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arXiv · 2201.02013

List-decodable Codes for Single-deletion Single-substitution with List-size Two

Wentu Song·Kui Cai·Tuan Thanh Nguyen
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Abstract

In this paper, we present an explicit construction of list-decodable codes for single-deletion and single-substitution with list size two and redundancy 3log n+4, where n is the block length of the code. Our construction has lower redundancy than the best known explicit construction by Gabrys et al. (arXiv 2021), whose redundancy is 4log n+O(1).

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Wentu Song, Kui Cai, Tuan Thanh Nguyen. 2022-01-26. List-decodable Codes for Single-deletion Single-substitution with List-size Two. https://arxiv.org/abs/2201.02013

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