Information on Result #599250
There is no digital (78, 240, 245)-net over F3, because extracting embedded orthogonal array would yield linear OA(3240, 245, F3, 162) (dual of [245, 5, 163]-code), but
- 1 times code embedding in larger space [i] would yield linear OA(3241, 246, F3, 162) (dual of [246, 5, 163]-code), but
Mode: Bound (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 | No digital (78, 241, 245)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (78, 242, 245)-net over F3 | [i] | ||
| 3 | No digital (78, 243, 245)-net over F3 | [i] | ||
| 4 | No digital (78, 244, 245)-net over F3 | [i] | ||
| 5 | No digital (78, 245, 245)-net over F3 | [i] | ||
| 6 | No digital (78, 246, 245)-net over F3 | [i] | ||
| 7 | No digital (78, 247, 245)-net over F3 | [i] | ||
| 8 | No digital (78, 248, 245)-net over F3 | [i] | ||
| 9 | No digital (78, 249, 245)-net over F3 | [i] | ||
| 10 | No digital (78, 250, 245)-net over F3 | [i] | ||