Information on Result #599582
There is no digital (60, 220, 320)-net over F4, because extracting embedded orthogonal array would yield linear OA(4220, 320, F4, 160) (dual of [320, 100, 161]-code), but
- residual code [i] would yield OA(460, 159, S4, 40), but
- the linear programming bound shows that M ≥ 89256 467878 907972 172600 180176 154060 802582 684769 875981 969312 131469 276806 223240 396340 011634 339610 624000 / 64975 225388 099566 116025 141010 137689 743517 140250 845468 320822 687201 > 460 [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 (60, 221, 320)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (60, 222, 320)-net over F4 | [i] | ||
| 3 | No digital (60, 223, 320)-net over F4 | [i] | ||