Information on Result #599309
There is no digital (85, 247, 274)-net over F3, because extracting embedded orthogonal array would yield linear OA(3247, 274, F3, 162) (dual of [274, 27, 163]-code), but
- residual code [i] would yield OA(385, 111, S3, 54), but
- the linear programming bound shows that M ≥ 171 512814 450641 798610 864431 673363 023574 527618 893419 348639 / 4028 884726 616750 > 385 [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 (85, 248, 274)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (85, 249, 274)-net over F3 | [i] | ||