The growing demand for long-term, high-capacity data storage is driven by the increasing volume of data. Synthetic Deoxyribonucleic Acid (DNA) presents a durable and dense storage medium, offering a revolutionary and promising alternative that could potentially replace current Big Data solutions. DNA stands out as a medium for immutable, high-density data storage, with its unique ability to theoretically encode up to 455 exabytes of data per gram, equivalent to 2 bits per nucleotide. Unlike traditional storage media such as hard drives, synthetic DNA enables massive amounts of data to be stored biologically, significantly reducing the reliance on energy-intensive materials like plastics and metals and minimizing the generation of electronic waste. Although DNA is susceptible to degradation over thousands of years under suboptimal conditions, it remains generally readable. Its inherent enzymatic reading and writing capabilities suggest it could continue to be a very reliable medium for data retrieval into the future. However, the inherently high error rates associated with DNA-based systems present a critical challenge. Current technologies are unable to achieve error-free synthesis, amplification, or sequencing of DNA strands. To leverage synthetic DNA as a reliable digital storage medium, the implementation of advanced systems for error detection and correction is essential. This article explores the benefits and challenges of DNA storage technology, presenting a comparative study of the effectiveness of two prominent error correction techniques, that are Reed-Solomon and LDPC codes, in ensuring data integrity within this emerging storage paradigm.