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change epsilon expression

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Zheyuan Wu
2024-12-05 21:23:34 -06:00
parent d18e86852c
commit 75ef366b1c
10 changed files with 37 additions and 37 deletions
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pages/CSE442T/CSE442T_L9.md
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@@ -108,7 +108,7 @@ Denote safe prime as $\tilde{\Pi}_n=\{p\in \Pi_n:q=\frac{p-1}{2}\in \Pi_{n-1}\}$
Then
$$
P\left[p\gets \tilde{\Pi_n};a\gets\mathbb{Z}_p^*;g=a^2\neq 1;x\gets \mathbb{Z}_q;y=g^x\mod p:\mathcal{A}(y)=x\right]\leq \varepsilon(n)
P\left[p\gets \tilde{\Pi_n};a\gets\mathbb{Z}_p^*;g=a^2\neq 1;x\gets \mathbb{Z}_q;y=g^x\mod p:\mathcal{A}(y)=x\right]\leq \epsilon(n)
$$
$p\gets \tilde{\Pi_n};a\gets\mathbb{Z}_p^*;g=a^2\neq 1$ is the function condition when we do the encryption on cyclic groups.