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Srineeja Patlolla CS-555.  Discovered by Whitfield Diffie and Martin Hellman  “New Directions in Cryptography” https://www.google.com/search?q=diffie+hellman&espv=2&biw=1920&bih=971&tbm.

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Presentation on theme: "Srineeja Patlolla CS-555.  Discovered by Whitfield Diffie and Martin Hellman  “New Directions in Cryptography” https://www.google.com/search?q=diffie+hellman&espv=2&biw=1920&bih=971&tbm."— Presentation transcript:

1 Srineeja Patlolla CS-555

2  Discovered by Whitfield Diffie and Martin Hellman  “New Directions in Cryptography” https://www.google.com/search?q=diffie+hellman&espv=2&biw=1920&bih=971&tbm =isch&source=lnms&sa=X&ei=ngd2VPO7IYjjoAT98YDIBw&ved=0CAoQ_AUoA w&dpr=1#imgdii=_

3  Diffie–Hellman key exchange (D–H) is a specific method of exchanging Cryptographic key. http://www.youtube.com/watch?v=YEBfamv_do

4 1. Its easy to mix 2 colors to make a third color. 2. Given a mixed color its hard to reverse it in order to find the exact original colors. http://www.youtube.com/watch?v=YEBfamv-_do

5 Reference:

6  Agree on 2 numbers n and g  g is primitive relative mod (n)  For each x < n, there is an a such that g a = x mod (n).

7 Alice:  Chooses a large random number x  Calculates X = g x mod (n)  Sends X, g, and n to Bob. Bob:  Chooses a large random number y  Calculates Y = g y mod (n)  Sends Y to Alice.

8  Alice:Calculates k = Y x mod (n)  Bob:Calculates k’ = X y mod (n)

9  k’ = k is the shared key k = Y x mod (n) = (g y ) x mod (n) = g yx mod (n) k’ = X y mod (n) = (g x ) y mod (n) = g xy mod (n)  Nobody can calculate k given n, g, X, and Y

10  http://www.youtube.com/watch?v=YEBfamv-_do http://www.youtube.com/watch?v=YEBfamv-_do  http://en.wikipedia.org/wiki/Diffie–Hellman_key_exchange http://en.wikipedia.org/wiki/Diffie–Hellman_key_exchange

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