Information on Result #1203284
Digital (27, 37, 1677720)-net over F128, using net defined by OOA based on linear OOA(12837, 1677720, F128, 10, 10) (dual of [(1677720, 10), 16777163, 11]-NRT-code), using
- OA 5-folding and stacking [i] based on linear OA(12837, 8388600, F128, 10) (dual of [8388600, 8388563, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(12837, large, F128, 10) (dual of [large, large−37, 11]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9256395 | 1284−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- discarding factors / shortening the dual code based on linear OA(12837, large, F128, 10) (dual of [large, large−37, 11]-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 (28, 38, 1677720)-net over F128 | [i] | Net Duplication | |
| 2 | Digital (29, 39, 1677720)-net over F128 | [i] | ||
| 3 | Digital (32, 42, 1677849)-net over F128 | [i] | (u, u+v)-Construction for Nets | |
| 4 | Digital (33, 43, 1677870)-net over F128 | [i] | ||
| 5 | Digital (34, 44, 1685848)-net over F128 | [i] | ||
| 6 | Digital (36, 46, 1685977)-net over F128 | [i] | ||
| 7 | Digital (37, 47, 1694232)-net over F128 | [i] | ||
| 8 | Digital (38, 48, 1702105)-net over F128 | [i] | ||
| 9 | Digital (39, 49, 1710233)-net over F128 | [i] | ||
| 10 | Digital (40, 50, 2726297)-net over F128 | [i] | ||
| 11 | Digital (41, 51, 2726300)-net over F128 | [i] | ||
| 12 | Digital (42, 52, 2734616)-net over F128 | [i] | ||
| 13 | Digital (43, 53, 3355440)-net over F128 | [i] | ||
| 14 | Digital (46, 56, 3774874)-net over F128 | [i] | Generalized (u, u+v)-Construction for Nets | |
| 15 | Digital (47, 57, 3774880)-net over F128 | [i] | ||