Using the Diffie-Hellmen example calculate the Public and Secret Keys for the 2

Question

Using the Diffie-Hellmen example calculate the Public and Secret Keys for the 2 exercises. Use the youtube video if needed. Public Key Integer raised to the power of the Random Secret mod the prime number Integer ^ Random secret mod prime Use the scientific setting on the calculator. Secret Key Other host public key raised to the power of Random Secret mod Prime Host 1 Host 2 Prime 19 Prime 19 Integer 8 Integer 8 Random Secret 7 Random Secret 12 Public key Public Key Secret Key Secret Key Host 1 Host 2 Prime 11 Prime 11 Integer 4 Integer 4 Random Secret 5 Random Secret 9 Public key Public Key Secret Key Secret Key Using the Diffie-Hellmen example calculate the Public and Secret Keys for the 2 exercises. Use the youtube video if needed. Public Key Integer raised to the power of the Random Secret mod the prime number Integer ^ Random secret mod prime Use the scientific setting on the calculator. Secret Key Other host public key raised to the power of Random Secret mod Prime Host 1 Host 2 Prime 19 Prime 19 Integer 8 Integer 8 Random Secret 7 Random Secret 12 Public key Public Key Secret Key Secret Key Host 1 Host 2 Prime 11 Prime 11 Integer 4 Integer 4 Random Secret 5 Random Secret 9 Public key Public Key Secret Key Secret Key

Explanation / Answer

EXERCISE 1

HOST 1:

PUB KEY:8

PRI KEY:7

HOST 2:

PUB KEY:1

PRI KEY:12

a = 7 A = ga mod p = 87 mod 19 = 8 b = 12 B = gb mod p = 812 mod 19 = 1 Alice and Bob exchange A and B in view of Carl keya = B a mod p = 17 mod 19 = 1keyb = A B mod p = 812 mod 19 = 1

EX-2

HOST 1:

PUB KEY:1

PRI KEY:5

HOST 2:

PUB KEY:3

PRI KEY:9

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