The Algebraic Space Time Codes (ASTC) are constructed based on cyclic algebras; they showed a good spectral efficiency, a full diversity, and a full rate under non selective channel condition. However, the radio - mobile channel is a selective channel whose features vary during the time. This selectivity is owed to the multi-path phenomenon and generates interferences between symbols (IES). The overall objective of this chapter is to proof that ASTC is adapted to channel selectivity, in order to analyze and improve its performances in wide-band system.