For this to work, x=D(E(x)) must hold, where x is the message in military English, and E and D are the encoding and decoding functions. Ergo, the Navajo languag

For this to work, x=D(E(x)) must hold, where x is the message in military English, and E and D are the encoding and decoding functions. Ergo, the Navajo language must have as many possible utterances as military English does. This is neither surprising nor interesting. What is interesting is that E and D were not known by the Germans and could not be effectively reverse engineered in time.