2021
DOI: 10.48550/arxiv.2102.09490
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Mean-Based Trace Reconstruction over Oblivious Synchronization Channels

Abstract: Mean-based reconstruction is a fundamental, natural approach to worst-case trace reconstruction over channels with synchronization errors. It is known that exp(O(n 1/3 )) traces are necessary and sufficient for mean-based worst-case trace reconstruction over the deletion channel, and this result was also extended to certain channels combining deletions and geometric insertions of uniformly random bits. In this work, we use a simple extension of the original complex-analytic approach to show that these results … Show more

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