Information on Result #1824876
(18, 24, 6562)-net in base 9, using base change based on digital (10, 16, 6562)-net over F27, using
- net defined by OOA [i] based on linear OOA(2716, 6562, F27, 6, 6) (dual of [(6562, 6), 39356, 7]-NRT-code), using
- OA 3-folding and stacking [i] based on linear OA(2716, 19686, F27, 6) (dual of [19686, 19670, 7]-code), using
- construction X applied to Ce(5) ⊂ Ce(4) [i] based on
- linear OA(2716, 19683, F27, 6) (dual of [19683, 19667, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(2713, 19683, F27, 5) (dual of [19683, 19670, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(270, 3, F27, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(270, s, F27, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(5) ⊂ Ce(4) [i] based on
- OA 3-folding and stacking [i] based on linear OA(2716, 19686, F27, 6) (dual of [19686, 19670, 7]-code), using
Mode: Constructive.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | (19, 25, 6562)-net in base 9 | [i] | Net Duplication | |
| 2 | (102, 114, 2802762)-net in base 9 | [i] | (u, u+v)-Construction for Nets | |
| 3 | (109, 122, 2802762)-net in base 9 | [i] | ||