob's decryption of the message. Exercise 4: Suppose Bob's set of RSA keys includes p 17, q 23, and e 5. Determine Bob's public and private keys. Show how Alice would encrypt the message M 200, and show Bob's decryption of the message.
Exercise 4 Suppose Bob's set of RSA keys includes p 17, q 23, and e 5. Determine Bob's public and private keys. Show how Alice would encrypt the message M 200, and show Bob's decryption of the message. Exercise 4 Suppose Bob's set of RSA keys includes p 17, q 23, and e 5. Determine Bob's public and private keys. Show how Alice would encrypt the message M 200, and show Bob's decryption of the message.
prime factorization. Assume that zoy wants to send a message to sam. sam generates public and private keys using RSA Encryption algorithm and publishes the public key (n=4717, e=19). zoy has a secret message M to send. Nobody knows the value of M. She encrypts the message M using the public key and sends the encrypted message C=1466 to sam. alex is an intruder who knows RSA and prime factorization well. She captures the encrypted message C=1466. She also has...
1. (a) Explain the terms “data encryption, authentication, and message integrity,” often used in the networks security literature. (3 Points) (b) Lorenzo likes to send to his close friend Art a secret market data related to their business using public key cryptography (RSA algorithm). He chooses two prime numbers 7 and 11, and a public key e = 13 to encrypt the data. Art uses d=37 to decrypt the data. Indicate why (e, 77) and (d, 77) are valid public...
Consider the RSA algorithm. Let the two prime numbers, p=11 and q=41. You need to derive appropriate public key (e,n) and private key (d,n). Can we pick e=5? If yes, what will be the corresponding (d,n)? Can we pick e=17? If yes, what will be the corresponding (d,n)? (Calculation Reference is given in appendix) Use e=17, how to encrypt the number 3? You do not need to provide the encrypted value.
Question 1 (1.5 marks): Asymmetric Security (The RSA algorithm) Consider the last two pairs of two digits of your student ID. Select two prime numbers that are http://en.wikipedia.org/wiki/List of prime numbers#The first 500 prime numbers For example: Student ID 9001346 -1346 The closest prime number to 13 is itself 13 and the closest prime number to 46 is 47. a. Assuming that these two prime numbers are the variables P and Q, determine the private and public keys used by...
Bob chooses 7 and 11 as p and q prime numbers. Now he chooses two exponents e to be 13, then d is 37. Note e * d mod 60 = 1 i.e. they are inverse to each other. Now imagine that Alice wants to send the plaintext 5 to Bob. She uses RSA algorithm to encrypt the message (perform encryption). Also, show your work how Bob perform decryption operation in order to extract plaintext. PLEASE SHOW ALL WORK AND...
4. Suppose you wish to encrypt the message, M 42 using RSA encryption. Given a public key where p- 23 and q-11 and the relative prime e- 7. Find n, and show all necessary steps to encrypt your message (42). (Hint: check p.411 of the text for information on public key RSA) (5 points)
Suppose that you are computing an RSA key pair. (Marks 6) What are ? and ? and ?(?) for an ? = 51? Find a legal RSA public key pair for this ? and ?. How many possible values for ?? are there? In a RSA cryptosystem, a person Renee uses two prime numbers p = 13 and q = 17 to generate her public and private keys. If the public key of Renee is 35, then the...