Information on Result #599653
There is no digital (67, 243, 362)-net over F4, because extracting embedded orthogonal array would yield linear OA(4243, 362, F4, 176) (dual of [362, 119, 177]-code), but
- residual code [i] would yield OA(467, 185, S4, 44), but
- the linear programming bound shows that M ≥ 27 922736 614479 963563 498030 039555 280180 497392 114764 937434 686895 163379 799248 329552 391127 539087 989670 936576 / 1212 198916 755108 948361 633672 026124 789528 916769 954260 490443 945723 > 467 [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 (67, 244, 362)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (67, 245, 362)-net over F4 | [i] | ||
| 3 | No digital (67, 246, 362)-net over F4 | [i] | ||