Abstract
This paper presents new methods to encode the message, detects the error, and corrects the message in the communication processes. These methods have been developed based on Reed Muller basic matrix. The key point for the implementation of error-free communication is the encoding of the information to be transmitted in such a way that some extent of redundancy is included in the encoded data, and a method for efficient decoding at the receiver is available. These two requirements have been achieved in the new method in an efficient and simple way. The new methods are demonstrated using some examples, and have give a good result.