Information on Result #1194386
Digital (93, 115, 48313)-net over F9, using net defined by OOA based on linear OOA(9115, 48313, F9, 22, 22) (dual of [(48313, 22), 1062771, 23]-NRT-code), using
- OA 11-folding and stacking [i] based on linear OA(9115, 531443, F9, 22) (dual of [531443, 531328, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(9115, 531447, F9, 22) (dual of [531447, 531332, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(20) [i] based on
- linear OA(9115, 531441, F9, 22) (dual of [531441, 531326, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(9109, 531441, F9, 21) (dual of [531441, 531332, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(90, 6, F9, 0) (dual of [6, 6, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(21) ⊂ Ce(20) [i] based on
- discarding factors / shortening the dual code based on linear OA(9115, 531447, F9, 22) (dual of [531447, 531332, 23]-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 (104, 126, 48323)-net over F9 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (105, 127, 48329)-net over F9 | [i] | ||