You witness Alice and Bob agree on a secret key using the Diffie-Hellman key exchange. Alice and Bob chose p = 97 and g = 5. Alice send Bob the number 3 and Bob sent Alice the number 7. Brute force crack their code: What is the secret key that Alice and Bob agreed upon? What were their secret keys?

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: How do you work out Ellen's vote using just the RSA public keys, which is  (N,e) =

A: To work out Ellen's vote using just the RSA public keys, one would need to factorize the modulus N.…

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: Suppose Alice has the public key e=13 and n=713, find her private key, d

A: Here we need to find the d. Now before finding the d, we need to find what were 2 numbers that…

Q: In the context of the ElGamal signature, the public key is (257, 76, x), where "x" is not known to…

A: Yes there a re-use of the ephemeral key  The ElGamal signature scheme allows that a verifier can…

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: