An estimate for the mean error probability of a Bayesian criterion for testing hypotheses in the problem of cryptanalysis of a combined gamma generator with nonuniform noise

A probability model for a combined gamma generator with nonuniform noise in a resynchronization mode is studied. We consider the problem of testing hypotheses about the distribution of a random binary vector $X^{(0)}$ (the state of a combined gamma generator) by using a sampled binary sequence whose signs depend on $X^{(0)}$ in a specified way and on certain other random parameters. We obtain a nonasymptotic upper bound for the mean error probability of a Bayesian criterion for testing the hypotheses mentioned above.