Information on Result #521067
There is no (9, 53, 29)-net in base 3, because extracting embedded OOA would yield OOA(353, 29, S3, 2, 44), but
- the LP bound with quadratic polynomials shows that M ≥ 109 838392 116853 446081 848097 / 5 > 353 [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, 54, 29)-net in base 3 | [i] | m-Reduction | |
| 2 | No (9, 55, 29)-net in base 3 | [i] | ||
| 3 | No (9, 56, 29)-net in base 3 | [i] | ||
| 4 | No (9, 57, 29)-net in base 3 | [i] | ||
| 5 | No (9, 58, 29)-net in base 3 | [i] | ||
| 6 | No (9, 59, 29)-net in base 3 | [i] | ||
| 7 | No (9, 60, 29)-net in base 3 | [i] | ||
| 8 | No (9, 61, 29)-net in base 3 | [i] | ||
| 9 | No (9, 62, 29)-net in base 3 | [i] | ||
| 10 | No (9, 63, 29)-net in base 3 | [i] | ||
| 11 | No (9, 64, 29)-net in base 3 | [i] | ||
| 12 | No (9, 65, 29)-net in base 3 | [i] | ||
| 13 | No (9, 66, 29)-net in base 3 | [i] | ||
| 14 | No (9, 67, 29)-net in base 3 | [i] | ||
| 15 | No (9, 68, 29)-net in base 3 | [i] | ||
| 16 | No (9, 69, 29)-net in base 3 | [i] | ||
| 17 | No (9, 70, 29)-net in base 3 | [i] | ||
| 18 | No (9, 71, 29)-net in base 3 | [i] | ||
| 19 | No (9, 72, 29)-net in base 3 | [i] | ||
| 20 | No (9, 73, 29)-net in base 3 | [i] | ||
| 21 | No (9, 74, 29)-net in base 3 | [i] | ||
| 22 | No (9, 75, 29)-net in base 3 | [i] | ||
| 23 | No (9, 76, 29)-net in base 3 | [i] | ||