In this paper, a comprehensive overview of Gaussian data modulation and error correction negotiation in Continuous Variable Quantum Key Distribution (CVQKD) is presented. Emphasizing on CVQKD systems under varying Signal-to-Noise Ratios (SNR), a variable code rate Low-Density Parity-Check (LDPC) error correction method is employed. Our findings indicate that compared to the fixed code rate LDPC error correction, the variable code rate LDPC showcases superior error correction performance in CVQKD systems subjected to fluctuating SNR.