Long LDPC Designs Based on 11n LDPC Codes

Long LDPC Designs Based on 11n LDPC Codes
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Discussion on current WLAN LDPC codes introduced for IEEE 802.11n in 2004, including code rates, lengths, and industrial LDPC codes. Potential enhancements on WLAN LDPC structures widely employed in the industry, comparing NR LDPC with 11n 1944 LDPC codes, and proposing 2x-LDPC codes based on lifting on current 11n 1944 LDPC matrices for improved decoding thresholds and error floors.

  • LDPC codes
  • WLAN
  • IEEE 802.11n
  • NR LDPC
  • Industrial LDPC
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  1. July 2024 doc.: IEEE 802.11-24/1295r0 Long LDPC Designs Based on 11n LDPC Codes Date: 2024-07-16 Authors: Name Affiliations Address Phone Email Wei Lin lin.linwei@huawei.com Ming Gan Ross Jian Yu Huawei Yan Xin Chenchen Liu David Xun Yang Wei Lin (Huawei) Submission Slide 1

  2. July 2024 doc.: IEEE 802.11-24/1295r0 Discussion on Current WLAN LDPC Codes The current 11n LDPC codes were designed and introduced for 802.11n in around 2004. There are 4 code rates (1/2, 2/3, 3/4, 5/6) and 3 code lengths (648, 1296, 1944) supported in Wi-Fi systems since then Highest Rate = 5/6, Longest Length = 1944 The 12 different LDPC matrices were designed individually for each rate and length, i.e., they don t share the same base matrix or set of permutation coefficients. Since the introduction of 11n LDPC codes, multiple LDPC codes were introduced for various industrial scenarios, e.g., 5G NR, 11ad/ay, DVB, ATSC 3.0, PON, etc. Among the various industrial LDPC codes, 5G NR LDPC codes can support very large range of rates and lengths with 2 base matrices and 2 set of permutation coefficients. BG1 of size 46 x 68 can support rates of 1/3 R 8/9, and information lengths of 308 K 8448 BG2 of size 42 52 can support rates of 1/5 R 2/3, and information lengths of 40 K 3840 The 11n LDPC length of 1944 were designed for BW 40M, Streams 4, and Mod 64QAM In 802.11bn, the highest throughput can be achieved with largest BW >= 320M, 8 spatial streams, 4096QAM, thus the number of LDPC codewords can be very large with current length-1944 LDPC Wei Lin (Huawei) Submission Slide 2

  3. July 2024 doc.: IEEE 802.11-24/1295r0 Potential Enhancements on WLAN LDPC In [1], we surveyed the two major LDPC structures widely employed in industry currently. Classic QC-LDPC (11n/11ad/DVB) Quasi Cyclic + Repeat Accumulate Raptor-Like QC-LDPC (5G) Protograph + Multi-Edge Type + Accumulate Repeat Accumulate It can be seen from [1], the NR LDPC outperforms 11n 1944 LDPC codes with same length and rates Moreover, with the increase of codeword lengths, the NR LDPC outperforms the longest 11n LDPC at various code rates over 1 dB at rate-1/2 In [2], authors also discussed the requirements for enhanced coding performance Considering the performance vs complexity trade off, [2] suggested the block-length of 2x1944 bits as a sweet spot Code constructions based on lifting on current 11n 1944 LDPC matrices were proposed, and fine tuning is achieved by modifying graphs to improve decoding threshold and error floor, while retaining the lifting framework The proposed 2x-LDPC codes can reuse the existing hardware blocks of 11n 1944 LDPC codes In this contribution, 2x-LDPC codes based on lifting on current 11n 1944 LDPC matrices are also provided, with the same structure as the 2x-LDPC codes in [2] Further fine tuning is achieved by adjusting the connections to improve both decoding thresholds and error floors Wei Lin (Huawei) Submission Slide 3

  4. July 2024 doc.: IEEE 802.11-24/1295r0 Lifting on 11n 1944 LDPC Codes There are two ways of lifting that can somehow reuse the current 11n LDPC hardware CPM Diagonal Lifting (Better Reusing) vs. CPM Size Lifting (NR LDPC, Better Throughput) 11n LDPC (N = 1944, R = 5/6) Row #1 #2 #3 #4 2x-LDPC Lifting Indication matrix Row #1 #2 #3 #4 #5 #6 #7 #8 2x-LDPC (N = 3888, R = 5/6) Each Layer can reuse the current 11n LDPC Layers Further fine tuning is achieved by adjusting the connections to improve both decoding thresholds and error floors Wei Lin (Huawei) Submission Slide 4

  5. July 2024 doc.: IEEE 802.11-24/1295r0 Performance of 2x-LDPC Codes: R = 1/2 Our 2x-LDPC-A and 2x-LDPC-B in [2]: FER performance comparisons for a frame including a single/10/100 codewords At least 100 Error Blocks collected at each SNR point The performance of Num codewords is obtained by scaling the performance of single codeword: FER_Num = 1 (1 FER_1)Num Wei Lin (Huawei) Submission Slide 5

  6. July 2024 doc.: IEEE 802.11-24/1295r0 Performance of 2x-LDPC Codes: R = 2/3 Our 2x-LDPC-A and 2x-LDPC-B in [2]: FER performance comparisons for a frame including a single/10/100 codewords At least 100 Error Blocks collected at each SNR point The performance of Num codewords is obtained by scaling the performance of single codeword: FER_Num = 1 (1 FER_1)Num Wei Lin (Huawei) Submission Slide 6

  7. July 2024 doc.: IEEE 802.11-24/1295r0 Performance of 2x-LDPC Codes: R = 3/4 Our 2x-LDPC-A and 2x-LDPC-B in [2]: FER performance comparisons for a frame including a single/10/100 codewords At least 100 Error Blocks collected at each SNR point The performance of Num codewords is obtained by scaling the performance of single codeword: FER_Num = 1 (1 FER_1)Num Wei Lin (Huawei) Submission Slide 7

  8. July 2024 doc.: IEEE 802.11-24/1295r0 Performance of 2x-LDPC Codes: R = 5/6 Our 2x-LDPC-A and 2x-LDPC-B in [2]: FER performance comparisons for a frame including a single/10/100 codewords At least 100 Error Blocks collected at each SNR point The performance of Num codewords is obtained by scaling the performance of single codeword: FER_Num = 1 (1 FER_1)Num Wei Lin (Huawei) Submission Slide 8

  9. July 2024 doc.: IEEE 802.11-24/1295r0 Summary In this contribution, we provided a set of 2x-LDPC (N = 3888 bits) codes based on lifting on current 11n 1944 LDPC matrices With further fine tuning to improve both decoding thresholds and error floors, the proposed set of 2x-LDPC perform better or equivalent to the 2x-LDPC in [2]. Wei Lin (Huawei) Submission Slide 9

  10. July 2024 doc.: IEEE 802.11-24/1295r0 References 1. 2. 3. 11-24-0924-00-00bn-initial-discussion-on-possible-ldpc-improvements-in-wlan, Wei Lin, et al. 11-23-1985-03-00bn-longer-ldpc-codeword, Rethna Pulikkoonattu, Tom Richardson, et al. T. J. Richardson, Error floors of LDPC codes, in Proc. Allerton Conf. Communications, Control and Computing, Monticello, IL, Oct. 2003, pp. 1426 1435. Jeremy Thorpe, Low Density Parity Check (LDPC) Codes Constructed from Protographs, JPL INP Progress Report 42-154, August 15, 2003. T. Richardson, R. Urbanke, Multi-edge type LDPC codes, in Workshop Honoring Prof. Bob McEliece, Pasadena, CA, May 24 25, 2002. A. Abbasfar, D. Divsalar and K. Yao, "Accumulate repeat accumulate codes," ISIT 2004. Proceedings., Chicago, IL, USA, 2004, pp. 505. 4. 5. 6. Wei Lin (Huawei) Submission Slide 10

  11. July 2024 doc.: IEEE 802.11-24/1295r0 Thank You Wei Lin (Huawei) Submission Slide 11

  12. July 2024 doc.: IEEE 802.11-24/1295r0 Appendix: 2x-LDPC Matrix for R = 1/2 57 -1 -1 -1 -1 -1 -1 -1 50 -1 -1 -1 -1 11 -1 -1 -1 50 -1 -1 -1 79 -1 -1 1 -1 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 57 -1 -1 -1 -1 -1 -1 -1 50 -1 -1 11 -1 -1 -1 50 -1 -1 -1 79 -1 -1 -1 -1 1 -1 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 3 -1 -1 -1 28 -1 -1 0 -1 -1 -1 -1 -1 -1 -1 -1 55 -1 7 -1 -1 -1 -1 -1 -1 0 -1 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 3 -1 -1 -1 28 -1 -1 -1 -1 0 -1 -1 -1 -1 -1 -1 55 -1 7 -1 -1 -1 -1 -1 -1 -1 -1 0 -1 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 30 -1 -1 -1 -1 -1 -1 -1 -1 24 37 -1 -1 -1 -1 -1 -1 56 14 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 -1 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 30 -1 -1 -1 -1 -1 -1 24 -1 -1 37 -1 -1 -1 -1 56 -1 -1 14 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 -1 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 62 53 -1 -1 -1 -1 -1 -1 53 -1 -1 -1 -1 3 -1 -1 35 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 -1 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 62 -1 -1 53 -1 -1 -1 -1 53 -1 -1 -1 -1 -1 -1 3 35 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 -1 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 40 -1 -1 -1 -1 20 -1 -1 66 -1 -1 -1 -1 22 -1 28 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 -1 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 40 -1 -1 -1 -1 -1 -1 20 66 -1 -1 -1 -1 -1 -1 22 -1 28 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 -1 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 -1 -1 -1 -1 -1 -1 -1 -1 8 -1 -1 42 -1 -1 -1 50 -1 -1 -1 -1 -1 -1 8 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 -1 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 -1 -1 -1 -1 -1 -1 8 -1 -1 -1 -1 42 -1 -1 -1 50 -1 -1 -1 -1 8 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 -1 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 69 -1 79 79 -1 -1 -1 -1 -1 -1 -1 56 -1 -1 -1 -1 52 -1 -1 -1 -1 -1 -1 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 -1 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 69 -1 79 -1 -1 79 -1 -1 -1 -1 -1 -1 -1 56 -1 -1 52 -1 -1 -1 -1 -1 -1 -1 -1 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 -1 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 65 -1 -1 -1 -1 -1 -1 -1 38 -1 57 -1 -1 -1 -1 72 -1 -1 -1 27 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 -1 0 -1 -1 -1 -1 -1 -1 -1 65 -1 -1 -1 -1 -1 -1 -1 38 -1 57 -1 -1 -1 -1 -1 -1 72 -1 -1 -1 27 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 -1 0 -1 -1 -1 -1 -1 -1 -1 64 -1 -1 -1 -1 -1 -1 14 -1 52 -1 -1 -1 -1 -1 30 -1 -1 -1 -1 -1 32 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 -1 0 -1 -1 -1 -1 -1 64 -1 -1 -1 -1 -1 -1 -1 -1 14 -1 52 -1 -1 -1 -1 -1 30 -1 -1 -1 -1 -1 32 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 -1 0 -1 -1 -1 -1 -1 -1 -1 45 -1 -1 -1 70 -1 0 -1 -1 -1 -1 -1 -1 -1 77 9 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 -1 0 -1 -1 -1 -1 -1 45 -1 -1 -1 70 -1 0 -1 -1 -1 -1 -1 -1 -1 77 -1 -1 9 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 -1 0 -1 -1 -1 2 -1 56 -1 -1 -1 57 35 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 12 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 -1 0 -1 2 -1 56 -1 -1 -1 57 -1 -1 35 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 12 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 -1 0 -1 24 -1 -1 61 -1 -1 -1 -1 60 -1 -1 -1 -1 27 -1 -1 51 -1 -1 -1 -1 -1 16 1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 -1 24 -1 -1 -1 -1 61 -1 -1 60 -1 -1 -1 -1 -1 -1 27 51 -1 -1 -1 -1 -1 16 -1 -1 1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 Wei Lin (Huawei) Submission Slide 12

  13. July 2024 doc.: IEEE 802.11-24/1295r0 Appendix: 2x-LDPC Matrix for R = 2/3 -1 61 75 -1 -1 4 -1 63 -1 56 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 8 -1 -1 2 -1 -1 17 -1 25 1 -1 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 61 -1 -1 75 4 -1 63 -1 56 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 8 -1 -1 -1 -1 2 17 -1 25 -1 -1 1 -1 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 56 -1 74 -1 -1 77 20 -1 -1 -1 -1 -1 -1 -1 64 -1 -1 24 4 -1 -1 67 -1 -1 -1 7 -1 -1 -1 -1 -1 -1 -1 -1 0 -1 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 56 -1 74 77 -1 -1 20 -1 -1 -1 -1 -1 -1 -1 64 24 -1 -1 4 67 -1 -1 -1 7 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 -1 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 28 21 -1 -1 68 10 -1 7 -1 -1 14 -1 65 -1 -1 -1 -1 -1 -1 23 -1 -1 -1 -1 -1 -1 -1 -1 75 -1 -1 -1 -1 -1 -1 0 -1 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 28 -1 -1 21 68 -1 -1 10 -1 7 14 -1 65 -1 -1 -1 -1 -1 -1 -1 -1 23 -1 -1 -1 -1 -1 -1 75 -1 -1 -1 -1 -1 -1 -1 -1 0 -1 0 -1 -1 -1 -1 -1 -1 -1 -1 48 -1 38 -1 -1 43 78 -1 -1 76 -1 -1 -1 -1 -1 -1 -1 -1 5 -1 36 -1 -1 -1 15 -1 -1 72 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 -1 0 -1 -1 -1 -1 -1 -1 -1 -1 48 -1 38 43 -1 -1 78 76 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 5 -1 36 -1 -1 -1 15 72 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 -1 0 -1 -1 -1 -1 -1 -1 40 -1 -1 2 -1 53 25 -1 -1 -1 52 -1 62 -1 -1 -1 -1 20 -1 -1 -1 -1 44 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 -1 -1 -1 -1 -1 -1 -1 0 -1 0 -1 -1 -1 -1 -1 -1 40 2 -1 53 -1 -1 25 -1 -1 -1 52 -1 62 -1 -1 20 -1 -1 -1 -1 -1 -1 44 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 -1 -1 -1 -1 -1 -1 -1 0 -1 0 -1 -1 -1 -1 -1 69 -1 23 -1 64 10 -1 22 -1 -1 -1 -1 21 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 68 -1 -1 23 -1 29 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 -1 0 -1 -1 -1 69 -1 23 -1 64 -1 -1 10 -1 22 -1 -1 21 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 68 23 -1 29 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 -1 0 -1 -1 12 -1 0 -1 68 -1 20 -1 55 -1 61 -1 -1 -1 -1 40 -1 -1 -1 -1 -1 -1 -1 52 -1 -1 -1 -1 -1 -1 -1 44 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 -1 0 -1 -1 12 -1 0 -1 68 -1 20 -1 55 -1 61 -1 -1 40 -1 -1 -1 -1 -1 -1 -1 52 -1 -1 -1 -1 -1 -1 -1 44 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 -1 0 -1 58 -1 8 -1 34 -1 64 -1 78 -1 -1 -1 -1 -1 11 -1 78 -1 24 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 58 1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 -1 58 -1 8 -1 34 -1 64 -1 78 -1 -1 -1 -1 -1 11 -1 78 -1 24 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 58 -1 -1 1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 Wei Lin (Huawei) Submission Slide 13

  14. July 2024 doc.: IEEE 802.11-24/1295r0 Appendix: 2x-LDPC Matrix for R = 3/4 48 -1 -1 29 28 -1 -1 39 9 -1 61 -1 -1 -1 -1 -1 -1 -1 63 -1 45 -1 80 -1 -1 -1 -1 -1 -1 -1 37 -1 -1 32 22 -1 1 -1 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 48 29 -1 -1 28 39 -1 -1 9 -1 61 -1 -1 -1 -1 -1 -1 -1 63 -1 45 -1 80 -1 -1 -1 -1 -1 -1 -1 37 32 -1 -1 22 -1 1 -1 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 4 49 -1 42 -1 48 -1 11 -1 30 -1 -1 -1 -1 -1 -1 -1 49 -1 -1 17 41 -1 37 -1 -1 15 -1 -1 -1 54 -1 -1 -1 -1 -1 -1 0 -1 0 -1 -1 -1 -1 -1 -1 -1 4 -1 -1 49 -1 42 -1 48 -1 11 -1 30 -1 -1 -1 -1 -1 -1 -1 49 17 -1 -1 41 -1 37 15 -1 -1 -1 54 -1 -1 -1 -1 -1 -1 -1 -1 0 -1 0 -1 -1 -1 -1 -1 -1 35 -1 -1 76 -1 78 -1 51 -1 37 -1 35 21 -1 -1 -1 17 -1 64 -1 -1 -1 -1 -1 -1 -1 59 -1 7 -1 -1 -1 -1 -1 32 -1 -1 -1 -1 -1 0 -1 0 -1 -1 -1 -1 -1 -1 35 76 -1 78 -1 51 -1 37 -1 35 -1 -1 21 -1 -1 -1 17 -1 64 -1 -1 -1 -1 -1 -1 -1 59 -1 7 -1 -1 -1 -1 -1 32 -1 -1 -1 -1 -1 0 -1 0 -1 -1 -1 -1 -1 9 -1 65 44 -1 9 -1 54 -1 -1 56 73 -1 -1 34 -1 42 -1 -1 -1 -1 -1 -1 35 -1 -1 -1 -1 -1 -1 -1 -1 46 39 -1 0 -1 -1 -1 -1 -1 0 -1 0 -1 -1 -1 9 -1 65 -1 -1 44 -1 9 -1 54 56 -1 -1 73 34 -1 42 -1 -1 -1 -1 -1 -1 -1 -1 35 -1 -1 -1 -1 -1 -1 46 -1 -1 39 -1 0 -1 -1 -1 -1 -1 0 -1 0 -1 -1 -1 3 62 -1 -1 7 80 -1 -1 68 26 -1 -1 -1 -1 80 55 -1 -1 -1 36 -1 -1 -1 -1 26 -1 -1 -1 9 -1 -1 -1 72 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 -1 0 -1 3 -1 -1 62 7 -1 -1 80 68 -1 -1 26 -1 -1 80 -1 -1 55 -1 -1 -1 36 -1 -1 26 -1 -1 -1 9 -1 -1 -1 72 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 -1 0 -1 26 -1 75 33 -1 21 -1 69 -1 -1 59 -1 3 -1 38 -1 -1 -1 -1 -1 -1 -1 35 -1 -1 62 -1 36 -1 26 -1 -1 -1 -1 -1 1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 -1 26 -1 75 -1 -1 33 -1 21 -1 69 59 -1 3 -1 38 -1 -1 -1 -1 -1 -1 -1 35 -1 -1 -1 -1 62 -1 36 -1 26 -1 -1 -1 -1 -1 1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 Wei Lin (Huawei) Submission Slide 14

  15. July 2024 doc.: IEEE 802.11-24/1295r0 Appendix: 2x-LDPC Matrix for R = 5/6 -1 13 -1 48 -1 80 66 -1 -1 4 -1 74 -1 7 30 -1 76 -1 -1 52 37 -1 60 -1 -1 -1 -1 49 73 -1 -1 31 -1 74 73 -1 23 -1 -1 -1 1 -1 0 -1 -1 -1 -1 -1 13 -1 48 -1 80 -1 -1 66 4 -1 74 -1 7 -1 -1 30 -1 76 52 -1 -1 37 -1 60 -1 -1 49 -1 -1 73 31 -1 74 -1 -1 73 -1 23 -1 -1 -1 1 -1 0 -1 -1 -1 -1 -1 69 63 -1 -1 74 56 -1 64 -1 -1 77 57 -1 65 -1 -1 6 -1 16 51 -1 -1 -1 64 -1 -1 -1 68 -1 9 -1 -1 48 62 -1 54 -1 27 -1 -1 -1 0 -1 0 -1 -1 -1 69 -1 -1 63 74 -1 -1 56 -1 64 77 -1 -1 57 -1 65 6 -1 16 -1 -1 51 -1 -1 -1 64 -1 -1 -1 68 -1 9 48 -1 -1 62 -1 54 -1 27 -1 -1 -1 0 -1 0 -1 -1 51 -1 15 -1 0 -1 -1 80 -1 24 25 -1 42 -1 54 -1 -1 44 -1 71 -1 71 9 -1 67 -1 -1 35 -1 -1 58 -1 -1 -1 29 -1 -1 -1 -1 53 0 -1 -1 -1 0 -1 0 -1 -1 51 -1 15 -1 0 80 -1 24 -1 -1 25 -1 42 -1 54 44 -1 71 -1 71 -1 -1 9 -1 67 35 -1 -1 -1 -1 58 -1 -1 -1 29 -1 -1 53 -1 -1 0 -1 -1 -1 0 -1 0 16 -1 -1 29 36 -1 -1 41 44 -1 56 -1 -1 59 37 -1 50 -1 24 -1 -1 -1 -1 65 4 -1 65 -1 52 -1 -1 -1 -1 4 -1 -1 73 -1 -1 52 1 -1 -1 -1 -1 -1 0 -1 -1 16 29 -1 -1 36 41 -1 -1 44 -1 56 59 -1 -1 37 -1 50 -1 24 -1 -1 65 -1 -1 4 -1 65 -1 52 -1 -1 4 -1 -1 -1 -1 73 52 -1 -1 1 -1 -1 -1 -1 -1 0 Wei Lin (Huawei) Submission Slide 15

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