In this work we consider the problem of designing a secret error-correcting network coding scheme against an adversary that can re-select the tapping links in different time slot and inject z erroneous packets into network. We first derive a necessary condition for keeping the transmitted information secret from the adversary, while the network is only subject to the eavesdropping attack. We then design an error-correcting scheme by combining the rank-metric codes with shared secret model, which can decode the transmitted information correctly provided a sufficiently large q. With that, a secret error-correcting network coding is proposed by combining this error-correcting scheme with secret communication. We show that under the requirement of communication can achieve a rate of packets. Moreover, it ensures that the communicated information is reliable and information-theoretic security from the adversary. In particular, the requirement of packet length is not as large as the required in [12]. Finally, the security and performance analyses illustrate the characteristics of our scheme.
Robust Design of Power Minimizing Symbol-Level Precoder under Channel Uncertainty
