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arXiv · 1705.01963

Polynomial time decodable codes for the binary deletion channel

Venkatesan Guruswami·Ray Li
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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 $c_0 > 0$.

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Venkatesan Guruswami, Ray Li. 2019-06-11. Polynomial time decodable codes for the binary deletion channel. https://arxiv.org/abs/1705.01963

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