The present disclosure relates to transmission of information across a communication channel efficiently and without error. The present disclosure also enables transmission of information across a communication channel such that the Peak to Average Power Ratio (PAPR) is one (zero in decibels). The present disclosure also enables transmission of information across a communication channel such that the information transmitted is present only along a finite number of orthogonal frequencies. The present disclosure also combines advantages of both Single-carrier Transmission (SCT) and Multi-Carrier Transmission (MCT) systems (e.g. Orthogonal Frequency Division Multiplexing (OFDM) systems).