Information on Result #599323
There is no digital (88, 247, 376)-net over F3, because extracting embedded orthogonal array would yield linear OA(3247, 376, F3, 159) (dual of [376, 129, 160]-code), but
- residual code [i] would yield linear OA(388, 216, F3, 53) (dual of [216, 128, 54]-code), but
- 1 times truncation [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]
- 1 times truncation [i] would yield linear OA(387, 215, F3, 52) (dual of [215, 128, 53]-code), but
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 (88, 248, 376)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (88, 249, 376)-net over F3 | [i] | ||