Maximal Codes for Finite Chain Rings

Coding theory is one of the bases of the information theory, this behind has experienced a spectacular evolution exploiting what has been achieved in the codes by the use of the concept of algebra. So to ensure a good transfer of information, it is better to use good codes by using a few aspects which represents an advantage. In this work, we will talk about the maximal codes on finite rings and exactly we will give the form of these codes for finite chain rings, this notion of maximality allows to show that all codes form classes what can server in decoding.