Alice and Bob are conducting Diffie-Hellman key exchange with the parameters p = 97 and a = 5. Suppose Alice selects private key a = 42 and Bob selects private key b = 77. a) What is Alice's public key? b) What is Bob's public key? c) What is the shared secret?
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- Alice and Bob use the Diffie-Hellman key exchange technique with a common prime q=41and a primitive root α=2 . a) If Alice has private key XA =3,what is Alice’s public key? b) If Bob has private key XB = 7 ,what is Bob’s public key? c) What is the shared secret key?Alice and Bob use the Diffie-Hellman key exchange technique with a common prime q=23 and a primitive root α=5. (a) If Bob has a public key YB=10, what is Bob’s private key XB? (b) If Alice has a public key YA=8, what is the shared secret key K with Bob?referring to Diffie Hellman, if the prime q is 353, alpha is 5, random secret key Xa is 110 and random secret key Xb is 92, then the public key would be:
- For the given scenario where Alice and Bob are trying to establish a shared secret key using Diffie-Hellman key exchange protocol, fill the values in the table.Question2 part 1. d. In Diffie-Hellman key exchange is based on the use of the prime number q = 353 and aprimitive root of 353, in this case α = 3. A and B select secret keys XA = 97 and XB = 233,respectively. Use this information to compute public key for both sender A and Receiver B.Once the public key is calculated then compute a common secrete key.You witness Alice and Bob agree on a secret key using the Diffie-Hellman key exchange. Alice andBob chose p = 97 and g = 5. Alice send Bob the number 3 and Bob sent Alice the number 7. Bruteforce crack their code: What is the secret key that Alice and Bob agreed upon? What were theirsecret keys?
- Let's say that Alice and Bob are exchanging keys using Diffie-Hellman key exchange using multiplicative group Z*499 and generator g=7. Let's say that Alice chooses secret exponent x=5 and receives the number 123 from Bob. What number should Alice send to Bob?_______ What number do Alice and Bob compute as their shared secret?________ Express each of your answers as an integer.Answer the given question with a proper explanation and step-by-step solution. Alice and Bob are using the Diffie Hellman key exchange to establish a secret key among them. Bob sends Alice [719, 3, 191]. Alice responds with, 543. If Bob's secret number, x, is 16. What is the secret key stablished?Let's say that Alice and Bob are exchanging keys using Diffie-Hellman key exchange using multiplicative group Z*401 and generator g=17. Let's say that Alice chooses secret exponent x=231 and receives the number 99 from Bob. What number should Alice send to Bob?____ What number do Alice and Bob compute as their shared secret?_____
- Pretend you are Alice and have agreed with Bob to carry out Diffie-Hellman key exchange with parameters p = 23 and g = 5. You may use a calculator to answer the following, but write down and label all the quantities you use. Assume you choose the secret random value x = 19. Compute the value gx (mod p) that you will send to Bob. In the protocol, you receive the value gy = 18 from Bob. Compute your shared secret value. Now pretend you are an eavesdropping adversary. From g, p and gy, find Bob’s secret y (it’s possible!) Describe how you found the value in part (c), and comment on how this reflects the security of Diffie-Hellman key exchange.Alice and Bob wish to perform the Diffie-Hellman key exchange. Let p = 1009 and g = 11. Suppose Alice chooses a = 268 for her secret value and Bob chooses b = 752. Explain the formulas needed for Alice and Bob to calculate a shared key. Use both formulas to calculate both Alice's and Bob’s values and show that they are the same. Note: you must show all calculations.Suppose you and your friend would like to use Diffie-Hellman key exchange system to exchange a keyword. Both of you have decided to use the following p = 4138327577, q = 3742197127.If you decide b = 1767005, and your friend has picked a number a that you don’t know. But you havereceived q a mod p from your friend, and the number is 980246808. Find out the common shared key.