Toward Terabits-per-second Communications: A High-Throughput Hardware Implementation of $G_N$-Coset Codes

Abstract: Recently, a parallel decoding algorithm of $G_N$-coset codes was proposed.The algorithm exploits two equivalent decoding graphs.For each graph, the inner code part, which consists of independent component codes, is decoded in parallel. The extrinsic information of the code bits is obtained and iteratively exchanged between the graphs until convergence. This algorithm enjoys a higher decoding parallelism than the previous successive cancellation algorithms, due to the avoidance of serial outer code processing. In this work, we present a hardware implementation of the parallel decoding algorithm, it can support maximum $N=16384$. We complete the decoder's physical layout in TSMC $16nm$ process and the size is $999.936\mu m\times 999.936\mu m, \,\approx 1.00mm^2$. The decoder's area efficiency and power consumption are evaluated for the cases of $N=16384,K=13225$ and $N=16384, K=14161$. Scaled to $7nm$ process, the decoder's throughput is higher than $477Gbps/mm^2$ and $533Gbps/mm^2$ with five iterations.