Information on Result #599266
There is no digital (80, 227, 281)-net over F3, because extracting embedded orthogonal array would yield linear OA(3227, 281, F3, 147) (dual of [281, 54, 148]-code), but
- residual code [i] would yield OA(380, 133, S3, 49), but
- the linear programming bound shows that M ≥ 21223 654940 747716 870153 549604 409912 091138 635334 644884 306688 767122 427377 344322 374868 328420 535820 061178 192292 178417 467677 / 142 600278 894934 337416 159250 039930 631375 413133 442674 819708 793351 208507 551154 176000 > 380 [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 (80, 228, 281)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (80, 229, 281)-net over F3 | [i] | ||