Niederreiter-Rosenbloom-Tsfasman (NRT) code[14] 

Description

A poset code based on the total ordering of \([n]\), i.e., \(1\leq 2\leq \cdots \leq n\).

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References

[1]
H. Niederreiter, “Point sets and sequences with small discrepancy”, Monatshefte für Mathematik 104, 273 (1987) DOI
[2]
H. Niederreiter, “A combinatorial problem for vector spaces over finite fields”, Discrete Mathematics 96, 221 (1991) DOI
[3]
H. Niederreiter, “Orthogonal arrays and other combinatorial aspects in the theory of uniform point distributions in unit cubes”, Discrete Mathematics 106–107, 361 (1992) DOI
[4]
M. Yu. Rosenbloom, M. A. Tsfasman, “Codes for the m-Metric”, Probl. Peredachi Inf., 33:1 (1997), 55–63; Problems Inform. Transmission, 33:1 (1997), 45–52
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Zoo Code ID: nrt

Cite as:
“Niederreiter-Rosenbloom-Tsfasman (NRT) code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2024. https://errorcorrectionzoo.org/c/nrt
BibTeX:
@incollection{eczoo_nrt, title={Niederreiter-Rosenbloom-Tsfasman (NRT) code}, booktitle={The Error Correction Zoo}, year={2024}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/nrt} }
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Permanent link:
https://errorcorrectionzoo.org/c/nrt

Cite as:

“Niederreiter-Rosenbloom-Tsfasman (NRT) code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2024. https://errorcorrectionzoo.org/c/nrt

Github: https://github.com/errorcorrectionzoo/eczoo_data/edit/main/codes/classical/q-ary_digits/alternative_metrics/poset/nrt.yml.