A survey on high-throughput non-binary LDPC decoders: ASIC, FPGA, and GPU architectures

O Ferraz, S Subramaniyan, R Chinthala… - … Surveys & Tutorials, 2021 - ieeexplore.ieee.org
Non-binary low-density parity-check (NB-LDPC) codes show higher error-correcting
performance than binary low-density parity-check (LDPC) codes when the codeword length …

Basic-set trellis min–max decoder architecture for nonbinary ldpc codes with high-order galois fields

HP Thi, H Lee - IEEE Transactions on Very Large Scale …, 2017 - ieeexplore.ieee.org
Nonbinary low-density parity-check (NB-LDPC) codes outperform their binary counterparts
in terms of error-correction performance. However, the drawback of NB-LDPC decoders is …

Reduced-complexity nonbinary LDPC decoder for high-order Galois fields based on trellis min–max algorithm

JO Lacruz, F García-Herrero… - IEEE Transactions on …, 2016 - ieeexplore.ieee.org
Nonbinary LDPC codes outperform their binary counterparts in different scenarios. However,
they require a considerable increase in complexity, especially in the check-node (CN) …

Symbol flipping decoding algorithms based on prediction for non-binary LDPC codes

S Wang, Q Huang, Z Wang - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
This paper constructs an objective function for symbol flipping decoding algorithms,
considering not only soft reliability, but also hard reliability. The maximization of this …

Minimum-Set Min-Sum Decoding Algorithms for Non-Binary LDPC Codes

Z Liu, H Zhang, J Huo, N Wang - IEEE Transactions on …, 2024 - ieeexplore.ieee.org
During the check node (CN) update, the elements of input message vectors are redundant
for the output message vectors. Hence, in this paper, we exactly select from the input …

Set message-passing decoding algorithms for regular non-binary LDPC codes

Q Huang, L Song, Z Wang - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
In the check node (CN) update of non-binary message-passing algorithms, each element of
reliability vectors takes the same computational complexity. However, our analysis indicates …

Second minimum approximation for min-sum decoders suitable for high-rate LDPC codes

JM Català-Pérez, JO Lacruz, F Garcia-Herrero… - Circuits, Systems, and …, 2019 - Springer
In this paper, a method to approximate the second minimum required in the computation of
the check node update of an LDPC decoder based on min-sum algorithm is presented. The …

An efficient decoder architecture for nonbinary LDPC codes with extended min-sum algorithm

CL Lin, SW Tu, CL Chen, HC Chang… - IEEE Transactions on …, 2016 - ieeexplore.ieee.org
Nonbinary low-density-parity-check (NB-LDPC) codes, an extension of binary LDPC codes,
provide stronger error-correcting capability than binary LDPC codes. However, the …

Two-extra-column trellis min–max decoder architecture for nonbinary LDPC codes

HP Thi, H Lee - IEEE Transactions on Very Large Scale …, 2017 - ieeexplore.ieee.org
In this brief, a novel two-extra-column trellis min-max algorithm and the decoder architecture
based on only the first minimum values are proposed for nonbinary low-density parity-check …

Two enhanced reliability-based decoding algorithms for nonbinary LDPC codes

L Song, Q Huang, Z Wang, M Zhang… - IEEE Transactions on …, 2015 - ieeexplore.ieee.org
The weighted bit-reliability-based (wBRB) algorithm for nonbinary LDPC codes suffers
certain loss of symbol-reliability. Thus, this paper enhances its soft-decision version by …