Universal Network Error Correction MDS Codes

In network communication, the source often transmits messages at several different information rates within a session. In view of both information transmission and network error correction, linear network error correction MDS codes are expected to be used for these different rates. For this purpose, based on the existing results, designing a linear network error correction MDS code for each information rate is the most efficient solution. In this paper, we introduce the concept of a family of universal linear network error correction MDS codes, that is, these linear network error correction MDS codes have the same local encoding kernels at all internal nodes, which can resolve this problem better. And further propose a scheme for efficient implementation. This saves the storage space for each internal node, and resources and time for the transmission on networks.