Information on Result #599592
There is no digital (61, 221, 336)-net over F4, because extracting embedded orthogonal array would yield linear OA(4221, 336, F4, 160) (dual of [336, 115, 161]-code), but
- residual code [i] would yield OA(461, 175, S4, 40), but
- the linear programming bound shows that M ≥ 1 798315 977868 370852 713534 848248 812726 194497 404051 298068 679657 800761 225918 150102 236050 489344 / 313133 764813 349339 900431 732581 184165 925845 010666 409433 > 461 [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 (61, 222, 336)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (61, 223, 336)-net over F4 | [i] | ||
| 3 | No digital (61, 224, 336)-net over F4 | [i] | ||