Information on Result #801629
Linear OA(5136, 1953171, F5, 18) (dual of [1953171, 1953035, 19]-code), using construction X applied to Ce(17) ⊂ Ce(11) based on
- linear OA(5127, 1953125, F5, 18) (dual of [1953125, 1952998, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(582, 1953125, F5, 12) (dual of [1953125, 1953043, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(59, 46, F5, 5) (dual of [46, 37, 6]-code), using
- extracting embedded orthogonal array [i] based on digital (4, 9, 46)-net over F5, using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(5136, 651057, F5, 3, 18) (dual of [(651057, 3), 1953035, 19]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(5136, 217019, F5, 18, 18) (dual of [(217019, 18), 3906206, 19]-NRT-code) | [i] | OA Folding and Stacking | |