Sum-rank-metric code[1]
Description
A code whose performance is evaluated in the sum-rank metric, which is a metric that generalizes both the Hamming metric and the rank metric.
Parents
- Matrix-based code
- Distributed-storage code — Sum-rank-metric codes are useful for distributed storage [2].
Children
- Rank-metric code — The sum-rank metric generalizes both the Hamming metric and the rank metric [3].
- Maximum-sum-rank distance (MSRD) code
Cousin
- Binary code — The sum-rank metric generalizes both the Hamming metric and the rank metric [3].
References
- [1]
- R. W. Nobrega and B. F. Uchoa-Filho, “Multishot Codes for Network Coding using Rank-Metric Codes”, (2010) arXiv:1001.2059
- [2]
- U. Martínez-Peñas and F. R. Kschischang, “Universal and Dynamic Locally Repairable Codes with Maximal Recoverability via Sum-Rank Codes”, (2019) arXiv:1809.11158
- [3]
- U. Martínez-Peñas, “Skew and linearized Reed-Solomon codes and maximum sum rank distance codes over any division ring”, (2018) arXiv:1710.03109
Page edit log
- Victor V. Albert (2024-08-15) — most recent
Cite as:
“Sum-rank-metric code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2024. https://errorcorrectionzoo.org/c/sum_rank_metric