Information on Result #523373
There is no (11, 83, 96)-net in base 8, because extracting embedded orthogonal array would yield OA(883, 96, S8, 72), but
- the linear programming bound shows that M ≥ 601 433997 364031 044137 528178 931541 095128 705181 131547 903349 738124 067793 054941 183723 175936 / 593517 142933 > 883 [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 (11, 84, 96)-net in base 8 | [i] | m-Reduction | |
| 2 | No (11, 85, 96)-net in base 8 | [i] | ||
| 3 | No (11, 86, 96)-net in base 8 | [i] | ||
| 4 | No (11, 87, 96)-net in base 8 | [i] | ||
| 5 | No (11, 88, 96)-net in base 8 | [i] | ||
| 6 | No (11, 89, 96)-net in base 8 | [i] | ||
| 7 | No (11, 90, 96)-net in base 8 | [i] | ||
| 8 | No (11, 91, 96)-net in base 8 | [i] | ||
| 9 | No (11, 92, 96)-net in base 8 | [i] | ||
| 10 | No (11, 93, 96)-net in base 8 | [i] | ||
| 11 | No (11, 94, 96)-net in base 8 | [i] | ||
| 12 | No (11, 95, 96)-net in base 8 | [i] | ||
| 13 | No (11, 96, 96)-net in base 8 | [i] | ||
| 14 | No (11, 97, 96)-net in base 8 | [i] | ||
| 15 | No (11, 98, 96)-net in base 8 | [i] | ||
| 16 | No (11, 99, 96)-net in base 8 | [i] | ||
| 17 | No (11, 100, 96)-net in base 8 | [i] | ||
| 18 | No (11, 101, 96)-net in base 8 | [i] | ||
| 19 | No (11, 102, 96)-net in base 8 | [i] | ||
| 20 | No (11, 103, 96)-net in base 8 | [i] | ||
| 21 | No (11, 104, 96)-net in base 8 | [i] | ||
| 22 | No (11, 105, 96)-net in base 8 | [i] | ||
| 23 | No (11, 106, 96)-net in base 8 | [i] | ||
| 24 | No (11, 107, 96)-net in base 8 | [i] | ||
| 25 | No (11, 108, 96)-net in base 8 | [i] | ||
| 26 | No (11, 109, 96)-net in base 8 | [i] | ||
| 27 | No (11, 110, 96)-net in base 8 | [i] | ||
| 28 | No (11, 111, 96)-net in base 8 | [i] | ||
| 29 | No (11, 112, 96)-net in base 8 | [i] | ||
| 30 | No (11, 113, 96)-net in base 8 | [i] | ||
| 31 | No (11, 114, 96)-net in base 8 | [i] | ||
| 32 | No (11, 115, 96)-net in base 8 | [i] | ||
| 33 | No (11, 116, 96)-net in base 8 | [i] | ||
| 34 | No (11, 117, 96)-net in base 8 | [i] | ||
| 35 | No (11, 118, 96)-net in base 8 | [i] | ||
| 36 | No (11, 119, 96)-net in base 8 | [i] | ||
| 37 | No (11, 120, 96)-net in base 8 | [i] | ||
| 38 | No (11, 121, 96)-net in base 8 | [i] | ||
| 39 | No (11, 122, 96)-net in base 8 | [i] | ||
| 40 | No (11, 123, 96)-net in base 8 | [i] | ||
| 41 | No (11, 124, 96)-net in base 8 | [i] | ||
| 42 | No (11, 125, 96)-net in base 8 | [i] | ||
| 43 | No (11, 126, 96)-net in base 8 | [i] | ||
| 44 | No (11, 127, 96)-net in base 8 | [i] | ||
| 45 | No (11, 128, 96)-net in base 8 | [i] | ||
| 46 | No (11, 129, 96)-net in base 8 | [i] | ||
| 47 | No (11, 130, 96)-net in base 8 | [i] | ||
| 48 | No (11, 131, 96)-net in base 8 | [i] | ||
| 49 | No (11, 132, 96)-net in base 8 | [i] | ||
| 50 | No (11, 133, 96)-net in base 8 | [i] | ||
| 51 | No (11, 134, 96)-net in base 8 | [i] | ||
| 52 | No (11, 135, 96)-net in base 8 | [i] | ||
| 53 | No (11, 136, 96)-net in base 8 | [i] | ||
| 54 | No (11, 137, 96)-net in base 8 | [i] | ||
| 55 | No (11, 138, 96)-net in base 8 | [i] | ||
| 56 | No (11, 139, 96)-net in base 8 | [i] | ||
| 57 | No (11, 140, 96)-net in base 8 | [i] | ||
| 58 | No (11, 141, 96)-net in base 8 | [i] | ||
| 59 | No (11, 142, 96)-net in base 8 | [i] | ||
| 60 | No (11, 143, 96)-net in base 8 | [i] | ||
| 61 | No (11, 144, 96)-net in base 8 | [i] | ||
| 62 | No (11, 145, 96)-net in base 8 | [i] | ||
| 63 | No (11, 146, 96)-net in base 8 | [i] | ||
| 64 | No (11, 147, 96)-net in base 8 | [i] | ||
| 65 | No (11, 148, 96)-net in base 8 | [i] | ||
| 66 | No (11, 149, 96)-net in base 8 | [i] | ||
| 67 | No (11, 150, 96)-net in base 8 | [i] | ||
| 68 | No (11, 151, 96)-net in base 8 | [i] | ||
| 69 | No (11, 152, 96)-net in base 8 | [i] | ||
| 70 | No (11, 153, 96)-net in base 8 | [i] | ||
| 71 | No (11, 154, 96)-net in base 8 | [i] | ||
| 72 | No (11, 155, 96)-net in base 8 | [i] | ||
| 73 | No (11, 156, 96)-net in base 8 | [i] | ||
| 74 | No (11, 157, 96)-net in base 8 | [i] | ||
| 75 | No (11, 158, 96)-net in base 8 | [i] | ||
| 76 | No (11, 159, 96)-net in base 8 | [i] | ||
| 77 | No (11, 160, 96)-net in base 8 | [i] | ||
| 78 | No (11, 161, 96)-net in base 8 | [i] | ||
| 79 | No (11, 162, 96)-net in base 8 | [i] | ||
| 80 | No (11, 163, 96)-net in base 8 | [i] | ||
| 81 | No (11, 164, 96)-net in base 8 | [i] | ||
| 82 | No (11, 165, 96)-net in base 8 | [i] | ||
| 83 | No (11, 166, 96)-net in base 8 | [i] | ||
| 84 | No (11, 167, 96)-net in base 8 | [i] | ||
| 85 | No (11, 168, 96)-net in base 8 | [i] | ||
| 86 | No (11, 169, 96)-net in base 8 | [i] | ||
| 87 | No (11, 170, 96)-net in base 8 | [i] | ||
| 88 | No (11, 171, 96)-net in base 8 | [i] | ||
| 89 | No (11, 172, 96)-net in base 8 | [i] | ||
| 90 | No (11, 173, 96)-net in base 8 | [i] | ||