An Implementation Approach of Ecdlp-Based Diffie-Hellman ... - ijcer

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International Journal Of Computational Engineering Research (ijceronline.com) Vol. 2 Issue. 6 3. User A generates the secret key from B’s public key K=n A n B G 4.Similarly, B generates the secret key from A’s public key K= n B n A G. The two calculations for the generation of secret key produces the same result. IV. Results and Discussion VB.NET socket layer programming has been used for connecting two systems. Messages are transmit from user A to user B when a socket is created. In our implementation we use G=(11,3)[5] has been used as generator or base point. The following figure shows the communication between users A and user B USER A Step1:User A chooses a random number n A =25 USER B Fig7: Displays the coordinate and base points of elliptic curve Step2:User A computes public key P A = n A G=25*(22,3)=(24,4) Step6: User A compute the shared secret K=P AB =n A n B G =25*(12,17)=(12,28). Step3: User B chooses a random secret n B ,=17 Step4: User B compute public key P B = n B G = 17(11,3) = (28,17) and sends to user A. Step5:User B compute the shared secret K=P AB =n B n A G = 17*(24,4)= (12,28). Fig6: Steps to generate secret shared key The following six GUI represents the above steps to generate secret shared key at both the ends. Fig7 shows the parameters set by user A for elliptic curve with a=1,b=1 and p=29 and getting the coordinates and base points of the curve. In fig8 user A compute public key by selecting any base point and choosing a random number as private key. User A sends public key and parameter values to user B. User B gets all the parameters send by user A, and also the public key of user A as shown in fig9. Fig10 shows user B selecting private key and computing public key and send it to user A. Generation of shared key at user B is shown in fig11. Fig12 shows generation of shared key at user A. Fig8: Shows user A compute public key and sending to user B Issn 2250-3005(online) October| 2012 Page 25
International Journal Of Computational Engineering Research (ijceronline.com) Vol. 2 Issue. 6 Fig9:Shows user B receives public key of user A Fig11: Displays shared key at user B. Fig10: Shows user B compute its public key and send it to user A Fig12: Displays shared key at user A Issn 2250-3005(online) October| 2012 Page 26
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