Information on Result #1193844
Digital (43, 58, 1875)-net over F9, using net defined by OOA based on linear OOA(958, 1875, F9, 15, 15) (dual of [(1875, 15), 28067, 16]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(958, 13126, F9, 15) (dual of [13126, 13068, 16]-code), using
- trace code [i] based on linear OA(8129, 6563, F81, 15) (dual of [6563, 6534, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(13) [i] based on
- linear OA(8129, 6561, F81, 15) (dual of [6561, 6532, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(8127, 6561, F81, 14) (dual of [6561, 6534, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(810, s, F81, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(14) ⊂ Ce(13) [i] based on
- trace code [i] based on linear OA(8129, 6563, F81, 15) (dual of [6563, 6534, 16]-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 (44, 59, 1875)-net over F9 | [i] | Net Duplication | |
| 2 | Digital (50, 65, 1885)-net over F9 | [i] | (u, u+v)-Construction for Nets | |