#FIG 3.2 Landscape Center Inches Letter 85.00 Single -2 1200 2 2 1 0 1 0 7 100 0 -1 0.000 0 0 -1 1 0 2 0 0 1.00 60.00 120.00 3600 1500 6600 1500 2 1 0 1 0 7 100 0 -1 0.000 0 0 -1 1 0 2 0 0 1.00 60.00 120.00 6600 1950 3600 1950 2 1 0 1 0 7 100 0 -1 0.000 0 0 -1 1 0 2 0 0 1.00 60.00 120.00 3600 3000 6600 3000 2 1 0 1 0 7 100 0 -1 0.000 0 0 -1 1 0 2 0 0 1.00 60.00 120.00 6600 3300 3600 3300 4 1 0 50 0 30 11 0.0000 6 195 495 5100 1425 $g^x$\001 4 1 0 50 0 30 11 0.0000 6 195 495 5100 1875 $g^y$\001 4 1 0 50 0 30 11 0.0000 6 195 4245 5100 2325 3. Compute $K=g^{xy}=(g^y)^x=(g^x)^y\\pmod{p}$\001 4 1 0 50 0 30 11 0.0000 6 195 3375 5100 2625 4. Encrypt future messages with key $K$\001 4 1 0 50 0 30 11 0.0000 6 180 975 5100 2925 $E_K(m_1)$\001 4 1 0 50 0 30 11 0.0000 6 180 975 5100 3225 $E_K(m_2)$\001 4 1 0 50 0 30 11 0.0000 6 165 690 5100 3525 $\\cdots$\001 4 0 0 50 0 30 12 0.0000 6 135 420 1800 825 Alice\001 4 0 0 50 0 30 11 0.0000 6 165 1605 1800 1425 1. Pick random $x$\001 4 2 0 50 0 30 12 0.0000 6 135 315 8400 825 Bob\001 4 2 0 50 0 30 11 0.0000 6 195 1605 8400 1800 2. Pick random $y$\001