Orthogonal array[13] 

Description

Stub.

Notes

See [4] for a book on orthogonal arrays.

Parent

Cousin

  • Mixed code — Orthogonal arrays generalized to mixed alphabets are caled mixed-level orthogonal arrays [5,6], (see [4; Ch. 9]). See Ref. [7] for bounds on mixed orthogonal arrays.

References

[1]
C. R. Rao, Hypercubes of strength d leading to confounded designs in factorial experiments. Bull. Calcutta Math. Soc., 38, 67-78.
[2]
C. R. Rao, “Factorial Experiments Derivable from Combinatorial Arrangements of Arrays”, Supplement to the Journal of the Royal Statistical Society 9, 128 (1947) DOI
[3]
C. R. Rao, “On a Class of Arrangements”, Proceedings of the Edinburgh Mathematical Society 8, 119 (1949) DOI
[4]
A. S. Hedayat, N. J. A. Sloane, and J. Stufken, Orthogonal Arrays (Springer New York, 1999) DOI
[5]
Addelman, S., & Kempthorne, O. (1961b). Orthogonal Main-Effect Plans. Technical Report ARL 79, Aeronautical Research Lab., Wright-Patterson Air Force Base, Ohio, Nov. 1961.
[6]
C. R. RAO, “Some Combinatorial Problems of Arrays and Applications to Design of Experiments††Paper read at the International Symposium on Combinatorial Mathematics and its Applications, Fort Collins, Colorado, September 1971.”, A Survey of Combinatorial Theory 349 (1973) DOI
[7]
N. J. A. Sloane and J. Stufken, “A linear programming bound for orthogonal arrays with mixed levels”, Journal of Statistical Planning and Inference 56, 295 (1996) DOI
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Zoo Code ID: orthogonal_array

Cite as:
“Orthogonal array”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2024. https://errorcorrectionzoo.org/c/orthogonal_array
BibTeX:
@incollection{eczoo_orthogonal_array, title={Orthogonal array}, booktitle={The Error Correction Zoo}, year={2024}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/orthogonal_array} }
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“Orthogonal array”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2024. https://errorcorrectionzoo.org/c/orthogonal_array

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