Summary : “ Channel Coding Rate in the Finite

This paper investigates the performance of finite blocklength codes over general classes of channels. In particular, results on the maximum achievable rate at a particular blocklength and a target error probability are presented. A new converse result is also presented, and it is shown that in a number of cases, the bounds are quite tight. In brief, the results in the paper may be divided into two regimes, asymptotic and non-asymptotic; a brief review of the results along with the essence of the proof techniques follows.