Information on Result #1189892
Digital (41, 49, 1441200)-net over F7, using net defined by OOA based on linear OOA(749, 1441200, F7, 8, 8) (dual of [(1441200, 8), 11529551, 9]-NRT-code), using
- OA 4-folding and stacking [i] based on linear OA(749, 5764800, F7, 8) (dual of [5764800, 5764751, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(749, 5764801, F7, 8) (dual of [5764801, 5764752, 9]-code), using
- an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 78−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- discarding factors / shortening the dual code based on linear OA(749, 5764801, F7, 8) (dual of [5764801, 5764752, 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 (45, 53, 1441208)-net over F7 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (46, 54, 1441213)-net over F7 | [i] | ||
| 3 | Digital (85, 93, 7686400)-net over F7 | [i] | Generalized (u, u+v)-Construction for Nets | |
| 4 | Digital (87, 95, large)-net over F7 | [i] | ||
| 5 | Digital (84, 92, 6725600)-net over F7 | [i] | ||
| 6 | Digital (86, 94, large)-net over F7 | [i] | ||