DNA Data Storage and Molecular Computing: Error-Correcting Codecs, Nanopore Basecalling, and In-Vitro Random Access Retrieval

Abstract—Global digital data generation is expanding at an exponential trajectory, projected to exceed 175 zettabytes within the decade. Conventional silicon-based non-volatile memory technologies—including magnetic tape, hard disk drives (HDDs), and solid-state NAND flash—are rapidly encountering insurmountable physical and logistical constraints: finite retention spans (<30 years), severe raw-material scarcity, and massive warehouse-scale electrical power consumption. Synthetic Deoxyribonucleic Acid (DNA) establishes an ultra-dense, durable, and sustainable molecular data storage substrate, theoretically offering 215 petabytes per gram and stable biochemical retention spanning millennia at room temperature. However, translating synthetic oligonucleotides into a functional, enterprise-grade storage tier introduces severe cyber-physical and information-theoretic bottlenecks: high chemical synthesis and sequencing error rates characterized by asymmetric insertion, deletion, and substitution (IDS) channels; homopolymer-induced basecalling drift in Oxford Nanopore sequencers; high read-coverage redundancy overheads; and molecular random-access retrieval complexities in complex oligonucleotide pools. This paper presents an exhaustive, mathematically formal technical investigation and empirical benchmark of DNA data storage architectures. We formalize the molecular insertion-deletion-substitution channel, derive robust two-dimensional error-correcting codecs uniting inner Varshamov-Tenengolts (VT) codes with outer Reed-Solomon (RS) and Luby Transform (LT) Fountain codes, and model polymerase chain reaction (PCR) primer design optimization avoiding secondary hairpin structures. Furthermore, we construct an end-to-end biological and computational testbed encoding, synthesizing, and retrieving 50 megabytes of encrypted multi-tenant data over Oxford Nanopore MinION sequencers. Our empirical findings demonstrate that our composite VT-Fountain codec achieves 100% error-free data reconstruction under a physical sequencing raw error rate of 8.4%, while boosting net information density to 1.78 bits per nucleotide (89% of the theoretical 2.0-bit Shannon channel capacity). Concurrently, orthogonal nested PCR primers execute targeted random-access retrieval in 18.2 minutes with zero non-specific cross-hybridization. Finally, we establish open research directions in enzymatic de novo synthesis, all-molecular in-memory computing, and zero-trust bio-cybersecurity.