2005
DOI: 10.1109/lpt.2005.856337
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Nonbinary LDPC codes for optical communication systems

Abstract: Abstract-We propose a class of moderate-length nonbinary low-density parity-check (LDPC) codes for long-haul high-speed optical transmission systems. In particular, we present an LDPC code with 12.59% redundancy that achieves a 9.9-dB coding gain at a bit-error rate of 10 10 . A similar coding gain is obtained for a long nonbinary LDPC code with a redundancy of only 6.7%.

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Cited by 56 publications
(33 citation statements)
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“…But, due to the evolution of the processing capacity, it is expected that the complexity of non-binary codes to no longer pose a disadvantage in relation to binary codes. This is confirmed by the extensive studies of NB-LDPC codes, [13][14][15][16][17].…”
Section: Introductionsupporting
confidence: 57%
“…But, due to the evolution of the processing capacity, it is expected that the complexity of non-binary codes to no longer pose a disadvantage in relation to binary codes. This is confirmed by the extensive studies of NB-LDPC codes, [13][14][15][16][17].…”
Section: Introductionsupporting
confidence: 57%
“…Symbol detection with variable code rate selection and cyclic rotation described above is able to completely compensate for the first-order PMD with differential group delay (DGD) of even 1500 ps. The aggregate data rate of more than 100 Gb/s can also be achieved based on 64-QAM and polarisation diversity [26]. However, to deal with PMD, someone requires using turbo code rate equalisation along with the adaptive filtration approach.…”
Section: Resultsmentioning
confidence: 99%
“…Briefly, the complexity of SPA for nonbinary codes is higher [14] compared to that of binary LDPC codes [16]. However, the highly regular structure of parity-check matrix of block-circulant codes proposed by authors in [15] facilitates the implementation. Moreover, the basic operations in lower Galois field are not difficult to implement (see [35]), and recently several efficient iterative decoding algorithms for nonbinary LDPC codes have been proposed [14], [36], [37].…”
Section: Comparison Of Structured Ldpc Codes and Turbo Product Cmentioning
confidence: 99%