Information on Result #599527
There is no digital (54, 210, 245)-net over F4, because extracting embedded orthogonal array would yield linear OA(4210, 245, F4, 156) (dual of [245, 35, 157]-code), but
- residual code [i] would yield OA(454, 88, S4, 39), but
- the linear programming bound shows that M ≥ 388 306151 532706 712327 958115 613049 308256 005391 927015 697876 516864 / 1 038662 238351 660386 161900 190625 > 454 [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 (54, 211, 245)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (54, 212, 245)-net over F4 | [i] | ||
| 3 | No digital (54, 213, 245)-net over F4 | [i] | ||