Error-correcting codes and machine learning algorithms are two fundamental pillars in ensuring the reliability and accuracy of data transmission and storage systems. Errorcorrecting codes have long been instrumental in detecting and correcting errors during data communication and retrieval, while machine learning techniques have emerged as powerful tools for data analysis and pattern recognition. Integrating machine learning into error correction processes presents exciting opportunities to enhance error detection and correction performance, especially in complex and dynamic environments. In this article, we provide an in-depth overview of error-correcting codes, including traditional techniques like Hamming codes, Reed-Solomon codes, Turbo codes, and Convolutional codes. We explore the challenges faced by traditional error correction methods in handling modern data complexities. Subsequently, we delve into the integration of machine learning algorithms, such as neural networks, support vector machines, and decision trees, for error correction tasks. We discuss how machine learning enables adaptive, efficient, and dynamic error correction strategies. Furthermore, we examine real-world applications of machine learning-based error correction in communication systems, data storage, DNA sequencing, and quantum computing. Additionally, we highlight the challenges that researchers and engineers need to overcome, such as computational complexity, real-time processing, and adversarial attacks. Ultimately, the collaboration between error-correcting codes and machine learning offers exciting prospects for a future where data transmission and storage systems are more secure, efficient, and adaptable. By addressing challenges and embracing innovations, we can pave the way for error-free data management in an ever-evolving data-driven world.