Full-Duplex (FD) systems are became very attractive technique for 5G and beyond transmissions by offering higher spectral efficiency. The implementation of a real FD system can be a challenging task due to the analog and residual Self-Interference (SI) and some imperfections introduced by analog components such as quantization error of Digital-to-Analog/ Analog-to-Digital Converters (DAC/ADC). This paper investigates in the digital domain different channel coding schemes to compensate the residual SI and quantization noise cancellation process in case of Single Input Single Output (SISO) FD transmission. The promising channel coding schemes from the Third Generation Partnership Project (3GPP) such as 5G Quasi-Cyclic Low Density Check (QC-LDPC), 5G Polar Codes and LTE Turbo codes have been considered. Several numerical simulations are performed to evaluate the Bit Error Rate (BER) performance.