Abstract:In this paper, The properties of Tseng runs in RCF of a binary sequence are studied. The relation between Tseng runs and run numbers of different run lengths in sequence are derived, and some new conceptions: run catena, concatenated elements, etc., are introduced for proving the theorems in this paper. And these theorems not only clearly describe that the sidelobes of CF are influenced by the run numbers of different run lengths in sequence, but also discover the existence of the typed constant, which may be used to determine the type of code words.