Information on Result #599318
There is no digital (87, 243, 372)-net over F3, because extracting embedded orthogonal array would yield linear OA(3243, 372, F3, 156) (dual of [372, 129, 157]-code), but
- residual code [i] would yield linear OA(387, 215, F3, 52) (dual of [215, 128, 53]-code), but
- the Johnson bound shows that N ≤ 11 307865 685880 246142 774871 856086 316274 707673 744713 882597 679605 < 3128 [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 (87, 244, 372)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (87, 245, 372)-net over F3 | [i] | ||