Information on Result #599138
There is no digital (64, 172, 284)-net over F3, because extracting embedded orthogonal array would yield linear OA(3172, 284, F3, 108) (dual of [284, 112, 109]-code), but
- residual code [i] would yield OA(364, 175, S3, 36), but
- the linear programming bound shows that M ≥ 9416 034006 705562 294899 288842 534501 672943 849055 374790 819656 686449 203066 047883 / 2617 392919 548435 684112 676035 405385 302688 663969 > 364 [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 (64, 173, 284)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (64, 174, 284)-net over F3 | [i] | ||