Covert communication in the physical layer is primarily achieved by submerging valuable signals within noise or concealing secret information within carrier information. To guarantee reliability and covertness, the performance of the channel code is crucial. In recent studies, a novel code named the Low-Density Algebra-Check (LDAC) code has been proposed, specifically crafted to tackle adverse channel conditions. Compared to Low-Density Parity-Check (LDPC) codes and Polar codes, LDAC codes exhibit superior performance in low-rate and ultra-low-rate scenarios. The main contribution of this work is to analyze the characteristics and advantages of LDAC codes through statistics and simulations, focusing on their potential applications in covert communication. Numerical results indicate that LDAC codes, compared to 1/2-LDPC repeated codes at the same rate, exhibit better pseudo-randomness and lower bit error rates (BER). The enhanced pseudo-randomness and ultra low signal-to-noise ratio (SNR) make it difficult for Willie to detect, while high reliability ensures correct reception by Bob. The performance advantages indicate that LDAC codes have great potential for application in covert communication domains.