To increase the information capacity of DNA storage, composite DNA letters were introduced. We propose a channel model for composite DNA in which composite sequences are decomposed into ordered non-composite sequences. We study the problem of reconstructing composite binary sequences with substitution errors in this channel. We define two families of error-correcting codes and provide lower and upper bounds on their cardinality.

翻译：为提升DNA存储的信息容量，复合DNA字母被引入。本文提出了一种复合DNA的信道模型，其中复合序列被分解为有序的非复合序列。我们研究了在该信道中重构存在替换错误的复合二进制序列的问题。定义了两类纠错码族，并给出了其基数（cardinality）的下界与上界。