update typo and structures
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# Lecture 17
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## Strength through Truth
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## Chapter 3: Indistinguishability and Pseudorandomness
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### Public key encryption scheme (1-bit)
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@@ -90,7 +90,7 @@ $Dec_{sk}:r_k=f_i^{-1}(y_k),h_i(r_k)\oplus c_k=m_k$
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### Special public key cryptosystem: El-Gamal (based on Diffie-Hellman Assumption)
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#### Definition: Decisional Diffie-Hellman Assumption (DDH)
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#### Definition 105.1 Decisional Diffie-Hellman Assumption (DDH)
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> Define the group of squares mod $p$ as follows:
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>
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@@ -104,7 +104,7 @@ $\{p\gets \tilde{\Pi_n};y\gets Gen_q;a,b\gets \mathbb{Z}_q:(p,y,y^a,y^b,y^{ab})\
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$\{p\gets \tilde{\Pi_n};y\gets Gen_q;a,b,\bold{z}\gets \mathbb{Z}_q:(p,y,y^a,y^b,y^\bold{z})\}_n$
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> Diffie-Hellman Assumption:
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> (Computational) Diffie-Hellman Assumption:
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>
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> Hard to compute $y^{ab}$ given $p,y,y^a,y^b$.
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