Information on Result #599654
There is no digital (67, 247, 346)-net over F4, because extracting embedded orthogonal array would yield linear OA(4247, 346, F4, 180) (dual of [346, 99, 181]-code), but
- residual code [i] would yield OA(467, 165, S4, 45), but
- the linear programming bound shows that M ≥ 20699 363194 875685 646876 418367 204535 739040 572858 578915 564075 720939 347504 204480 515182 643491 673405 319238 146623 194291 154149 560162 674592 972800 / 923774 886925 816898 766657 500544 462579 832080 182768 042463 529757 381333 868390 078991 844533 113172 156937 > 467 [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 (67, 248, 346)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (67, 249, 346)-net over F4 | [i] | ||
| 3 | No digital (67, 250, 346)-net over F4 | [i] | ||