LDPC Codes

DVB-S2

Rate k n Parity-Check Matrix Simulation Results
1/4 16200 64800 H.mat
1/3 21600 64800 H.mat
2/5 25920 64800 H.mat
1/2 32400 64800 H.mat
3/5 38880 64800 H.mat
2/3 43200 64800 H.mat
3/4 48600 64800 H.mat
4/5 51840 64800 H.mat
5/6 54000 64800 H.mat
8/9 57600 64800 H.mat
9/10 58320 64800 H.mat

AR3A

AR4JA

The following codes are taken from the publication:

LOW DENSITY PARITY CHECK CODES FOR USE IN NEAR-EARTH AND DEEP SPACE APPLICATIONS ", September 2007: CCSDS 131.0-B-3
Rate k n Parity-Check Matrix Simulation Results
1/2 1024 2048 H.mat
2/3 1024 1536 H.mat
4/5 1024 1280 H.mat
1/2 4096 8192 H.mat
2/3 4096 6144 H.mat
4/5 4096 5120 H.mat
1/2 16384 32768 H.mat
2/3 16384 24576 H.mat
4/5 16384 20480 H.mat

DVB-S2X

ATSC 3.0


CCSDS Uplink (Short)

The following codes are taken from the publication:

SHORT BLOCK LENGTH LDPC CODES FOR TC SYNCHRONIZATION AND CHANNEL CODING", April 2015: CCSDS 231.1-O-1
Rate k n Parity-Check Matrix Simulation Results
1/2 64 128 H.mat
1/2 128 256 H.mat
1/2 256 512 H.mat

802.3ca

The following codes are taken from the IEEE 802.3ca standard draft.

Rate k n Parity-Check Matrix Simulation Results
0.8484 14328 16888 H.mat

802.11n

The following codes are taken from the IEEE 802.11 standard (Version 2012, pp. 2304, Annex F). A copy of this standard can be obtained from IEEE website.

Rate k n Parity-Check Matrix Simulation Results
1/2 324 648 H.mat
2/3 432 648 H.mat
3/4 486 648 H.mat
5/6 540 648 H.mat
1/2 648 1296 H.mat
2/3 864 1296 H.mat
3/4 972 1296 H.mat
5/6 1080 1296 H.mat
1/2 972 1944 H.mat
2/3 1296 1944 H.mat
3/4 1458 1944 H.mat
5/6 1620 1944 H.mat

GH.n

5G

The following codes are derived from the respective 5G standardization document:

3GPP TS 38.212 V15.2.0: Multiplexing and channel coding, Jul. 2018.
Rate k n Parity-Check Matrix Simulation Results
1/4 32 128 H.mat
1/2 64 128 H.mat
2/3 85 128 H.mat
3/4 96 128 H.mat
4/5 102 128 H.mat
1/4 64 256 H.mat
1/2 128 256 H.mat
2/3 171 256 H.mat
3/4 192 256 H.mat
4/5 205 256 H.mat
1/4 128 512 H.mat
1/2 256 512 H.mat
2/3 341 512 H.mat
3/4 384 512 H.mat
4/5 410 512 H.mat
1/4 128 1024 H.mat
1/2 256 1024 H.mat
2/3 341 1024 H.mat
3/4 384 1024 H.mat
4/5 410 1024 H.mat

Finite Geometry Code

The following codes are taken from the publication:

Y. Kou, S. Lin, and M. P. C. Fossorier, “Low-density parity-check codes based on finite geometries: a rediscovery and new results,” IEEE Trans. Inform. Theory, vol. 47, no. 7, pp. 2711–2736, Nov. 2001.
Rate k n Parity-Check Matrix Simulation Results
0.82 3367 4095 H.mat