Information on Result #599481
There is no digital (47, 179, 237)-net over F4, because extracting embedded orthogonal array would yield linear OA(4179, 237, F4, 132) (dual of [237, 58, 133]-code), but
- residual code [i] would yield OA(447, 104, S4, 33), but
- the linear programming bound shows that M ≥ 1174 046639 191630 223681 185273 503735 047219 518200 396804 079380 889257 898555 970298 959666 030187 642880 / 54879 229485 183725 296974 155563 481145 282045 055361 543282 990010 805653 > 447 [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 (47, 180, 237)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (47, 181, 237)-net over F4 | [i] | ||
| 3 | No digital (47, 182, 237)-net over F4 | [i] | ||