Information on Result #521092
There is no (12, 67, 36)-net in base 3, because extracting embedded OOA would yield OOA(367, 36, S3, 2, 55), but
- the LP bound with quadratic polynomials shows that M ≥ 5284 439399 430176 713888 429748 403459 / 56 > 367 [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 (12, 68, 36)-net in base 3 | [i] | m-Reduction | |
| 2 | No (12, 69, 36)-net in base 3 | [i] | ||
| 3 | No (12, 70, 36)-net in base 3 | [i] | ||
| 4 | No (12, 71, 36)-net in base 3 | [i] | ||
| 5 | No (12, 72, 36)-net in base 3 | [i] | ||
| 6 | No (12, 73, 36)-net in base 3 | [i] | ||
| 7 | No (12, 74, 36)-net in base 3 | [i] | ||
| 8 | No (12, 75, 36)-net in base 3 | [i] | ||
| 9 | No (12, 76, 36)-net in base 3 | [i] | ||
| 10 | No (12, 77, 36)-net in base 3 | [i] | ||
| 11 | No (12, 78, 36)-net in base 3 | [i] | ||
| 12 | No (12, 79, 36)-net in base 3 | [i] | ||
| 13 | No (12, 80, 36)-net in base 3 | [i] | ||
| 14 | No (12, 81, 36)-net in base 3 | [i] | ||
| 15 | No (12, 82, 36)-net in base 3 | [i] | ||
| 16 | No (12, 83, 36)-net in base 3 | [i] | ||
| 17 | No (12, 84, 36)-net in base 3 | [i] | ||
| 18 | No (12, 85, 36)-net in base 3 | [i] | ||
| 19 | No (12, 86, 36)-net in base 3 | [i] | ||
| 20 | No (12, 87, 36)-net in base 3 | [i] | ||
| 21 | No (12, 88, 36)-net in base 3 | [i] | ||
| 22 | No (12, 89, 36)-net in base 3 | [i] | ||
| 23 | No (12, 90, 36)-net in base 3 | [i] | ||
| 24 | No (12, 91, 36)-net in base 3 | [i] | ||
| 25 | No (12, 92, 36)-net in base 3 | [i] | ||
| 26 | No (12, 93, 36)-net in base 3 | [i] | ||
| 27 | No (12, 94, 36)-net in base 3 | [i] | ||
| 28 | No (12, 95, 36)-net in base 3 | [i] | ||
| 29 | No (12, 96, 36)-net in base 3 | [i] | ||