Coding theory is the study of methods for efficient and accurate transfer of information from one place to another. In this project we will give the basic concepts of coding theory. This will include linear codes, perfect codes and cyclic linear codes. The emphasis in the project will be on BCH codes with a thorough understanding of the coding and decoding of the 2-error correcting BCH code. These BCH codes are useful because they admit an efficient error-correcting algorithm and they are of great practical importance. Examples will be provided to illustrate the effectiveness of this code.