Information on Result #599588
There is no digital (60, 244, 251)-net over F4, because extracting embedded orthogonal array would yield linear OA(4244, 251, F4, 184) (dual of [251, 7, 185]-code), but
- residual code [i] would yield OA(460, 66, S4, 46), but
- the linear programming bound shows that M ≥ 340 282366 920938 463463 374607 431768 211456 / 235 > 460 [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 (60, 245, 251)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (60, 246, 251)-net over F4 | [i] | ||
| 3 | No digital (60, 247, 251)-net over F4 | [i] | ||
| 4 | No digital (60, 248, 251)-net over F4 | [i] | ||
| 5 | No digital (60, 249, 251)-net over F4 | [i] | ||
| 6 | No digital (60, 250, 251)-net over F4 | [i] | ||
| 7 | No digital (60, 251, 251)-net over F4 | [i] | ||
| 8 | No digital (60, 252, 251)-net over F4 | [i] | ||
| 9 | No digital (60, 253, 251)-net over F4 | [i] | ||
| 10 | No digital (60, 254, 251)-net over F4 | [i] | ||
| 11 | No digital (60, 255, 251)-net over F4 | [i] | ||
| 12 | No digital (60, 256, 251)-net over F4 | [i] | ||
| 13 | No digital (60, 257, 251)-net over F4 | [i] | ||
| 14 | No digital (60, 258, 251)-net over F4 | [i] | ||
| 15 | No digital (60, 259, 251)-net over F4 | [i] | ||
| 16 | No digital (60, 260, 251)-net over F4 | [i] | ||