Information on Result #599493
There is no digital (49, 181, 265)-net over F4, because extracting embedded orthogonal array would yield linear OA(4181, 265, F4, 132) (dual of [265, 84, 133]-code), but
- residual code [i] would yield OA(449, 132, S4, 33), but
- the linear programming bound shows that M ≥ 15 114989 228406 347488 033746 516185 463747 303837 999665 881936 924009 037824 000000 / 45 404812 302889 192810 925950 053918 027049 414939 > 449 [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 (49, 182, 265)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (49, 183, 265)-net over F4 | [i] | ||
| 3 | No digital (49, 184, 265)-net over F4 | [i] | ||