Information on Result #523317
There is no (9, 159, 81)-net in base 8, because extracting embedded OOA would yield OOA(8159, 81, S8, 2, 150), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 78 043713 757899 805784 539930 744829 157643 714953 566624 278771 478923 990634 293470 494140 503007 652576 587299 278995 673278 035165 572386 199391 982207 132657 254400 / 151 > 8159 [i]
Mode: Bound.
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 (9, 160, 81)-net in base 8 | [i] | m-Reduction | |
| 2 | No (9, 161, 81)-net in base 8 | [i] | ||
| 3 | No (9, 162, 81)-net in base 8 | [i] | ||
| 4 | No (9, 163, 81)-net in base 8 | [i] | ||
| 5 | No (9, 164, 81)-net in base 8 | [i] | ||
| 6 | No (9, 165, 81)-net in base 8 | [i] | ||
| 7 | No (9, 166, 81)-net in base 8 | [i] | ||
| 8 | No (9, 167, 81)-net in base 8 | [i] | ||
| 9 | No (9, 168, 81)-net in base 8 | [i] | ||
| 10 | No (9, 169, 81)-net in base 8 | [i] | ||
| 11 | No (9, 170, 81)-net in base 8 | [i] | ||
| 12 | No (9, 171, 81)-net in base 8 | [i] | ||
| 13 | No (9, 172, 81)-net in base 8 | [i] | ||
| 14 | No (9, 173, 81)-net in base 8 | [i] | ||
| 15 | No (9, m, 81)-net in base 8 for arbitrarily large m | [i] | m-Reduction from Arbitrarily Large Net | |