Information on Result #1203162
Digital (21, 29, 2097150)-net over F128, using net defined by OOA based on linear OOA(12829, 2097150, F128, 8, 8) (dual of [(2097150, 8), 16777171, 9]-NRT-code), using
- OA 4-folding and stacking [i] based on linear OA(12829, 8388600, F128, 8) (dual of [8388600, 8388571, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(12829, large, F128, 8) (dual of [large, large−29, 9]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 17895697 | 1284−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(12829, large, F128, 8) (dual of [large, large−29, 9]-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 (22, 30, 2097150)-net over F128 | [i] | Net Duplication | |
| 2 | Digital (23, 31, 2097150)-net over F128 | [i] | ||
| 3 | Digital (25, 33, 2097279)-net over F128 | [i] | (u, u+v)-Construction for Nets | |
| 4 | Digital (26, 34, 2097300)-net over F128 | [i] | ||
| 5 | Digital (27, 35, 2105278)-net over F128 | [i] | ||
| 6 | Digital (28, 36, 2105343)-net over F128 | [i] | ||
| 7 | Digital (29, 37, 2113662)-net over F128 | [i] | ||
| 8 | Digital (30, 38, 2113683)-net over F128 | [i] | ||
| 9 | Digital (31, 39, 3145727)-net over F128 | [i] | ||
| 10 | Digital (32, 40, 3145730)-net over F128 | [i] | ||
| 11 | Digital (33, 41, 3145856)-net over F128 | [i] | ||
| 12 | Digital (35, 43, 4194304)-net over F128 | [i] | Generalized (u, u+v)-Construction for Nets | |