Information on Result #1194496
Digital (107, 131, 44289)-net over F9, using net defined by OOA based on linear OOA(9131, 44289, F9, 24, 24) (dual of [(44289, 24), 1062805, 25]-NRT-code), using
- OA 12-folding and stacking [i] based on linear OA(9131, 531468, F9, 24) (dual of [531468, 531337, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(9131, 531469, F9, 24) (dual of [531469, 531338, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(19) [i] based on
- linear OA(9127, 531441, F9, 24) (dual of [531441, 531314, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(9103, 531441, F9, 20) (dual of [531441, 531338, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(94, 28, F9, 3) (dual of [28, 24, 4]-code or 28-cap in PG(3,9)), using
- construction X applied to Ce(23) ⊂ Ce(19) [i] based on
- discarding factors / shortening the dual code based on linear OA(9131, 531469, F9, 24) (dual of [531469, 531338, 25]-code), using
Mode: Constructive and linear.
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 | Digital (108, 132, 44289)-net over F9 | [i] | Net Duplication | |
| 2 | Digital (109, 133, 44289)-net over F9 | [i] | ||
| 3 | Digital (110, 134, 44289)-net over F9 | [i] | ||
| 4 | Digital (111, 135, 44289)-net over F9 | [i] | ||