A lower bound on the probability of decoding error for the finite-state channel (Corresp.)

A new lower bound on the probability of decoding error for transmission at high rates over a finite-state channel is obtained. It is a dual to the random coding bound of Yudkin and is a generalization of the Arimoto converse to the coding theorem for discrete memoryless channels. It also implies the strong converse to the coding theorem for indecomposable channels.