Optimal reliability over a class of binary-input channels with feedback

This paper considers the problem of variable-length coding over a binary-input channel with noiseless feedback. A deterministic sequential coding scheme is proposed and shown to attain the optimal error exponent for any binary-input channel whose capacity is achieved by the uniform input distribution. The proposed scheme is deterministic and has only one phase of operation, in contrast to all previous coding schemes that achieve the optimal error exponent.