3. Alice publishes her RSA public key: modulus n = 27455269 and exponent e = 191. (a) Bob wants to send Alice the message m = 27453912. What ciphertext does Bob send to Alice? (b) Alice knows that her modulus factors into a product of two primes, one of which is p = 5011. Find a decryption exponent d for Alice. (c) Alice receives the ciphertext c= 5329179 from Bob. Decrypt the message.

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

A: Your answer is given below:

Q: 3. In a public key system using Rivest-Shamir-Adlemen (RSA), Eve intercepts a ciphertext C = 33 sent…

A: Answer is given below.