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Notes

LDPC codes from communication standards

NOTE: The dimensions of H in ALL CASES are (n-k) x n

DOCSIS 3.1 (Data Over Cable Service Interface Specification)

n k m = n - k Code rate R = k/n
16200 (Long) 14400 1800 0.889
5940 (Medium) 5040 900 0.8484
1080 (Short) 810 270 0.75

WiFi IEEE 802.11n

n k m = n - k Code rate R = k/n
648 234 234 0.5
432 216 0.67
486 162 0.75
540 108 0.83
------ ------ ------------- ---------------------
1296 648 648 0.5
864 432 0.67
486 234 0.75
1080 216 0.83
------ ------ ------------- ---------------------
1944 972 972 0.5
1296 648 0.67
1458 486 0.75
1710 234 0.83

WiMax IEEE 802.16

n k m = n - k Code rate R = k/n
2304 1152 1152 0.5
1536 768 0.67
1728 576 0.75
1920 384 0.83

5G-NR

n k m = n - k Code rate R = k/n
26,112 8448 17,664 0.323

[REF] Mahmudul Hasan, "LDPC Codes from Communication Standards," webdemo, Institute of Telecommunications, University of Stuttgart, Germany, Sep. 2021. [Online] Available: http://webdemo.inue.uni-stuttgart.de

Bibtex entry: ldpcwebdemo

5G-NR https://github.com/xiaoshaoning/5g-ldpc/blob/master/H.mat