What is the common secret key between Alan and Bill

Reference no: EM132295840

Question: 1. Alan and Bill agree (through a public exchange) on using theDiffieHellmanalgorithm to create a common secret key. They also agree on twopublic numbers: q (large prime number), p (generator mod q):

q = 7, p = 2

Alan generates a random CA =5, use CA to calculate DA and then sends DA to Bill.

Bill generates a random CB =6, use CB to calculate DBand then sends DB to Alan.

a. What is DA? (i.e. DA =?) (5 points)

b. What is DB? (i.e. DB =?) (5 points)

c. What is the common secret key between Alan and Bill?

(Note you must show step by step calculation procedures)

4. Consider the following login protocol.

User knows password P

User knows Hash function H(.) and has a mobile calculator

User gives login name N to machine

Machine generates random number R

Machine gives R to user

User computes X:= Hash(P) XOR Hash(R)

User gives X to machine

Machine uses N to obtain P from password table

Machine computes Y:= Hash(P) XOR Hash(R)

If X=Y then machine allows login

a. Explain what is wrong with it and how can it be broken.

b. Show a simple way to strengthen this protocol against your attack.

5. If we choose two prime numbers p=13 and q=17 in RSA (Rivest-Shamir-Adelman) algorithm, and choose Public Key = (p x q, e) = (221,5),

a. Show the result and procedures to generate Private Key.

b. Show the procedures using the Public Key and the Private Key found in step (a) to encrypt a message M (Assume M=25); and to decrypt for obtaining the message.

Reference no: EM132295840

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