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Internet Security - Dang Thanh Binh's Page

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176 INTERNET SECURITY<br />

x GF (p)<br />

∋<br />

x<br />

k<br />

−1<br />

p<br />

User A User B<br />

g<br />

p − 1<br />

y ≡ g x (mod p)<br />

r ≡ g k (mod p)<br />

Message m GF (p)<br />

y r<br />

Extended<br />

euclidean<br />

algorithm<br />

m ≡ rx + ks<br />

(mod p − 1)<br />

Figure 5.5 The ElGamal signature scheme.<br />

Table 5.6 ElGamal signature algorithm<br />

Public key:<br />

p (a prime number)<br />

g

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