With the explosive growth of information, there is an increasing demand for storage technology, and cloud computing has become a major trend with the continuous development of new technologies. Therefore, this paper aims to find superior fault-tolerant coding schemes and explore their potential applications in the field of cloud computing. This paper provides a brief introduction to the background of RAID systems and fault-tolerant coding; elaborates on the principles and encoding process of the RDP algorithm in detail; deeply analyzes the application and performance of the RDP algorithm in RAID-6, and a comparison was made with RDP coding in cloud storage; and analyzes the development potential and specific application scenarios of the RDP algorithm in the field of cloud computing. Based on the above analysis and research, this paper affirms the development potential of the RDP algorithm in cloud storage based on cloud computing. It also proposes the research direction of the RDP algorithm in the field of cloud computing.