Information on Result #599519
There is no digital (53, 197, 279)-net over F4, because extracting embedded orthogonal array would yield linear OA(4197, 279, F4, 144) (dual of [279, 82, 145]-code), but
- residual code [i] would yield OA(453, 134, S4, 36), but
- the linear programming bound shows that M ≥ 13977 135218 163528 704731 898937 416611 213183 957686 665072 733824 249885 272036 744364 032000 / 160 460837 511194 840278 088549 800082 466977 532904 587207 > 453 [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 (53, 198, 279)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (53, 199, 279)-net over F4 | [i] | ||
| 3 | No digital (53, 200, 279)-net over F4 | [i] | ||