Corrections to “Optimization of Non-Binary Parity Check Coefficients”

2022 ◽  
pp. 1-1
Author(s):  
Emmanuel Boutillon
Keyword(s):  
Parity Check

New rapid algorithm for detecting girth of low-density Parity-check codes

2013 ◽  
Vol 32 (11) ◽  
pp. 3100-3101
Author(s):  
Jiong-cheng LI ◽  
Gui-yu LI ◽  
Heng-hui XIAO ◽  
Hai-yi HUANG
Keyword(s):  
Low Density ◽  
Parity Check ◽  
Low Density Parity Check ◽  
Parity Check Codes

scholarly journals Flexible 5G New Radio LDPC Encoder Optimized for High Hardware Usage Efficiency

Electronics ◽  
2021 ◽  
Vol 10 (9) ◽  
pp. 1106
Author(s):  
Vladimir L. Petrović ◽  
Dragomir M. El Mezeni ◽  
Andreja Radošević
Keyword(s):  
Channel Coding ◽  
Parallel Architecture ◽  
Ldpc Codes ◽  
Parity Check ◽  
Case Scenario ◽  
New Radio ◽  
Physical Channel ◽  
Computationally Intensive ◽  
Hardware Processing ◽  
Usage Efficiency

Quasi-cyclic low-density parity-check (QC–LDPC) codes are introduced as a physical channel coding solution for data channels in 5G new radio (5G NR). Depending on the use case scenario, this standard proposes the usage of a wide variety of codes, which imposes the need for high encoder flexibility. LDPC codes from 5G NR have a convenient structure and can be efficiently encoded using forward substitution and without computationally intensive multiplications with dense matrices. However, the state-of-the-art solutions for encoder hardware implementation can be inefficient since many hardware processing units stay idle during the encoding process. This paper proposes a novel partially parallel architecture that can provide high hardware usage efficiency (HUE) while achieving encoder flexibility and support for all 5G NR codes. The proposed architecture includes a flexible circular shifting network, which is capable of shifting a single large bit vector or multiple smaller bit vectors depending on the code. The encoder architecture was built around the shifter in a way that multiple parity check matrix elements can be processed in parallel for short codes, thus providing almost the same level of parallelism as for long codes. The processing schedule was optimized for minimal encoding time using the genetic algorithm. The optimized encoder provided high throughputs, low latency, and up-to-date the best HUE.

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