arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1801.04882cs.ITmath.IT
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DNA存储的集合编码

Coding over Sets for DNA Storage

Andreas Lenz, Paul H. Siegel, Antonia Wachter-Zeh, Eitan Yaakobi

摘要:

本文研究了用于人工合成脱氧核糖核酸(DNA)数据存储的纠错码。我们研究了一个存储模型,其中数据由一组无序的$M$序列表示,每个序列的长度为$L$。该模型中的错误是整个序列的丢失和序列内的点错误,例如替换、插入和缺失。我们提出了代码的建设,可以纠正这些错误与有效的编码器和解码器。通过推导这些代码的基数上界使用球包装参数,我们表明,我们的许多代码接近最佳。

英文摘要:

In this paper, we study error-correcting codes for the storage of data in synthetic deoxyribonucleic acid (DNA). We investigate a storage model where data is represented by an unordered set of $M$ sequences, each of length $L$. Errors within that model are losses of whole sequences and point errors inside the sequences, such as substitutions, insertions and deletions. We propose code constructions which can correct these errors with efficient encoders and decoders. By deriving upper bounds on the cardinalities of these codes using sphere packing arguments, we show that many of our codes are close to optimal.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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