- L4: Three two-level factors
- L8: Seven two-level factors
- L9 : Four three-level factors
- L12: Eleven two-level factors
- L16: Fifteen two-level factors
- L16b: Five four-level factors
- L18: One two-level and seven three-level factors
- L25: Six five-level factors
- L27: Thirteen three-level factors
- L32: Thirty-two two-level factors
- L32b: One two-level factor and nine four-level factors
- L36: Eleven two-level factors and twelve three-level factors
- L50: One two-level factors at 2 levels and eleven five-level factors
- L54: One two-level factor and twenty-five three-level factors
- L64: Thirty-one two-level factors
- L64b: Twenty-one four-level factors
- L81: Forty three-level factors
- A Library of Orthogonal Arrays by N J A Sloane
- Table of Taguchi Designs

*Note that L36b is temporarily unavailable - cf.*
http://www.itl.nist.gov/div898/software/dataplot/designs.htm.

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