(8) In an RSA cryptosystem, Bob’s public key is (n = 629, e = 43). Alice...
(8) In an RSA cryptosystem, Bob’s public key is (n = 629, e = 43). Alice uses this public key to encrypt the word “MARCH” and send the ciphertext to Bob. First, she represents this word in ASCII where the capital letters A, B, C, . . . , X, Y, Z are represented by integers 65, 66, 67, . . . , 88, 89, 90 respectively. Then she encrypts the five integers that represent M, A, R, C, H using the RSA cryptosystem. What are the resulting five integers? (You can use online modular calculators available at the Web.)
(9) In the settings of the previous exercise, Alice again encrypts and sends Bob a text message M represented with ASCII. Bob receives the following ciphertext: 142, 190, 326, 142 . Recover the message M. (You can use online modular calculators available at the Web.)
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(8) In an RSA cryptosystem, Bob’s public key is (n = 629, e =
43). Alice...
Exercise 1 (2 pts). In an RSA cryptosystem, Bob's public key is (n = 253, e...
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.)
Question 2 (compulsory) (a) Explain the operation of the RSA public-key cryptosystem (b) Illustra...
Question 2 (compulsory) (a) Explain the operation of the RSA public-key cryptosystem (b) Illustrate your explanation by using the prim es p 13 and q 17 and secret decryption key d 103 to (i) decrypt the ciphertext z2; (ii) compute the public encryption key e corresponding to d (ii) encrypt the plaintext m-. (c) Discuss the security of the RSA public-key cryptosystem
Question 2 (compulsory) (a) Explain the operation of the RSA public-key cryptosystem (b) Illustrate your explanation by using...
2. Alice is a student in CSE20. Having learned about the RSA cryptosystem in class, she...
2. Alice is a student in CSE20. Having learned about the RSA cryptosystem in class, she decides to set-up her own public key as follows. She chooses the primes p=563 and q = 383, so that the modulus is N = 21 5629. She also chooses the encryption key e-49. She posts the num- bers N = 215629 and e-49 to her website. Bob, who is in love with Alice, desires to send her messages every hour. To do so,...
Alice wants to send a message m to Bob using Rabin Cryptosystem. Bob makes the public...
Alice wants to send a message m to Bob using Rabin Cryptosystem. Bob makes the public key n = 77 and sends it to Alice. By using Rabin Cryptosystem, a) Alice encrypts her message m and sends the encrypted message c to Bob. What are the encrypted messages if m = 8, 36, 41 and 69? b) Alice encrypts her message m = 6 and sends the encrypted message c to Bob. Bob decrypts the message. What are the possible...
O-8. (15 points) Bob's simple toy RSA eryptosystem has public key kyub(n, e) (65,5), where n =p,-...
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-...
In a RSA cryptosystem, a participant A uses two prime numbers p = 13 and q...
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: _______________
all infor given 4. Supppose Alice and Bob are using the prime p = 1451 and...
all
infor given
4. Supppose Alice and Bob are using the prime p = 1451 and the base g = 2 for an ElGamal cryptosystem. (a) Alice chooses a = 753 as her private key. What is the value of her public key A? (b) Now suppose Bob chooses b = 500 as his private key, and thus his public key is 464 mod 1451. Alice encrypts the message m = 284 using the ephemeral key k=512. What is the...
Hybrid encryption combines the convenience of a public-key cryptosystem with the efficiency of a symmetric-key cryptosystem...
Hybrid encryption combines the convenience of a public-key cryptosystem with the efficiency of a symmetric-key cryptosystem and it is used in both TLS and SSL. Say we have the secured RSA and AES available, show how to use hybrid encryption to encrypt a message m= m1m2m3m4m5 with 640 bits without a pre-shared secret between Jane and Karl. Show explanation with a diagram.
5. Consider the RSA encryption scheme, Alice wants to send a message to Bob. Both Alice...
5. Consider the RSA encryption scheme, Alice wants to send a message to Bob. Both Alice and Bob have p= 17,9 = 19. Alice has e=31 and Bob has e=29. a. What is the public key pair used in the transmission? 2 marks b. What is the secret key pair used in the transmission? 4 marks c. Encrypt the message m=111. 4 marks d. Decrypt the resulting ciphertext. 4 marks e. What's the security problem between Alice and Bob? How...
Using RSA Implementation: 1. Alice's RSA public key is given by (e, n) = (59, 1189)....
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-...
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.)
Question 2 (compulsory) (a) Explain the operation of the RSA public-key cryptosystem (b) Illustrate your explanation by using the prim es p 13 and q 17 and secret decryption key d 103 to (i) decrypt the ciphertext z2; (ii) compute the public encryption key e corresponding to d (ii) encrypt the plaintext m-. (c) Discuss the security of the RSA public-key cryptosystem
Question 2 (compulsory) (a) Explain the operation of the RSA public-key cryptosystem (b) Illustrate your explanation by using...
2. Alice is a student in CSE20. Having learned about the RSA cryptosystem in class, she decides to set-up her own public key as follows. She chooses the primes p=563 and q = 383, so that the modulus is N = 21 5629. She also chooses the encryption key e-49. She posts the num- bers N = 215629 and e-49 to her website. Bob, who is in love with Alice, desires to send her messages every hour. To do so,...
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-...
all
infor given
4. Supppose Alice and Bob are using the prime p = 1451 and the base g = 2 for an ElGamal cryptosystem. (a) Alice chooses a = 753 as her private key. What is the value of her public key A? (b) Now suppose Bob chooses b = 500 as his private key, and thus his public key is 464 mod 1451. Alice encrypts the message m = 284 using the ephemeral key k=512. What is the...
5. Consider the RSA encryption scheme, Alice wants to send a message to Bob. Both Alice and Bob have p= 17,9 = 19. Alice has e=31 and Bob has e=29. a. What is the public key pair used in the transmission? 2 marks b. What is the secret key pair used in the transmission? 4 marks c. Encrypt the message m=111. 4 marks d. Decrypt the resulting ciphertext. 4 marks e. What's the security problem between Alice and Bob? How...
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-...
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