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A binary deletion channel with a fixed number of deletions

Probability 2019-02-20 v1 Information Theory Combinatorics math.IT

Abstract

Suppose a binary string x = x_1...x_n is being broadcast repeatedly over a faulty communication channel. Each time, the channel delivers a fixed number m of the digits (m<n) with the lost digits chosen uniformly at random, and the order of the surviving digits preserved. How large does m have to be to reconstruct the message?

Cite

@article{arxiv.1309.1410,
  title  = {A binary deletion channel with a fixed number of deletions},
  author = {Benjamin Graham},
  journal= {arXiv preprint arXiv:1309.1410},
  year   = {2019}
}

Comments

4 pages