permutations
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$\FF_2$ & the field $\ZZ_{/2\ZZ}$ \\
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$\mathbb{S}^d$ & the set of vectors of dimension $d$ in the set $\mathbb{S}$ \\
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$\mathbb{S}^{n \times m}$ & the set of matrices with $n$ rows and $m$ columns in the set $\mathbb{S}$ \\
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$\permutations_D$ & The set of all permutations over $\{1,\ldots, D\}$ \\
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[1ex] \multicolumn{2}{l}{\scbf{Protocols}} \\
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$\PKE$ & Public Key Encryption \\
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$\ZK$ & Zero-Knowledge \\
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