alice wants to send to all her friends, including bob, the message "SELLEVERYTHING" so that be knows that she sent it. What should she send to her friends, assuming she signs the message using the RSA cryptosystem.
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alice wants to send to all her friends, including bob, the message "SELLEVERYTHING" so that be knows that she sent it. What should she send to her friends, assuming she signs the message using the RSA cryptosystem.
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- Bob has sent his secret number m to Alice via secure RSA encryption. Break his ciphertext to find m. To factorize the number N, you can use the program. Alice's public key (e, N) = (17, 29329): Bob's ciphertext c = 16469Alice's RSA public key is P = (e,n) = (5,901). Bob sends Alice the message by encoding it as follows. First he assigns numbers to characters: A is 3, B is 4, ..., Z is 28, a blank is 29, quotation marks: 30, a period: 31, a coma: 32, an apostrophe: 33. Then he uses RSA to encode each number separately. Bob's encoded message is: 030 673 332 785 171 589 782 171 828 589 785 568 782 785 713 782 813 785 123 589 828 673 589 487 589 785 813 890 243 813 785 733 243 813 890 589 733 243 813 673 422 769 785 673 769 785 769 673 733 171 828 589 291 785 673 813 785 673 769 785 782 713 828 482 785 123 589 422 243 500 769 589 785 813 890 589 482 785 568 782 785 713 782 813 785 549 589 243 828 673 367 589 785 890 782 587 785 422 782 733 171 828 673 422 243 813 589 568 785 828 673 332 589 785 673 769 777 030 Decode Bob's message. Notice that you don't have Bob's secret key, so you need to "break" RSA to decrypt his message. For the solution, you need to provide the following: (a) Describe step by step…Alice sets up an RSA public/private key, but instead of using two primes, she chooses three primes p, q, and r and she uses n=pqr as her RSA-style modulus. She chooses an encryption exponent e and calculates a decryption exponent d. Encryption and Decryption are defined: C ≡ me mod n and m ≡ Cd mod n where C is the ciphertext corresponding to the message m. Decryption: de ≡ 1 mod φ(n) | Let p = 5, q = 7, r = 3, e = 11, and the decryption exponent d = -13. n = 105 & φ(n) = 48 Q: Alice upgrades to three primes that are each 200 digits long. How many digits does n have?
- Alice uses a shift cipher with a shift of 4 to encrypt her message to Bob. If the ciphertext she obtains is "ksshpygo", what is her message in plaintext?Bob uses the RSA cryptosystem to allow people to send him encrypted messages. He selects the parameters: p=3,q=17,e=3,d=11Using public key cryptography, Bob wants to send a secret message M to Alice (only Alice and Bob should see M), and Alice wants to make sure that M is sent by Bob. Then Bob should: sign the message, and send signature to Alice encrypt M with his public key, encrypt the result with Alice's private key, and then send to Alice Answer is not given encrypt M with his private key, encrypt the result with Alice's public key, and then send to Alice encrypt M with Alice's public key and then send to Alice encrypt M with his public key, encrypt the result with Alice's public key, and then send to Alice encrypt M with his private key, encrypt the result with Alice's private key, and then send to Alice encrypt M with Alice's private key, encrypt the result with his private key, and then send to Alice
- A shortcoming of using an elliptic curve E(Fp) for cryptography is the fact that it takes two coordinates to specify a point in E(Fp). However, as discussed briefly at the end of Sect. 6.4.2, the second coordinate actually conveys very little additional information.(b) Alice and Bob decide to use the prime p = 1123 and the elliptic curveE : Y2 = X3 + 54X + 87.Bob sends Alice the x-coordinate x = 278 and the bit β = 0. What point is Bob trying to convey to Alice? What about if instead Bob had sent β = 1?Bob sent Alice an encrypted message. The message consists of 3 words. In each word, Bob encoded the letters as follows: A = 01, B = 02, C = 03, ..., Z = 26. The he wrote the codes next to each other to form a number that represent the word. For example, the word "WE" is encoded as: 2305 since it consists of 2 letters W=23 and E=05. After encoding, Bob encrypted each encoded word with RSA using Alice public key(pq, e) where p=100000007, q=10000019, e=13. Alice received the following 3 encrypted words from Bob: 451095483713115 570203572152011 958266071840609 She used here RSA private key (d) to decrypt the message. The first word of the message that Bob sent was: WE. Q1. What is the private key d? (enter you answer as an exact number) Q2. What is the second word of the message that Bob sent to Alice? (enter you answer as one word) Q3. What is the third word of the message that Bob sent to Alice? (enter you answer as one word) MATHBob sent Alice an encrypted message. The message consists of 3 words. In each word, Bob encoded the letters as follows: A = 01, B = 02, C = 03, ..., Z = 26. The he wrote the codes next to each other to form a number that represent the word. For example, the word "WE" is encoded as: 2305 since it consists of 2 letters W=23 and E=05. After encoding, Bob encrypted each encoded word with RSA using Alice public key(pq, e) where p=100000007, q=10000019, e=13. Alice received the following 3 encrypted words from Bob: 451095483713115 570203572152011 762324289903198 She used here RSA private key (d) to decrypt the message. The first word of the message that Bob sent was: WE.
- Bob sent Alice an encrypted message. The message consists of 3 words. In each word, Bob encoded the letters as follows: A = 01, B = 02, C = 03, ., Z = 26. The he wrote the codes next to each other to form a number that represent the word. For example, the word "WE" is encoded as: 2305 since it consists of 2 letters W=23 and E=05. After encoding, Bob encrypted each encoded word with RSA using Alice public key(pq, e) where p=100000007, q=10000019, e=13. Alice received the following 3 encrypted words from Bob: 451095483713115 570203572152011 958266071840609 She used here RSA private key (d) to decrypt the message. The first word of the message that Bob sent was: WE. Q1. What is the private key d? (enter you answer as an éxact number) ord) Q2. What is the second word of the message that Bob sent to Alice? (enter you answer as one Q3. What is the third word of the message that Bob sent to Alice? (enter you answer as one word)Let's assume that Bob and Alice share a secret key in a symmetric key system. Bob wishes tobegin a conversation with Alice, and sends her a message that essentially says "let's talk". Aliceis suspicious that the person contacting her might not be Bob, so Alice generates a single-userandom number (a nonce) and sends it to Bob. Bob encrypts the nonce with the secret key heshares with Alice and sends it back. Alice decrypts this message and retrieves the same nonceshe sent to Bob. Which of the following is true, provided the secret key K has not been compromised?Plz don't use chat gpt
