Information on Result #599683
There is no digital (72, 248, 447)-net over F4, because extracting embedded orthogonal array would yield linear OA(4248, 447, F4, 176) (dual of [447, 199, 177]-code), but
- residual code [i] would yield OA(472, 270, S4, 44), but
- the linear programming bound shows that M ≥ 786435 471178 717771 595724 051341 292858 017461 789380 078325 091944 259711 116987 003218 742476 800000 000000 / 34141 957272 513139 588342 951169 793634 345796 839121 212019 > 472 [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 (72, 249, 447)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (72, 250, 447)-net over F4 | [i] | ||
| 3 | No digital (72, 251, 447)-net over F4 | [i] | ||