Information on Result #1790870
Digital (78, 90, large)-net over F7, using embedding of OOA with Gilbert–VarÅ¡amov bound based on linear OA(790, large, F7, 12) (dual of [large, large−90, 13]-code), using
- trace code [i] based on linear OA(4945, 5764801, F49, 12) (dual of [5764801, 5764756, 13]-code), using
- an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 494−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [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 (79, 90, large)-net over F7 | [i] | t-Expansion | |
| 2 | Digital (80, 90, large)-net over F7 | [i] | ||
| 3 | Digital (81, 90, large)-net over F7 | [i] | ||
| 4 | Digital (82, 90, large)-net over F7 | [i] | ||
| 5 | Digital (79, 91, large)-net over F7 | [i] | Net Duplication | |
| 6 | Digital (80, 92, large)-net over F7 | [i] | ||
| 7 | Digital (81, 93, large)-net over F7 | [i] | ||
| 8 | Digital (82, 94, large)-net over F7 | [i] | ||
| 9 | Digital (83, 95, large)-net over F7 | [i] | ||
| 10 | Digital (84, 96, large)-net over F7 | [i] | ||
| 11 | Digital (78, 89, large)-net over F7 | [i] | m-Reduction | |
| 12 | Digital (78, 88, large)-net over F7 | [i] | ||
| 13 | Digital (78, 87, large)-net over F7 | [i] | ||
| 14 | Digital (78, 86, large)-net over F7 | [i] | ||