The access technology in fifth-generation (5G) wireless networks must meet the demands of high throughput, reliability, and secured connectivity. The 5G New Radio (NR) air interface is a major transition to fulfill dynamic and flexible service requirements. New channel coding techniques need to be analyzed to reduce redundancy and complexity in wireless communication networks. The major channel coding techniques of 5G NR are low-density parity-check (LDPC) codes and polar codes. The channel coding schemes are expected to provide flexibility for block length and code rates. This paper is focused on the design aspects of channel coding required fsor short burst transmissions. In the work, a mathematical model of encoding and decoding algorithms for LDPC and Polar codes is presented, and the key parameter of performance analysis considered is Block error rate (BLER). Simulations are performed to evaluate the BLER performance, and the impact of higher Quadrature Amplitude Modulation (QAM) mapping and variable code rate is presented. The major outcome of the work is that the Polar codes are more flexible with less computational complexity than LDPC codes.