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Mutually Uncorrelated Primers for DNA-Based Data Storage

机译:互不相关的底漆,用于基于DNA的数据存储

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摘要

We introduce the notion of weakly mutually uncorrelated (WMU) sequences, motivated by applications in DNA-based data storage systems and synchronization between communication devices. WMU sequences are characterized by the property that no sufficiently long suffix of one sequence is the prefix of the same or another sequence. WMU sequences used for primer design in DNA-based data storage systems are also required to be at large mutual Hamming distance from each other, have balanced compositions of symbols, and avoid primer-dimer byproducts. We derive bounds on the size of WMU and various constrained WMU codes and present a number of constructions for balanced, error-correcting, primer-dimer free WMU codes using Dyck paths, prefix-synchronized, and cyclic codes.
机译:我们介绍了弱互不相关(WMU)序列的概念,该序列受基于DNA的数据存储系统中的应用程序以及通信设备之间的同步的推动。 WMU序列的特征在于,一个序列的后缀没有足够长的长度是相同或另一序列的前缀。还要求用于基于DNA的数据存储系统中的引物设计的WMU序列彼此之间具有较大的汉明距离,具有平衡的符号组成,并避免引物二聚体副产物。我们得出WMU和各种受约束WMU代码的大小的界限,并提出了使用Dyck路径,前缀同步和循环代码的平衡,纠错,无引物二聚体的WMU代码的多种构造。

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