Information on Result #801633
Linear OA(5138, 390671, F5, 20) (dual of [390671, 390533, 21]-code), using construction X applied to Ce(20) ⊂ Ce(13) based on
- linear OA(5129, 390625, F5, 21) (dual of [390625, 390496, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(589, 390625, F5, 14) (dual of [390625, 390536, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [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(5138, 195335, F5, 2, 20) (dual of [(195335, 2), 390532, 21]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(5138, 39067, F5, 20, 20) (dual of [(39067, 20), 781202, 21]-NRT-code) | [i] | OA Folding and Stacking | |