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Bob publishes his public key (e, N) = (109, 221) Show that if Eve can factor...
Question 2: You are Alice. Bob publishes his ElGamal public key (q, a, ya) = (101, 2, 14). You desire to send the secret message “CALL ME” to Bob. Using the equivalence A = 01, B = 02, and so on up to Z = 26, you encode the message into the number 03 01 12 12 13 05. Regarding each of these two-digit numbers as a plaintext block, compute the message that you will send to Bob using his...
5. Alice wishes to send the message m4 to Bob using RSA encryption. She looks up Bob's public key and finds that it is (n-55. c= 3 (a) Specify exactly what information Alice sends to Bob (b) What is Bob's private key? Show how he would use it to recover Alice's message (c) Explain why Bob should never use this choice of public key in real life. 5. Alice wishes to send the message m4 to Bob using RSA encryption....
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-...
o-8. (15 points) Bob's simple toy RSA eryptosystem has public key kyub(n, e) (65,5), where n =p,-5x13-65 and e-5. I. Describe the key pair generation procedure for Bob to generate his private key kor- d. With the above given parameters, use EEA to calculate d 2. Describe RSA encryption procedure that Alice uses to encrypt her plaintext message x to its above given parameters, what will be y? ciphertext y before sending the message to Bob. Suppose Alice's message x-...
Bob and his twin brother Rob share the same 4096-bit RSA modulus N, but use different encryption exponents: Bob uses e_B = 3 while Rob uses C_R 17. Alice sends the same plaintext message m to Bob and Rob. encoded using their respective keys, so the ciphertexts are c_B = m^3 (mod N) C_R = m (mod N). Explain how, if Eve intercepts both ciphertexts, she can recover the original message m without having to factor N.
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...
Exercise 1 (2 pts). In an RSA cryptosystem, Bob's public key is (n = 253, e = 3), Alice uses this public key to encrypt a message M for Bob. The resulting ciphertext is 110. Recover the message M. (You can use online modular calculators available at the Web.)
Bob uses p = (141, 19) as his public key and S = 21 as his secret key. Is Bob's system correct? Please show all work and explanations. Thank You
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...
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.