Information on Result #599647
There is no digital (66, 254, 296)-net over F4, because extracting embedded orthogonal array would yield linear OA(4254, 296, F4, 188) (dual of [296, 42, 189]-code), but
- residual code [i] would yield OA(466, 107, S4, 47), but
- the linear programming bound shows that M ≥ 877667 617526 699604 115459 206661 960900 469804 406919 637481 696619 379668 118193 820628 156416 / 152 206215 688292 487856 759376 046017 491747 653675 > 466 [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 (66, 255, 296)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (66, 256, 296)-net over F4 | [i] | ||
| 3 | No digital (66, 257, 296)-net over F4 | [i] | ||