Locality-preserving secure network coding

In the paradigm of network coding, when wiretapping attacks occur, secure network coding is introduced to prevent information leaking adversaries. In practical network communications, the source often multicasts messages at several different rates within a session. How to deal with information transmission and information security simultaneously under variable rates and fixed security-level is introduced in this paper as a variable-rate and fixed-security-level secure network coding problem. In order to solve this problem effectively, we propose the concept of locality-preserving secure linear network codes of different rates and fixed security-level, which have the same local encoding kernel at each internal node. We further present an approach to construct such a family of secure linear network codes and give an algorithm for efficient implementation. This approach saves the storage space for both source node and internal nodes, and resources and time on networks. Finally, the performance of the proposed algorithm is analyzed, including the field size, computational and storage complexities.