Information on Result #523396
There is no (12, 90, 103)-net in base 8, because extracting embedded orthogonal array would yield OA(890, 103, S8, 78), but
- the linear programming bound shows that M ≥ 1021 576153 078735 923643 496828 494105 918576 721926 818258 715769 540997 787100 910918 672673 951195 332608 / 431023 326525 > 890 [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, 91, 103)-net in base 8 | [i] | m-Reduction | |
| 2 | No (12, 92, 103)-net in base 8 | [i] | ||
| 3 | No (12, 93, 103)-net in base 8 | [i] | ||
| 4 | No (12, 94, 103)-net in base 8 | [i] | ||
| 5 | No (12, 95, 103)-net in base 8 | [i] | ||
| 6 | No (12, 96, 103)-net in base 8 | [i] | ||
| 7 | No (12, 97, 103)-net in base 8 | [i] | ||
| 8 | No (12, 98, 103)-net in base 8 | [i] | ||
| 9 | No (12, 99, 103)-net in base 8 | [i] | ||
| 10 | No (12, 100, 103)-net in base 8 | [i] | ||
| 11 | No (12, 101, 103)-net in base 8 | [i] | ||
| 12 | No (12, 102, 103)-net in base 8 | [i] | ||
| 13 | No (12, 103, 103)-net in base 8 | [i] | ||
| 14 | No (12, 104, 103)-net in base 8 | [i] | ||
| 15 | No (12, 105, 103)-net in base 8 | [i] | ||
| 16 | No (12, 106, 103)-net in base 8 | [i] | ||
| 17 | No (12, 107, 103)-net in base 8 | [i] | ||
| 18 | No (12, 108, 103)-net in base 8 | [i] | ||
| 19 | No (12, 109, 103)-net in base 8 | [i] | ||
| 20 | No (12, 110, 103)-net in base 8 | [i] | ||
| 21 | No (12, 111, 103)-net in base 8 | [i] | ||
| 22 | No (12, 112, 103)-net in base 8 | [i] | ||
| 23 | No (12, 113, 103)-net in base 8 | [i] | ||
| 24 | No (12, 114, 103)-net in base 8 | [i] | ||
| 25 | No (12, 115, 103)-net in base 8 | [i] | ||
| 26 | No (12, 116, 103)-net in base 8 | [i] | ||
| 27 | No (12, 117, 103)-net in base 8 | [i] | ||
| 28 | No (12, 118, 103)-net in base 8 | [i] | ||
| 29 | No (12, 119, 103)-net in base 8 | [i] | ||
| 30 | No (12, 120, 103)-net in base 8 | [i] | ||
| 31 | No (12, 121, 103)-net in base 8 | [i] | ||
| 32 | No (12, 122, 103)-net in base 8 | [i] | ||
| 33 | No (12, 123, 103)-net in base 8 | [i] | ||
| 34 | No (12, 124, 103)-net in base 8 | [i] | ||
| 35 | No (12, 125, 103)-net in base 8 | [i] | ||
| 36 | No (12, 126, 103)-net in base 8 | [i] | ||
| 37 | No (12, 127, 103)-net in base 8 | [i] | ||
| 38 | No (12, 128, 103)-net in base 8 | [i] | ||
| 39 | No (12, 129, 103)-net in base 8 | [i] | ||
| 40 | No (12, 130, 103)-net in base 8 | [i] | ||
| 41 | No (12, 131, 103)-net in base 8 | [i] | ||
| 42 | No (12, 132, 103)-net in base 8 | [i] | ||
| 43 | No (12, 133, 103)-net in base 8 | [i] | ||
| 44 | No (12, 134, 103)-net in base 8 | [i] | ||
| 45 | No (12, 135, 103)-net in base 8 | [i] | ||
| 46 | No (12, 136, 103)-net in base 8 | [i] | ||
| 47 | No (12, 137, 103)-net in base 8 | [i] | ||
| 48 | No (12, 138, 103)-net in base 8 | [i] | ||
| 49 | No (12, 139, 103)-net in base 8 | [i] | ||
| 50 | No (12, 140, 103)-net in base 8 | [i] | ||
| 51 | No (12, 141, 103)-net in base 8 | [i] | ||
| 52 | No (12, 142, 103)-net in base 8 | [i] | ||
| 53 | No (12, 143, 103)-net in base 8 | [i] | ||
| 54 | No (12, 144, 103)-net in base 8 | [i] | ||
| 55 | No (12, 145, 103)-net in base 8 | [i] | ||
| 56 | No (12, 146, 103)-net in base 8 | [i] | ||
| 57 | No (12, 147, 103)-net in base 8 | [i] | ||
| 58 | No (12, 148, 103)-net in base 8 | [i] | ||
| 59 | No (12, 149, 103)-net in base 8 | [i] | ||
| 60 | No (12, 150, 103)-net in base 8 | [i] | ||
| 61 | No (12, 151, 103)-net in base 8 | [i] | ||
| 62 | No (12, 152, 103)-net in base 8 | [i] | ||
| 63 | No (12, 153, 103)-net in base 8 | [i] | ||
| 64 | No (12, 154, 103)-net in base 8 | [i] | ||
| 65 | No (12, 155, 103)-net in base 8 | [i] | ||
| 66 | No (12, 156, 103)-net in base 8 | [i] | ||
| 67 | No (12, 157, 103)-net in base 8 | [i] | ||
| 68 | No (12, 158, 103)-net in base 8 | [i] | ||
| 69 | No (12, 159, 103)-net in base 8 | [i] | ||
| 70 | No (12, 160, 103)-net in base 8 | [i] | ||
| 71 | No (12, 161, 103)-net in base 8 | [i] | ||
| 72 | No (12, 162, 103)-net in base 8 | [i] | ||
| 73 | No (12, 163, 103)-net in base 8 | [i] | ||
| 74 | No (12, 164, 103)-net in base 8 | [i] | ||
| 75 | No (12, 165, 103)-net in base 8 | [i] | ||
| 76 | No (12, 166, 103)-net in base 8 | [i] | ||
| 77 | No (12, 167, 103)-net in base 8 | [i] | ||
| 78 | No (12, 168, 103)-net in base 8 | [i] | ||
| 79 | No (12, 169, 103)-net in base 8 | [i] | ||
| 80 | No (12, 170, 103)-net in base 8 | [i] | ||
| 81 | No (12, 171, 103)-net in base 8 | [i] | ||
| 82 | No (12, 172, 103)-net in base 8 | [i] | ||
| 83 | No (12, 173, 103)-net in base 8 | [i] | ||
| 84 | No (12, m, 103)-net in base 8 for arbitrarily large m | [i] | m-Reduction from Arbitrarily Large Net | |