7) (i) You and Bob use Elgamal encryption with p=17 and g=3. You choose your private key a=4 and send A=-4 mod 17 to Bob (-4 is congruent to 3^4 mod 17), and Bob sends you (2,7). What is Bob's message? (ii) Alice and Bob use Elgamal encryption with p=13 and g=2. You noticed that Alice has sent A=11 mod 13 to Bob, and Bob has sent (5,7) to Alice. What is Bob's message?
here we can use decryption lgorithm or another way second one i am solving with decryption alforithm
7) (i) You and Bob use Elgamal encryption with p=17 and g=3. You choose your private...
Alice has a message M=51 to send to Bob securely using ElGamal encryption algorithm. Bob chooses p= 8167, g=4063, x=71. Alice chooses r=29. Show the encryption and decryption steps.
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....
Question 11 (1 point) Approximately how many different starting settings could be created from the Enigma machine's remarkably simple architecture. Question 11 options: 160 X 10 ^9 160 X 10^36 160 X 10^72 160 X 10^18 Question 12 (1 point) PGP uses a two-phase encryption approach to encrypt a message, and a second two-phase approach to decrypt a message. Alice wishes to send a message to Bob that will be confidential and also prove to Bob that Alice was the...
Need help!! please explain — crypto math thank you!! 7. Alice and Bob use the ElGamal public key cryptosystem with p 19, and a 3. Bob chooses the secret x = 4, What is β? Alice sends the ciphertext (2.3). What is the message? 8. The points (3, +5) e on the elliptic curve y2-a3 2. Find another poin with rational coordinates on this curve. 9. For the elliptic curve y2--2 (mod 7), calculate (3,2)(5,5) 0. Let P (,0) be...
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...
This question tests your knowledge of encryption and decryption using the RSA method. the numbers in soled are deliberately chosen to be mall enough to focus on gown understanding without excessive calculations. Alice and Bob decide to use an RSA cryptosystem with public key (77, 13) for communication. Alice wants to send Bob the message m = 22. Determine Alice's ciphertext c. Determine Bob's private boy Carry out Bob's decryption of Aloe's ciphertext c, and compare his result with Alice's...
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...
In ElGamal encryption scheme, assume that a prime modulus p = 451 and a generator g=288. If the private key is 23, what is the public key? Encrypt a message m=31 with a random value k=41 and decrypt the ciphertext.
Digital Signature (5-5): In the course notes we looked at RSA for encryption and signatures (using exactly the same mathematical formula), and ElGamal for encryption. There has been several questions on using ElGamal for signature. The ElGamal encryption algorithm cannot be used for signatures but there are signature schemes that is based on discrete logarithm. (a) Search for simple explanation of the ElGamal signature scheme and DSA signature scheme (Hint: Wikipedia). Can these algorithms be used to encrypt a message?...
Question1: Alice and Bob use the Diffie–Hellman key exchange technique with a common prime q = 1 5 7 and a primitive root a = 5. a. If Alice has a private key XA = 15, find her public key YA. b. If Bob has a private key XB = 27, find his public key YB. c. What is the shared secret key between Alice and Bob? Question2: Alice and Bob use the Diffie-Hellman key exchange technique with a common...