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Constrained Coding with Error Control for DNA-Based Data Storage

机译:带错误控制的约束编码,用于基于DNA的数据存储

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In this paper, we first propose coding techniques for DNA-based data storage which account the maximum homopolymer runlength and the GC-content. In particular, for arbitrary ℓ,ϵ>0, we propose simple and efficient (ℓ,ϵ)-constrained encoders that transform binary sequences into DNA base sequences (codewords), that satisfy the following properties:• Runlength constraint: the maximum homopolymer run in each codeword is at most ℓ,• GC-content constraint: the GC-content of each codeword is within [0.5−ϵ, 0.5+ϵ].For practical values of ℓ and ϵ, our codes achieve higher rates than the existing results in the literature. We further design efficient (ℓ,ϵ)-constrained codes with error-correction capability. Specifically, the designed codes satisfy the runlength constraint, the GC-content constraint, and can correct a single edit (i.e. a single deletion, insertion, or substitution) and its variants. To the best of our knowledge, no such codes are constructed prior to this work.
机译:在本文中,我们首先提出了基于DNA的数据存储的编码技术,该技术考虑了最大均聚物的游程长度和GC含量。尤其是,对于任意ℓ,ϵ> 0,我们提出了一种简单有效的(ℓ,ϵ)约束编码器,该编码器将二进制序列转换为满足以下属性的DNA基本序列(代码字):•运行长度约束:最大均聚物运行每个代码字中的最大GC含量约束:每个代码字中的GC含量在[0.5−ϵ,0.5 + ϵ]之内。对于ℓ和practical的实际值,我们的代码获得的速率比现有结果高。在文学中。我们进一步设计了具有纠错功能的高效(ℓ,ϵ)约束代码。具体而言,设计的代码满足游程长度约束,GC内容约束,并且可以纠正单个编辑(即单个删除,插入或替换)及其变体。据我们所知,在进行这项工作之前没有构建任何此类代码。

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