2. Consider the prime number p = 23 and g = 2 and assume they are public. During Diffie- Hellman key exchange process, Alice published her public key A = 12. Bob chooses a private key k = 5 and compute the public key to be sent to Alice. (a) What is the shaiſed secret key for both Bob and Alice? (b) Bob uses the EIGammal Cryptosystem to encrypt the message m = 7 and send it to Alice. What does Bob send to Alice (ciphertext)? (c) What is the plaintext message if Alice receives the ciphertext (4, 15)? You may need find Alice's private key a. Refer to Problem #1(5).

Q: Alice and Bob use the ElGamal scheme with a common prime q=131 and a primitive root a=6. Let Bob's…

A:

Q: Alice and Bob use the ElGamal scheme with a common prime q= 131 and a primitive root a=6. Let Bob's…

A: Key generation Common prime q=131 primary root  = 6 Bob's public key  =3 Random integer chosen k= 4…

Q: RSA cryptosystem

A: Given :- (M, C, e, d, Ke, Kd) denote the RSA cryptosystem with the public key (s, n) = (49,…

Q: Let p = 37 and q = 31 in the RSA set up. A. What are all the valid exponents in this case? Pick a…

A: To set up RSA encryption with p=37 and q=31, we first calculate n=pq=1147 and…

Q: Alice and Bob use the ElGamal scheme with a common prime q=131 and a primitive root a=6. Let Bob's…

A: Given, YB=3, q=131, a= 6, k=4, M= 9 The formulas use are : C1=ak mod qC2 = KM mod qK = YBk mod q

Q: Using public key cryptography, Bob wants to send a secret message M to Alice (only Alice and Bob…

A: Using public key cryptography, Bob wants to send a secret message M to Alice(only Bob and Alice…

Q: 3. Alice publishes her RSA public key: modulus n = 27455269 and exponent e = 191. (a) Bob wants to…

A: The answer is provided only for 2 sub-parts.

Q: Suppose that Alice and Bob communicate using ElGamal cipher and f (p. 9. Z) is common public values.…

A:

Q: 8. Two of Alice’s public-key components in a simple ElGamal cryptosystem are p = 17 and g =3 .…

A: Answer of a)

Q: Eve is watching Alice and Bob's communication on another round of the Diffie-Hellman key exchange.…

A: Diffie Hellman Key Exchange: A man-in-the-middle attack is very much possible on the existing…

Q: Assume there is a Certificate Authority (CA) with a well-known public key. Further assume every user…

A: A Certificate Authority (CA) with a well-known public key is a trusted third-party organization that…

Q: Let's assume that Bob and Alice share a secret key in a symmetric key system. Bob wishes to begin a…

A: INTRODUCTION: If Alice transmits the message to Bob encrypted using his public key, then upon…

Q: Vote: The notation from this problem is from Understanding Cryptography by Paar and Pelzl. uct a…

A:

Q: Alice and Bob has designed an RSA algorithm based on n = 152416431947009. Bob chooses the public key…

A: The question is to perform RSA in the given problem.

Q: In the ElGamal cryptosystem, Alice and Bob use p = 17 and α = 3. Bob chooses his secret to be a =…

A: According to the information given:-We have to follow the instruction in order to get the plaintext…

Q: Messages are to be encoded using the RSA method, and the primes chosen are p = 13 and q = 23, so…

A: Given, p = 13 q = 23 n = p*q = 299 Φ(n) = (p-1)*(q-1) = (12*22) = 264 e = 13

Q: a. Find the inverse 7(mod 11) and hence solve for x in 7x ≡ 5(mod 11) b. Suppose Alice picks p = 7…

A: Algorithm :1.      Generate two large random primes, P and Q, of approximately equal size.2.…

Q: Alice and Bob agree to use the prime p = 1373 and the base g = 2 for communications using the…

A: The ciphertext is been decrypted below

Q: For this problem you will perform RSA encryption and decryption with p = 13, q = 17, and e = 5 (not…

A:

Q: Alice is to send a message to Bob using the RSA cryptosystem. Compute n (Bob's public key), a (Bob's…

A: Ggg  n=p * q    =5651 * 5557     =31402607  ϕ(n) =(p-1)*(q-1)            =(5651-1)*(5557-1)…

Q: For that, Koushik must derive his own public key and private key pair from the values p = 23 and q =…

A: Answer: Given P=23 and  Q=107 where p and q are two prime number and find E and D using RSA…

Q: Alice decides to set up an RSA public key encryption using the two primes p = 31 and q = 41 and the…

A: Introduction Asymmetric cryptography uses the RSA algorithm. Asymmetric really implies that it…

Q: Suppose Alice and Bob performs the Diffie-Hellman key exchange, using the public parameters with…

A: Diffie-Hellman key exchange is a method of digital encryption that are securely exchanges…

Q: You are Alice. Bob publishes his ElGamal public key (q, a, ya) = (101, 2, 14). You desire to send…

A: The public key to encrypt the message is (101,2,14). we need to calculate the encrypted message for…

Q: Alice publishes her RSA public key: modulus N = 2038667 and exponent e = 103. (i) Alice knows that…

A: RSA algorithm is an asymmetric cryptography algorithm that works on two different keys i.e. Public…

Q: 3. Suppose that Alice and Bob are using the right shift cipher (M,C, e, d, K) to commu- nicate…

A: Given: Suppose that Alice and Bob are using the right shift cipher (M,C,e,d, K) to commu- nicate…

Q: 2. Bob and Alice use an affine cipher by using the standard ordering of English alpha- bets modulo…

A: Begin by inserting your ciphertext into the “Cipher Text” box and checking to make sure that you…

Q: Note: The notation from this problem is from Understanding Cryptography by Paar and Pelzl. We…

A: Explanation: Plain text   = 11100010 Ciphertext = 11010110                    -------------- XOR…

Q: Suppose that Alice and Bob agree to hash an integer by taking the sum of the digits modulo 1212.…

A: The Answer for the following question is given in next step.

Q: Note: The notation from this problem is from Understanding Cryptography by Paar and Pelzi. We…

A: Explanation: The plain text is given by 01110111 the ciphertext is given by 00001101. 01110111…

Q: We consider ElGamal cryptosystem with public prime p = 53 and generator g = 2. Let h = 16 be Bob’s…

A:

Q: Note: The notation from this problem is from Understanding Cryptography by Paar and Pelzl. We…

A:

Q: Alice is to send a message to Bob using the RSA cryptosystem. Compute n (Bob's public key), a (Bob's…

A: To compute n (Bob's public key), a (Bob's private key), and the ciphertext, we need to follow these…

Q: Note: The notation from this problem is from Understanding Cryptography by Paar and Pelzl. We…

A:

Q: Alice and Bob use the ElGamal scheme with a common prime q= 131 and a primitive root a = 6. Let…

A: Below is the answer to above question. I hope this will meet your requirement...

Q: Use symmetric ciphers to encrypt message "promise" and decrypt message "FOG". The representation of…

A: This question comes from Cryptography which is a paper of Computer Science. Let's discuss it in the…

Q: A.Given p=25, q=9, and e=7, generate the public key (n,e) and the private key (n,d) using the RSA…

A: Solution:   Given,   A.Given p=25, q=9, and e=7, generate the public key (n,e) and the private key…