A key-based error control scheme for network coding

This work presents an error control scheme for network coding under an adversarial error model. The scheme relies on the assumption that the transmitter and receiver share a key that is secret from the adversary. The scheme can achieve a rate that is significantly higher than what can be achieved without a shared key. Moreover, differently from previous key-based approaches, the proposed scheme does not require the field size to be arbitrarily large. The scheme is practical, conceptually simple, and compatible with both coherent and random network coding.