Information on Result #599855
There is no digital (24, 168, 299)-net over F8, because extracting embedded orthogonal array would yield linear OA(8168, 299, F8, 144) (dual of [299, 131, 145]-code), but
- residual code [i] would yield OA(824, 154, S8, 18), but
- the linear programming bound shows that M ≥ 1463 606729 993253 457700 255083 689454 600192 / 305843 519426 437217 > 824 [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 (24, 169, 299)-net over F8 | [i] | m-Reduction | |
| 2 | No digital (24, 170, 299)-net over F8 | [i] | ||
| 3 | No digital (24, 171, 299)-net over F8 | [i] | ||
| 4 | No digital (24, 172, 299)-net over F8 | [i] | ||
| 5 | No digital (24, 173, 299)-net over F8 | [i] | ||