The noncooperative binary adder channel

Jamming is studied as a game in the binary adder channel. The legal user controls simultaneously the encoder and the decoder by the choice of a key; the jammer controls the channel by the choice of an interference signal. For any given pair of encoder and decoder, this leads to a two-person zero-sum game. It is shown that this game can be solved in many cases of interest. In particular, an exact measure of performance is derived for the class of so-called direct sequence systems.