Information on Result #523415
There is no (13, 97, 110)-net in base 8, because extracting embedded orthogonal array would yield OA(897, 110, S8, 84), but
- the linear programming bound shows that M ≥ 87 442260 579156 872329 556537 484049 482232 625246 743955 766998 590856 788306 377700 670838 673713 994659 790848 / 17229 021875 > 897 [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 (13, 98, 110)-net in base 8 | [i] | m-Reduction | |
| 2 | No (13, 99, 110)-net in base 8 | [i] | ||
| 3 | No (13, 100, 110)-net in base 8 | [i] | ||
| 4 | No (13, 101, 110)-net in base 8 | [i] | ||
| 5 | No (13, 102, 110)-net in base 8 | [i] | ||
| 6 | No (13, 103, 110)-net in base 8 | [i] | ||
| 7 | No (13, 104, 110)-net in base 8 | [i] | ||
| 8 | No (13, 105, 110)-net in base 8 | [i] | ||
| 9 | No (13, 106, 110)-net in base 8 | [i] | ||
| 10 | No (13, 107, 110)-net in base 8 | [i] | ||
| 11 | No (13, 108, 110)-net in base 8 | [i] | ||
| 12 | No (13, 109, 110)-net in base 8 | [i] | ||
| 13 | No (13, 110, 110)-net in base 8 | [i] | ||
| 14 | No (13, 111, 110)-net in base 8 | [i] | ||
| 15 | No (13, 112, 110)-net in base 8 | [i] | ||
| 16 | No (13, 113, 110)-net in base 8 | [i] | ||
| 17 | No (13, 114, 110)-net in base 8 | [i] | ||
| 18 | No (13, 115, 110)-net in base 8 | [i] | ||
| 19 | No (13, 116, 110)-net in base 8 | [i] | ||
| 20 | No (13, 117, 110)-net in base 8 | [i] | ||
| 21 | No (13, 118, 110)-net in base 8 | [i] | ||
| 22 | No (13, 119, 110)-net in base 8 | [i] | ||
| 23 | No (13, 120, 110)-net in base 8 | [i] | ||
| 24 | No (13, 121, 110)-net in base 8 | [i] | ||
| 25 | No (13, 122, 110)-net in base 8 | [i] | ||
| 26 | No (13, 123, 110)-net in base 8 | [i] | ||
| 27 | No (13, 124, 110)-net in base 8 | [i] | ||
| 28 | No (13, 125, 110)-net in base 8 | [i] | ||
| 29 | No (13, 126, 110)-net in base 8 | [i] | ||
| 30 | No (13, 127, 110)-net in base 8 | [i] | ||
| 31 | No (13, 128, 110)-net in base 8 | [i] | ||
| 32 | No (13, 129, 110)-net in base 8 | [i] | ||
| 33 | No (13, 130, 110)-net in base 8 | [i] | ||
| 34 | No (13, 131, 110)-net in base 8 | [i] | ||
| 35 | No (13, 132, 110)-net in base 8 | [i] | ||
| 36 | No (13, 133, 110)-net in base 8 | [i] | ||
| 37 | No (13, 134, 110)-net in base 8 | [i] | ||
| 38 | No (13, 135, 110)-net in base 8 | [i] | ||
| 39 | No (13, 136, 110)-net in base 8 | [i] | ||
| 40 | No (13, 137, 110)-net in base 8 | [i] | ||
| 41 | No (13, 138, 110)-net in base 8 | [i] | ||
| 42 | No (13, 139, 110)-net in base 8 | [i] | ||
| 43 | No (13, 140, 110)-net in base 8 | [i] | ||
| 44 | No (13, 141, 110)-net in base 8 | [i] | ||
| 45 | No (13, 142, 110)-net in base 8 | [i] | ||
| 46 | No (13, 143, 110)-net in base 8 | [i] | ||
| 47 | No (13, 144, 110)-net in base 8 | [i] | ||
| 48 | No (13, 145, 110)-net in base 8 | [i] | ||
| 49 | No (13, 146, 110)-net in base 8 | [i] | ||
| 50 | No (13, 147, 110)-net in base 8 | [i] | ||
| 51 | No (13, 148, 110)-net in base 8 | [i] | ||
| 52 | No (13, 149, 110)-net in base 8 | [i] | ||
| 53 | No (13, 150, 110)-net in base 8 | [i] | ||
| 54 | No (13, 151, 110)-net in base 8 | [i] | ||
| 55 | No (13, 152, 110)-net in base 8 | [i] | ||
| 56 | No (13, 153, 110)-net in base 8 | [i] | ||
| 57 | No (13, 154, 110)-net in base 8 | [i] | ||
| 58 | No (13, 155, 110)-net in base 8 | [i] | ||
| 59 | No (13, 156, 110)-net in base 8 | [i] | ||
| 60 | No (13, 157, 110)-net in base 8 | [i] | ||
| 61 | No (13, 158, 110)-net in base 8 | [i] | ||
| 62 | No (13, 159, 110)-net in base 8 | [i] | ||
| 63 | No (13, 160, 110)-net in base 8 | [i] | ||
| 64 | No (13, 161, 110)-net in base 8 | [i] | ||
| 65 | No (13, 162, 110)-net in base 8 | [i] | ||
| 66 | No (13, 163, 110)-net in base 8 | [i] | ||
| 67 | No (13, 164, 110)-net in base 8 | [i] | ||
| 68 | No (13, 165, 110)-net in base 8 | [i] | ||
| 69 | No (13, 166, 110)-net in base 8 | [i] | ||
| 70 | No (13, 167, 110)-net in base 8 | [i] | ||
| 71 | No (13, 168, 110)-net in base 8 | [i] | ||
| 72 | No (13, 169, 110)-net in base 8 | [i] | ||
| 73 | No (13, 170, 110)-net in base 8 | [i] | ||
| 74 | No (13, 171, 110)-net in base 8 | [i] | ||
| 75 | No (13, 172, 110)-net in base 8 | [i] | ||
| 76 | No (13, 173, 110)-net in base 8 | [i] | ||
| 77 | No (13, m, 110)-net in base 8 for arbitrarily large m | [i] | m-Reduction from Arbitrarily Large Net | |