In this article, a novel and systematic Low-density parity-check (LDPC) code construction, verification and implementation methodology is proposed. The methodology is composed by the simulated annealing based LDPC code constructor, the GPU based high-speed code selector, the ant colony optimization based pipeline scheduler and the FPGA-based hardware implementer. Compared to the traditional ways, this methodology enables us to construct both decoding-performance-aware and

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... re LDPC codes in a short time. Simulation results show that the generated codes have much less cycles (length 6 cycles eliminated) and memory conflicts (75% reduction on idle clocks), while having no BER performance loss compared to WiMAX codes. Additionally, the simulation speeds up by 490 times under float precision against CPU and a net throughput 24.5 Mbps is achieved. Finally, a net throughput 1.2 Gbps (bit-throughput 2.4 Gbps) multi-mode LDPC decoder is implemented on FPGA, with completely on-the-fly configurations and less than 0.2 dB BER performance loss.