Information on Result #599601
There is no digital (62, 222, 352)-net over F4, because extracting embedded orthogonal array would yield linear OA(4222, 352, F4, 160) (dual of [352, 130, 161]-code), but
- residual code [i] would yield OA(462, 191, S4, 40), but
- the linear programming bound shows that M ≥ 6 721352 642212 013290 164202 930663 188729 706683 395933 433874 909615 380474 388774 465686 228242 006016 / 300843 081103 152389 559805 379819 997539 174337 778277 134589 > 462 [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 (62, 223, 352)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (62, 224, 352)-net over F4 | [i] | ||
| 3 | No digital (62, 225, 352)-net over F4 | [i] | ||