DNA storage faces challenges in ensuring data reliability in the presence of edit errors -- deletions, insertions, and substitutions -- that occur randomly during various phases of the storage process. Current limitations in DNA synthesis technology also require the use of short DNA sequences, highlighting the particular need for short edit-correcting codes. Motivated by these factors, we introduce a systematic code designed to correct random edits while adhering to typical length constraints in DNA storage. We evaluate the performance of the code through simulations and assess its effectiveness within a DNA storage framework, revealing promising results.

翻译：DNA存储在应对数据可靠性挑战时面临编辑错误——包括删除、插入和替换——这些错误在存储过程的不同阶段随机发生。当前DNA合成技术的局限性要求使用短DNA序列，这凸显了对短纠错编辑码的特殊需求。受此驱动，我们提出一种系统码，旨在在遵循DNA存储典型长度约束的同时纠正随机编辑错误。我们通过仿真评估了该码的性能，并在DNA存储框架内验证其有效性，结果显示出良好的应用前景。