Information on Result #521131
There is no (16, 123, 43)-net in base 3, because extracting embedded OOA would yield OOA(3123, 43, S3, 3, 107), but
- the LP bound with quadratic polynomials shows that M ≥ 52113 298697 518505 101982 215055 778546 152212 793198 597682 085629 > 3123 [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 (16, 124, 43)-net in base 3 | [i] | m-Reduction | |
| 2 | No (16, 125, 43)-net in base 3 | [i] | ||
| 3 | No (16, 126, 43)-net in base 3 | [i] | ||
| 4 | No (16, 127, 43)-net in base 3 | [i] | ||
| 5 | No (16, 128, 43)-net in base 3 | [i] | ||
| 6 | No (16, 129, 43)-net in base 3 | [i] | ||
| 7 | No (16, 130, 43)-net in base 3 | [i] | ||
| 8 | No (16, 131, 43)-net in base 3 | [i] | ||
| 9 | No (16, 132, 43)-net in base 3 | [i] | ||
| 10 | No (16, 133, 43)-net in base 3 | [i] | ||
| 11 | No (16, 134, 43)-net in base 3 | [i] | ||
| 12 | No (16, 135, 43)-net in base 3 | [i] | ||
| 13 | No (16, 136, 43)-net in base 3 | [i] | ||
| 14 | No (16, 137, 43)-net in base 3 | [i] | ||
| 15 | No (16, 138, 43)-net in base 3 | [i] | ||
| 16 | No (16, 139, 43)-net in base 3 | [i] | ||
| 17 | No (16, 140, 43)-net in base 3 | [i] | ||
| 18 | No (16, 141, 43)-net in base 3 | [i] | ||
| 19 | No (16, 142, 43)-net in base 3 | [i] | ||
| 20 | No (16, 143, 43)-net in base 3 | [i] | ||
| 21 | No (16, 144, 43)-net in base 3 | [i] | ||
| 22 | No (16, 145, 43)-net in base 3 | [i] | ||
| 23 | No (16, 146, 43)-net in base 3 | [i] | ||
| 24 | No (16, 147, 43)-net in base 3 | [i] | ||
| 25 | No (16, 148, 43)-net in base 3 | [i] | ||
| 26 | No (16, 149, 43)-net in base 3 | [i] | ||
| 27 | No (16, 150, 43)-net in base 3 | [i] | ||
| 28 | No (16, 151, 43)-net in base 3 | [i] | ||
| 29 | No (16, 152, 43)-net in base 3 | [i] | ||
| 30 | No (16, 153, 43)-net in base 3 | [i] | ||
| 31 | No (16, 154, 43)-net in base 3 | [i] | ||
| 32 | No (16, 155, 43)-net in base 3 | [i] | ||
| 33 | No (16, 156, 43)-net in base 3 | [i] | ||
| 34 | No (16, 157, 43)-net in base 3 | [i] | ||
| 35 | No (16, 158, 43)-net in base 3 | [i] | ||
| 36 | No (16, 159, 43)-net in base 3 | [i] | ||
| 37 | No (16, 160, 43)-net in base 3 | [i] | ||
| 38 | No (16, 161, 43)-net in base 3 | [i] | ||
| 39 | No (16, 162, 43)-net in base 3 | [i] | ||