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I came across the following expression: $[m + 2r + 2\sum_{i \in S}{x_i}]_{x_0}$. What does the subscripted bracket notation mean?

Context: Found in this paper https://eprint.iacr.org/2009/616.pdf. Page 6, Section 3.1, in description of "Encrypt" function.

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  • $\begingroup$ Can you give some context, i.e. where you found this expression? $\endgroup$ – HDE 226868 Nov 16 '15 at 23:01
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In section 2, the paper gives this definition:

enter image description here

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