Information on Result #1183954
Digital (68, 82, 2813)-net over F3, using net defined by OOA based on linear OOA(382, 2813, F3, 14, 14) (dual of [(2813, 14), 39300, 15]-NRT-code), using
- OA 7-folding and stacking [i] based on linear OA(382, 19691, F3, 14) (dual of [19691, 19609, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(382, 19692, F3, 14) (dual of [19692, 19610, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- linear OA(382, 19683, F3, 14) (dual of [19683, 19601, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(373, 19683, F3, 13) (dual of [19683, 19610, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(30, 9, F3, 0) (dual of [9, 9, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- discarding factors / shortening the dual code based on linear OA(382, 19692, F3, 14) (dual of [19692, 19610, 15]-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 (69, 83, 2813)-net over F3 | [i] | Net Duplication | |
| 2 | Digital (70, 84, 2813)-net over F3 | [i] | ||
| 3 | Digital (71, 85, 2813)-net over F3 | [i] | ||
| 4 | Digital (75, 89, 2817)-net over F3 | [i] | (u, u+v)-Construction for Nets | |
| 5 | Digital (76, 90, 2820)-net over F3 | [i] | ||