删除信道的平均情形重构:次多项式多道就足够了

2017 IEEE 58th Annual Symposium on Foundations of Computer Science (FOCS) Pub Date : 2017-08-01 DOI:10.1109/FOCS.2017.29

Y. Peres, Alex Zhai

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引用次数: 52

摘要

删除通道以一个位串x ∊作为输入;{0,1}^n，并以概率q独立删除每个位，产生更短的字符串。跟踪重建问题是恢复一个未知字符串x ∊从应用于x的删除通道的许多独立输出(称为跟踪)中，我们表明，如果x是随机均匀绘制的，q

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Average-Case Reconstruction for the Deletion Channel: Subpolynomially Many Traces Suffice

The deletion channel takes as input a bit string x ∊ {0,1}^n, and deletes each bit independently with probability q, yielding a shorter string. The trace reconstruction problem is to recover an unknown string x ∊ from many independent outputs (called traces) of the deletion channel applied to x.We show that if x is drawn uniformly at random and q

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2017 IEEE 58th Annual Symposium on Foundations of Computer Science (FOCS)

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