Information on Result #599618
There is no digital (63, 251, 264)-net over F4, because extracting embedded orthogonal array would yield linear OA(4251, 264, F4, 188) (dual of [264, 13, 189]-code), but
- residual code [i] would yield OA(463, 75, S4, 47), but
- the linear programming bound shows that M ≥ 108 051901 662607 115934 306119 345453 950792 892416 / 1 213839 > 463 [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 (63, 252, 264)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (63, 253, 264)-net over F4 | [i] | ||
| 3 | No digital (63, 254, 264)-net over F4 | [i] | ||