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Efficiently Decodable Codes for the Binary Deletion Channel

Authors Venkatesan Guruswami, Ray Li

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  • Coding theory
  • Combinatorics
  • Synchronization errors
  • Channel capacity

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Abstract

In the random deletion channel, each bit is deleted independently with probability p. For the random deletion channel, the existence of codes of rate (1-p)/9, and thus bounded away from 0 for any p < 1, has been known. We give an explicit construction with polynomial time encoding and deletion correction algorithms with rate c_0 (1-p) for an absolute constant c_0 > 0.

Cite As Get BibTex

Venkatesan Guruswami and Ray Li. Efficiently Decodable Codes for the Binary Deletion Channel. In Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2017). Leibniz International Proceedings in Informatics (LIPIcs), Volume 81, pp. 47:1-47:13, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2017) https://doi.org/10.4230/LIPIcs.APPROX-RANDOM.2017.47

Author Details

Venkatesan Guruswami
Ray Li

References

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