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—Staircase codes, a new class of forward-error-correction (FEC) codes suitable for high-speed optical communications , are introduced. An ITU-T G.709-compatible staircase code with rate R = 239/255 is proposed, and FPGA-based simulation results are presented, exhibiting a net coding gain (NCG) of 9.41 dB at an output error rate of 10 −15 , an improvement of(More)
—The optimal performance-complexity tradeoff for error-correcting codes at rates strictly below the Shannon limit is a central question in coding theory. This paper proposes a numerical approach for the minimization of decoding complexity for long-block-length irregular low-density parity-check (LDPC) codes. The proposed design methodology is applicable to(More)
— The complexity-rate tradeoff for error-correcting codes below the Shannon limit is a central question in coding theory. This paper makes progress in this area by presenting a joint numerical optimization of rate and decoding complexity for low-density parity-check codes. The focus of this paper is on the binary symmetric channel and on a class of decoding(More)
—A pragmatic coded modulation system is presented that incorporates signal shaping and exploits the excellent performance and efficient high-speed decoding architecture of staircase codes. Reliable communication within 0.62 bits/s/Hz of the estimated capacity (per polarization) of a system with L = 2000 km is provided by the proposed system, with an error(More)
Using a numerical approach, tradeoffs between code rate and decoding complexity are studied for long-block-length irregular low-density parity-check codes decoded using the sum-product algorithm under the usual parallel-update message-passing schedule. The channel is an additive white Gaussian noise channel and the modulation format is binary antipodal(More)
The performance of low-density parity-check (LDPC) codes transmitted over a memoryless binary-input continuous output additive white Gaussian noise (AWGN) channel and decoded with quantized min-sum decoding is strongly influenced by the decoder's quanti-zation scheme. This paper presents an efficient algorithm that determines the best uniform scalar(More)
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