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Low probability of detection (or covert) communication refers to the scenariowhere information must be sent reliably to a receiver, but with low probabilityof detection by an adversary. Recent works on the fundamental limits of thiscommunication problem have established achievability and converse bounds thatare asymptotic in the block length of the code. This paper uses Gallager'srandom coding bound to derive a new achievability bound that is applicable tolow probability of detection communication in the finite block length regime.Further insights are unveiled that are otherwise hidden in previous asymptoticanalyses.

A Finite Block Length Achievability Bound for Low Probability of Detection Communication