To correct the errors introduced by the approximation in the Min Sum (MS) algorithm with low complexity, we proposed Low-Complexity Corrected Min Sum (LCC-MS) algorithm. Aiming at the implementation bottleneck of the algorithm on the self-developed DSP (Universal Communication Processor, UCP), we optimized the algorithm process and expanded the instruction set of UCP. Therefore, the LDPC decoder based on LCC-MS algorithm is implemented on UCP, and verified on the chip that has been taped out. The verification results of the longest code length and the highest code rate show that the LCC-MS algorithm has a gain of 0.16dB when the bit error rate is 10^-5 compared with the MS algorithm, and the decoder based on LCC-MS algorithm can process up to 149 code blocks in one time slot.