Multi-edge LDPC code[1]
Description
Irregular LDPC code whose construction generalizes those of the original examples of irregular LDPC as well as RA codes.
Realizations
Parent
Children
- Irregular LDPC code — Irregular LDPC codes can be formulated as multi-edge LDPC codes [1; Sec. XI].
- Protograph LDPC code — LDPC codes based on protographs can be formulated as multi-edge LDPC codes [5].
- Hsu-Anastasopoulos LDPC (HA-LDPC) code — HA-LDPC codes can be formulated as multi-edge LDPC codes [6].
- MacKay-Neal LDPC (MN-LDPC) code — MN-LDPC codes can be formulated as multi-edge LDPC codes [6].
Cousin
- Irregular LDPC code — The multi-edge code construction generalizes generalizes several of the original examples of irregular LDPC codes.
References
- [1]
- Richardson, Tom, and Rüdiger Urbanke. "Multi-edge type LDPC codes." Workshop honoring Prof. Bob McEliece on his 60th birthday, California Institute of Technology, Pasadena, California. 2002.
- [2]
- M. Milicevic et al., “Quasi-cyclic multi-edge LDPC codes for long-distance quantum cryptography”, npj Quantum Information 4, (2018) arXiv:1702.07740 DOI
- [3]
- H. Mani et al., “Multiedge-type low-density parity-check codes for continuous-variable quantum key distribution”, Physical Review A 103, (2021) DOI
- [4]
- A. A. E. Hajomer et al., “Continuous-variable quantum passive optical network”, (2024) arXiv:2402.16044
- [5]
- D. G. M. Mitchell, R. Smarandache, and D. J. Costello, “Quasi-cyclic LDPC codes based on pre-lifted protographs”, 2011 IEEE Information Theory Workshop (2011) DOI
- [6]
- K. KASAI and K. SAKANIWA, “Spatially-Coupled MacKay-Neal Codes and Hsu-Anastasopoulos Codes”, IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences E94-A, 2161 (2011) arXiv:1102.4612 DOI
Page edit log
- Victor V. Albert (2023-05-04) — most recent
Cite as:
“Multi-edge LDPC code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2023. https://errorcorrectionzoo.org/c/multi_edge_ldpc