Strongly Secure Network Coding via Reed-Solomon Codes

To consider construction of strongly secure network coding scheme without universality, this paper focuses on properties of MDS(maximum distance separable) codes, especially, Reed-Solomon codes. Our scheme applies Reed-Solomon codes in coset coding scheme to achieve the security based on the classical underlying network coding. Comparing with the existing scheme, MRD(maximum rank distance) code and a necessary condition based on MRD are not required in the scheme. Furthermore, considering the conditions between the code for security and the underlying network code, the scheme could be applied for more situations on fields.