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if the oracle selects b=1:
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If q is big enough, there will be colissions:
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$$\exists i,k : i \ne j \and P[i] \eq P[j] \and R[i] = R[j] \implies E_1[i] = E_1[j]$$
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$$\exists i,k : i \ne j \and P\[i\] \eq P\[j\] \and R\[i\] = R\[j\] \implies E_1\[i\] = E_1\[j\]$$
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where $R$ is the list of random values generated for each pair
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\subsection*{4.3}
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