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A hard-core predicate of a one-way function $f$ is a predicate b (i.e., a function whose output is a single bit) which is easy to compute (as a function of x) but is hard to compute given $f(x)$.

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What Does This Symbol Mean? (Hardcore Predicates for One-Way Functions)

Assume $x$ and $r$ are bit strings of same length and $x_i$ and $r_i$ denotes the $i$-th bit of $x$ and $r$ respectively. The operation performed between $r_j,x_j$ is multiplication which is equivalen …
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