Information on Result #599688
There is no digital (73, 253, 449)-net over F4, because extracting embedded orthogonal array would yield linear OA(4253, 449, F4, 180) (dual of [449, 196, 181]-code), but
- residual code [i] would yield OA(473, 268, S4, 45), but
- the linear programming bound shows that M ≥ 472 872631 524693 616571 263304 632879 333287 600071 846650 492027 623804 614698 703694 083741 742382 499726 622720 / 5 268581 092830 135391 831262 242618 253418 847780 919324 019929 > 473 [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 (73, 254, 449)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (73, 255, 449)-net over F4 | [i] | ||
| 3 | No digital (73, 256, 449)-net over F4 | [i] | ||