Hecke modules as linear block codes and block m-PSK modulation codes

We discuss the error correction capabilities of a class of Hecke modules as linear codes and free linear block m-PSK modulation codes. We provide an introduction to the study of modules for a Hecke algebra (of type A) as linear codes for the Hamming and the Euclidean metric. These modules are called Hecke modules and play an important role in another branch of mathematics, representation theory of groups and algebras. We first introduce a class of Hecke modules in a purely combinatorial manner. In particular, we provide a basis for each of these modules which can be easily calculated by a computer