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Subpolynomial trace reconstruction for random strings and arbitrary deletion probability

Subpolynomial trace reconstruction for random strings and arbitrary deletion probability

The insertion-deletion channel takes as input a bit string \mathbf x \in \{0,1\}^{n} , and outputs a string where bits have been deleted and inserted independently at random. The trace reconstruction problem is to recover \mathbf x from many independent outputs (called "traces") of the insertion-deletion channel applied to \mathbf …