Information on Result #1789713
Digital (36, 42, large)-net over F7, using embedding of OOA with Gilbert–VarÅ¡amov bound based on linear OA(742, large, F7, 6) (dual of [large, large−42, 7]-code), using
- trace code [i] based on linear OA(4921, 5764801, F49, 6) (dual of [5764801, 5764780, 7]-code), using
- an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 494−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
Mode: Linear.
Optimality
Show details for fixed k and m, k and t, m and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (37, 42, large)-net over F7 | [i] | t-Expansion | |
| 2 | Digital (37, 43, large)-net over F7 | [i] | Net Duplication | |
| 3 | Digital (38, 44, large)-net over F7 | [i] | ||
| 4 | Digital (39, 45, large)-net over F7 | [i] | ||
| 5 | Digital (40, 46, large)-net over F7 | [i] | ||
| 6 | Digital (41, 47, large)-net over F7 | [i] | ||
| 7 | Digital (42, 48, large)-net over F7 | [i] | ||
| 8 | Digital (36, 41, large)-net over F7 | [i] | m-Reduction | |