Application of Paley Functions in Error Correcting Code

Abstract

In this Paper, we will use the Paley functions definition to correcting codes, as well as, we will give some properties of Paley functions in linear codes. Also, we will construct the first, second and third of Paley functions. These orders are representing as binary code which take only two value 0 or 1. Such a Paley function (matrix) generator can be used to encode and decode the message transform. Finally, we give some examples to show how this method work.