A Binary Deletion Channel With a Fixed Number of Deletions

Author:

GRAHAM BENJAMIN

Abstract

Suppose a binary string x = x1 . . . xn 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?

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,Computational Theory and Mathematics,Statistics and Probability,Theoretical Computer Science

Reference3 articles.

1. Improved Lower Bounds for the Capacity of i.i.d. Deletion and Duplication Channels

2. A survey of results for deletion channels and related synchronization channels

3. Holenstein T. , Mitzenmacher M. , Panigrahy R. and Wieder U. (2008) Trace reconstruction with constant deletion probability and related results. In Proc. 19th Annual ACM–SIAM Symposium on Discrete Algorithms: SODA'08, pp. 389–398.

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