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Alternate direction method of multipliers (ADMM) technique has recently been proposed for LDPC decoding. Even though it improves the error rate performance compared with traditional message passing (MP) techniques, it shows a higher computation complexity. In this article, the ADMM decoding algorithm is first described. Then, its computation complexity is analyzed. Finally, an optimized version which benefits from the multi-core processors architecture as well as the ADMM algorithm's parallelism is presented. The optimized version of the ADMM decoder can achieve up to 30 Mbps for standardized LDPC codes on a laptop x86 processor. Therefore, it could guide an efficient GPU implementation for real-time and highthroughput decoding systems requiring correction performances beyond MP-Sum Product Algorithm (SPA) capabilities.

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