Information on Result #599514
There is no digital (52, 200, 249)-net over F4, because extracting embedded orthogonal array would yield linear OA(4200, 249, F4, 148) (dual of [249, 49, 149]-code), but
- residual code [i] would yield OA(452, 100, S4, 37), but
- the linear programming bound shows that M ≥ 122286 562316 677400 710065 247950 699724 199256 311251 272039 790450 228019 543203 578727 206911 566962 340550 130811 972817 601855 688395 354953 747543 223204 680493 432832 / 5909 445624 660275 177735 061262 841863 583710 628534 785955 840883 780789 693140 214269 486067 169858 699936 055397 157033 616741 653933 > 452 [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 (52, 201, 249)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (52, 202, 249)-net over F4 | [i] | ||
| 3 | No digital (52, 203, 249)-net over F4 | [i] | ||