Abstract: In this paper, it is proved that all pseudo-random sequences with Baumer-Wang-Welch's (BWW) lower bound can be used to construct remote-control commanding codes, and a general formula of maximum fault tolerant number for this kind of code set is given. It is proved that the code set of command, which reaches the equivalent translating sequences of a pseudo-random sequence with BWW's lower bound construct, is an optimal "cyclic" code set on the interference-free performance. Full essential condition is given, under which a sequence and its inverse sequence together with their equivalent translating sequences can be used to construct remote-control command code set.