We analyze the probability of decoding error in a multi-source, multi-relay wireless network, in which the adversary may inject falsified data through captured relay nodes. To detect malicious relay nodes and discard (erase) the data from those relay nodes, tracing bits are embedded in the information data at each source node. Parity bits are also added to the information data to correct the errors caused by the the channel impairments such as fading and noise. We analyze the tradeoff between the tracing bits and the parity bits in minimizing the probability of decoding error in multi-source, multi-relay networks under falsified data injection attacks.