Suppose that Marie publishes the following public RSA values n = 33 and e = 7....
Suppose that Paul wants to use the public RSA value n = 185 and the private key d = 55. What is the value of the public key?
Bob publishes his public key (e, N) = (109, 221) Show that if Eve can factor N (N = 13 middot 17), then she can determine Bob's private key d. What is Bob's private key? Now suppose that Eve intercepts the message 97. Use Bob's private key to decrypt the message
Using RSA Implementation: 1. Alice's RSA public key is given by (e, n) = (59, 1189). = (a) Determine Alice's private key (d, n). (b) Bob sends his first message Mi 67 to Alice, encrypting it with RSA using Alice's public key. He obtains a cypher text Cị that gets forwarded to Alice. What is Cį? (c) Bob sends his second message M2 to Alice, encrypting it with RSA using Alice's public key. Eve, who was eavesdropping on the commu-...
Alice has the RSA public key (n, e) = (11413, 251) and private key d = 1651. And Bob also has his own RSA public key (n’, e’) = (20413, 2221) and private key d’ = 6661. Alice wants to send the message 1314 to Bob with both authentication and non-repudiation. Use Maple, calculate what is the ciphertext sent by Alice. And Verify that Bob is able to recover the original plaintext 1314.
Using RSA cipher, public key e=3, private key d=7 Encrypt the following message “Hello there” Decrypt the previous message
Suppose we use p = 7 and q = 5 to generate keys for RSA. a) What is n ? ___________________ b) What is φ(n) ? _______________________ c) One choice of e is 5. What are the other choices for e? _________________________________________________________________________________ d) Explain how you got your answer for part c. e) For the choice of e = 5 what is d? _________________________ Show work. f) Using the public key (n, e), what is the message 3 encrypted as?...
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...
p=3, q=7 Suppose that Bob wants to create an example of an RSA public-key cryptosystem by using the two primes p ??? and q ???. He chooses public encryption key e He was further supposed to compute the private decryption key d such that ed 1 mod A(pq)). However, he confuses A and and computes instead d' such that ed' =1 (mod P(pq)). (i) Prove that d' works as a decryption key, even though it is not necessarily the same...
Discrete math 1 1) In RSA algorithm, suppose the public key n = 55 (11*5) and e = 17. Please find a private key d which ed = 1 (mod 40) (40 = (11-1)(5-1)) 2) From the previous problem, suppose we have a message "one" (Letter A to Z are coded as 00 to 25), what will be the ciphered message? 3)Rewrite the classic Binary Search method as a Recursive Function (just the pseudocode.) 4)Deduce that, if A ⊆ B,...
4. Suppose Alec wishes to communicate with Diego, who is using RSA with a public key (e, n) and corresponding private key d. Alec takes his message m and sends c m mod n to Diego. Unfortunately, Eve is able to intercept Alec's message, modifying it to instead send d'c() mod n for some (secret) r that Eve chooses. (a) Diego receives Alec's tampered ciphertext d' and tries to decrypt it using his private key d. What is the resulting...