Sequence reconstruction problem for deletion channels: a complete asymptotic solution

Transmit a codeword x, that belongs to an (ℓ−1)-deletion-correcting code of length n, over a t-deletion channel for some 1≤ℓ≤t<n. Levenshtein (2001) [10], proposed the problem of determining N(n,ℓ,t)+1, the minimum number of distinct channel outputs required to uniquely reconstruct x. Prior to th...

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Bibliographic Details
Main Authors: Pham, Van Long Phuoc, Goyal, Keshav, Kiah, Han Mao
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2025
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Online Access:https://hdl.handle.net/10356/182329
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Institution: Nanyang Technological University
Language: English