MDS codes are elegant constructions in coding theory and have mode important applications in cryptography, network coding, distributed data storage, communication systems et. In this study, a method is given which MDS codes are lifted to a higher finite field. The presented method satisfies the protection of the distance and creating the MDS code over the $F_q$ by using MDS code over $F_p.$

翻译：MDS代码在编码理论中是优雅的构件,在加密、网络编码、分布式数据存储、通信系统等方面有重要的方式应用。在本研究中,采用了一种方法,将MDS代码提升到较高的限定字段。提出的方法满足了距离保护,并通过使用超过$F_p的MDS代码,在$F_q$上创建MDS代码。