On (±1) Error Correctable Integer Codes

Integer codes correct errors of a given type, which means that for a given communication channel and modulator we can choose the type of the errors (which are the most common) then construct integer code capable of correcting those errors. A new general construction of single (±1) error correctable integer codes will be presented. Comparison between single and multiple (±1) error correctable integer codes over AWGN channel using QAM scheme will be presented.