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    New DNA data storage error correction algorithms improve performance by reducing bit-error rates. These methods address challenges in DNA synthesis and sequencing, enhancing data integrity for long-term storage solutions.

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    Area of Science:

    • Bioinformatics and Computational Biology
    • Data Storage Technologies
    • Information Theory

    Background:

    • DNA data storage offers high density, replicability, and longevity.
    • Insertion, deletion, and substitution (IDS) errors in DNA synthesis/sequencing channels degrade storage performance.
    • Existing decoding methods struggle with multiple output sequences common in IDS channels.

    Purpose of the Study:

    • To investigate effective IDS error correction algorithms for DNA data storage.
    • To compare the performance of two encoding schemes: marker codes (MC) and embedded marker codes (EMC), both with low-density parity-check (LDPC) outer codes.
    • To develop novel decoding algorithms to mitigate IDS errors and improve data integrity.

    Main Methods:

    • Proposed the segmented progressive matching (SPM) algorithm for consensus sequence inference from multiple outputs.
    • Developed a synchronous decoding algorithm based on the Hidden Markov Model (SDH) for MC inner codes.
    • Developed an iterative external decoding (IED) algorithm integrating synchronous decoding and embedded normalized min-sum decoding (ENMS) for EMC inner codes.

    Main Results:

    • The SDH algorithm with MC offers a lightweight solution for DNA data storage.
    • The IED algorithm with EMC provides superior decoding performance with linear complexity.
    • Proposed algorithms reduced bit-error rate (BER) by 21.72% to 99.75% compared to existing methods.

    Conclusions:

    • Novel decoding algorithms significantly enhance the reliability of DNA data storage.
    • The choice between SDH/MC and IED/EMC depends on the trade-off between computational complexity and decoding performance.
    • These advancements pave the way for more robust and efficient DNA-based data archiving.