Information on Result #523441
There is no (15, 112, 123)-net in base 8, because extracting embedded orthogonal array would yield OA(8112, 123, S8, 97), but
- the linear programming bound shows that M ≥ 753 868551 422368 025102 923082 320311 329646 383118 594947 491827 868209 928105 237207 212534 973299 462746 351662 301987 209216 / 4898 364625 > 8112 [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 (15, 113, 123)-net in base 8 | [i] | m-Reduction | |
| 2 | No (15, 114, 123)-net in base 8 | [i] | ||
| 3 | No (15, 115, 123)-net in base 8 | [i] | ||
| 4 | No (15, 116, 123)-net in base 8 | [i] | ||
| 5 | No (15, 117, 123)-net in base 8 | [i] | ||
| 6 | No (15, 118, 123)-net in base 8 | [i] | ||
| 7 | No (15, 119, 123)-net in base 8 | [i] | ||
| 8 | No (15, 120, 123)-net in base 8 | [i] | ||
| 9 | No (15, 121, 123)-net in base 8 | [i] | ||
| 10 | No (15, 122, 123)-net in base 8 | [i] | ||
| 11 | No (15, 123, 123)-net in base 8 | [i] | ||
| 12 | No (15, 124, 123)-net in base 8 | [i] | ||
| 13 | No (15, 125, 123)-net in base 8 | [i] | ||
| 14 | No (15, 126, 123)-net in base 8 | [i] | ||
| 15 | No (15, 127, 123)-net in base 8 | [i] | ||
| 16 | No (15, 128, 123)-net in base 8 | [i] | ||
| 17 | No (15, 129, 123)-net in base 8 | [i] | ||
| 18 | No (15, 130, 123)-net in base 8 | [i] | ||
| 19 | No (15, 131, 123)-net in base 8 | [i] | ||
| 20 | No (15, 132, 123)-net in base 8 | [i] | ||
| 21 | No (15, 133, 123)-net in base 8 | [i] | ||
| 22 | No (15, 134, 123)-net in base 8 | [i] | ||
| 23 | No (15, 135, 123)-net in base 8 | [i] | ||
| 24 | No (15, 136, 123)-net in base 8 | [i] | ||
| 25 | No (15, 137, 123)-net in base 8 | [i] | ||
| 26 | No (15, 138, 123)-net in base 8 | [i] | ||
| 27 | No (15, 139, 123)-net in base 8 | [i] | ||
| 28 | No (15, 140, 123)-net in base 8 | [i] | ||
| 29 | No (15, 141, 123)-net in base 8 | [i] | ||
| 30 | No (15, 142, 123)-net in base 8 | [i] | ||
| 31 | No (15, 143, 123)-net in base 8 | [i] | ||
| 32 | No (15, 144, 123)-net in base 8 | [i] | ||
| 33 | No (15, 145, 123)-net in base 8 | [i] | ||
| 34 | No (15, 146, 123)-net in base 8 | [i] | ||
| 35 | No (15, 147, 123)-net in base 8 | [i] | ||
| 36 | No (15, 148, 123)-net in base 8 | [i] | ||
| 37 | No (15, 149, 123)-net in base 8 | [i] | ||
| 38 | No (15, 150, 123)-net in base 8 | [i] | ||
| 39 | No (15, 151, 123)-net in base 8 | [i] | ||
| 40 | No (15, 152, 123)-net in base 8 | [i] | ||
| 41 | No (15, 153, 123)-net in base 8 | [i] | ||
| 42 | No (15, 154, 123)-net in base 8 | [i] | ||
| 43 | No (15, 155, 123)-net in base 8 | [i] | ||
| 44 | No (15, 156, 123)-net in base 8 | [i] | ||
| 45 | No (15, 157, 123)-net in base 8 | [i] | ||
| 46 | No (15, 158, 123)-net in base 8 | [i] | ||
| 47 | No (15, 159, 123)-net in base 8 | [i] | ||
| 48 | No (15, 160, 123)-net in base 8 | [i] | ||
| 49 | No (15, 161, 123)-net in base 8 | [i] | ||
| 50 | No (15, 162, 123)-net in base 8 | [i] | ||
| 51 | No (15, 163, 123)-net in base 8 | [i] | ||
| 52 | No (15, 164, 123)-net in base 8 | [i] | ||
| 53 | No (15, 165, 123)-net in base 8 | [i] | ||
| 54 | No (15, 166, 123)-net in base 8 | [i] | ||
| 55 | No (15, 167, 123)-net in base 8 | [i] | ||
| 56 | No (15, 168, 123)-net in base 8 | [i] | ||
| 57 | No (15, 169, 123)-net in base 8 | [i] | ||
| 58 | No (15, 170, 123)-net in base 8 | [i] | ||
| 59 | No (15, 171, 123)-net in base 8 | [i] | ||
| 60 | No (15, 172, 123)-net in base 8 | [i] | ||
| 61 | No (15, 173, 123)-net in base 8 | [i] | ||
| 62 | No (15, m, 123)-net in base 8 for arbitrarily large m | [i] | m-Reduction from Arbitrarily Large Net | |