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Wireless communication systems are often susceptible to the jamming attack where adversaries attempt to overpower transmitted signals by injecting a high level of noise. Jamming is difficult to mitigate in broadcast networks because transmitting and receiving are inherently symmetric operations: A user that possesses the key to decode a transmission can also use that key to jam the transmission. We describe a code tree system that provides input to the physical layer and helps the physical layer circumvent jammers. In our system, the transmitter has more information than any proper subset of receivers. Each receiver cooperates with the transmitter to detect any jamming that affects that receiver. In the resulting system, each benign user is guaranteed to eliminate the impact of the attacker after some finite number of losses with arbitrarily high probability. We show that any system that relies on only using spreading code, and no other physical factors, to mitigate jamming must use at least codes, where is the number of jammers. We then propose an optimized scheme that is power-efficient: Each transmission is sent on at most codes simultaneously. Finally, we demonstrate that our scheme approaches the best possible performance by performing an extensive analysis of the system using both event-driven ns-2 and chip-accurate MATLAB simulations.