Information on Result #599659
There is no digital (68, 236, 415)-net over F4, because extracting embedded orthogonal array would yield linear OA(4236, 415, F4, 168) (dual of [415, 179, 169]-code), but
- residual code [i] would yield OA(468, 246, S4, 42), but
- the linear programming bound shows that M ≥ 8 266893 710032 655425 717892 686988 538675 685493 888138 140590 751265 026314 680838 406117 785600 000000 / 94 513486 949920 285641 128495 398550 971508 431933 193771 > 468 [i]
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 (68, 237, 415)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (68, 238, 415)-net over F4 | [i] | ||
| 3 | No digital (68, 239, 415)-net over F4 | [i] | ||