Information on Result #599488
There is no digital (48, 180, 251)-net over F4, because extracting embedded orthogonal array would yield linear OA(4180, 251, F4, 132) (dual of [251, 71, 133]-code), but
- residual code [i] would yield OA(448, 118, S4, 33), but
- the linear programming bound shows that M ≥ 11741 391231 673162 520784 823169 575929 136281 422846 471752 288804 624247 186167 273881 600000 / 141904 351037 772816 847773 975434 784371 947508 137187 747933 > 448 [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 (48, 181, 251)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (48, 182, 251)-net over F4 | [i] | ||
| 3 | No digital (48, 183, 251)-net over F4 | [i] | ||