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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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$$\exists i,k : i \ne j \and P_{1i} \eq P_{1j} \and R_i = R_j \implies E_{1i} \eq E_{1j}$$
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$$\exists i,k : i \ne j \and P_{1i} = P_{1j} \and R_i = R_j \implies E_{1i} = E_{1j}$$
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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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