Information on Result #523347
There is no (10, 79, 89)-net in base 8, because extracting embedded orthogonal array would yield OA(879, 89, S8, 69), but
- the linear programming bound shows that M ≥ 65 600614 468436 793327 664966 251603 548180 144825 093020 806068 320527 896711 603979 026432 / 245 278125 > 879 [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 (10, 80, 89)-net in base 8 | [i] | m-Reduction | |
| 2 | No (10, 81, 89)-net in base 8 | [i] | ||
| 3 | No (10, 82, 89)-net in base 8 | [i] | ||
| 4 | No (10, 83, 89)-net in base 8 | [i] | ||
| 5 | No (10, 84, 89)-net in base 8 | [i] | ||
| 6 | No (10, 85, 89)-net in base 8 | [i] | ||
| 7 | No (10, 86, 89)-net in base 8 | [i] | ||
| 8 | No (10, 87, 89)-net in base 8 | [i] | ||
| 9 | No (10, 88, 89)-net in base 8 | [i] | ||
| 10 | No (10, 89, 89)-net in base 8 | [i] | ||
| 11 | No (10, 90, 89)-net in base 8 | [i] | ||
| 12 | No (10, 91, 89)-net in base 8 | [i] | ||
| 13 | No (10, 92, 89)-net in base 8 | [i] | ||
| 14 | No (10, 93, 89)-net in base 8 | [i] | ||
| 15 | No (10, 94, 89)-net in base 8 | [i] | ||
| 16 | No (10, 95, 89)-net in base 8 | [i] | ||
| 17 | No (10, 96, 89)-net in base 8 | [i] | ||
| 18 | No (10, 97, 89)-net in base 8 | [i] | ||
| 19 | No (10, 98, 89)-net in base 8 | [i] | ||
| 20 | No (10, 99, 89)-net in base 8 | [i] | ||
| 21 | No (10, 100, 89)-net in base 8 | [i] | ||
| 22 | No (10, 101, 89)-net in base 8 | [i] | ||
| 23 | No (10, 102, 89)-net in base 8 | [i] | ||
| 24 | No (10, 103, 89)-net in base 8 | [i] | ||
| 25 | No (10, 104, 89)-net in base 8 | [i] | ||
| 26 | No (10, 105, 89)-net in base 8 | [i] | ||
| 27 | No (10, 106, 89)-net in base 8 | [i] | ||
| 28 | No (10, 107, 89)-net in base 8 | [i] | ||
| 29 | No (10, 108, 89)-net in base 8 | [i] | ||
| 30 | No (10, 109, 89)-net in base 8 | [i] | ||
| 31 | No (10, 110, 89)-net in base 8 | [i] | ||
| 32 | No (10, 111, 89)-net in base 8 | [i] | ||
| 33 | No (10, 112, 89)-net in base 8 | [i] | ||
| 34 | No (10, 113, 89)-net in base 8 | [i] | ||
| 35 | No (10, 114, 89)-net in base 8 | [i] | ||
| 36 | No (10, 115, 89)-net in base 8 | [i] | ||
| 37 | No (10, 116, 89)-net in base 8 | [i] | ||
| 38 | No (10, 117, 89)-net in base 8 | [i] | ||
| 39 | No (10, 118, 89)-net in base 8 | [i] | ||
| 40 | No (10, 119, 89)-net in base 8 | [i] | ||
| 41 | No (10, 120, 89)-net in base 8 | [i] | ||
| 42 | No (10, 121, 89)-net in base 8 | [i] | ||
| 43 | No (10, 122, 89)-net in base 8 | [i] | ||
| 44 | No (10, 123, 89)-net in base 8 | [i] | ||
| 45 | No (10, 124, 89)-net in base 8 | [i] | ||
| 46 | No (10, 125, 89)-net in base 8 | [i] | ||
| 47 | No (10, 126, 89)-net in base 8 | [i] | ||
| 48 | No (10, 127, 89)-net in base 8 | [i] | ||
| 49 | No (10, 128, 89)-net in base 8 | [i] | ||
| 50 | No (10, 129, 89)-net in base 8 | [i] | ||
| 51 | No (10, 130, 89)-net in base 8 | [i] | ||
| 52 | No (10, 131, 89)-net in base 8 | [i] | ||
| 53 | No (10, 132, 89)-net in base 8 | [i] | ||
| 54 | No (10, 133, 89)-net in base 8 | [i] | ||
| 55 | No (10, 134, 89)-net in base 8 | [i] | ||
| 56 | No (10, 135, 89)-net in base 8 | [i] | ||
| 57 | No (10, 136, 89)-net in base 8 | [i] | ||
| 58 | No (10, 137, 89)-net in base 8 | [i] | ||
| 59 | No (10, 138, 89)-net in base 8 | [i] | ||
| 60 | No (10, 139, 89)-net in base 8 | [i] | ||
| 61 | No (10, 140, 89)-net in base 8 | [i] | ||
| 62 | No (10, 141, 89)-net in base 8 | [i] | ||
| 63 | No (10, 142, 89)-net in base 8 | [i] | ||
| 64 | No (10, 143, 89)-net in base 8 | [i] | ||
| 65 | No (10, 144, 89)-net in base 8 | [i] | ||
| 66 | No (10, 145, 89)-net in base 8 | [i] | ||
| 67 | No (10, 146, 89)-net in base 8 | [i] | ||
| 68 | No (10, 147, 89)-net in base 8 | [i] | ||
| 69 | No (10, 148, 89)-net in base 8 | [i] | ||
| 70 | No (10, 149, 89)-net in base 8 | [i] | ||
| 71 | No (10, 150, 89)-net in base 8 | [i] | ||
| 72 | No (10, 151, 89)-net in base 8 | [i] | ||
| 73 | No (10, 152, 89)-net in base 8 | [i] | ||
| 74 | No (10, 153, 89)-net in base 8 | [i] | ||
| 75 | No (10, 154, 89)-net in base 8 | [i] | ||
| 76 | No (10, 155, 89)-net in base 8 | [i] | ||
| 77 | No (10, 156, 89)-net in base 8 | [i] | ||
| 78 | No (10, 157, 89)-net in base 8 | [i] | ||
| 79 | No (10, 158, 89)-net in base 8 | [i] | ||
| 80 | No (10, 159, 89)-net in base 8 | [i] | ||
| 81 | No (10, 160, 89)-net in base 8 | [i] | ||
| 82 | No (10, 161, 89)-net in base 8 | [i] | ||
| 83 | No (10, 162, 89)-net in base 8 | [i] | ||
| 84 | No (10, 163, 89)-net in base 8 | [i] | ||
| 85 | No (10, 164, 89)-net in base 8 | [i] | ||
| 86 | No (10, 165, 89)-net in base 8 | [i] | ||
| 87 | No (10, 166, 89)-net in base 8 | [i] | ||
| 88 | No (10, 167, 89)-net in base 8 | [i] | ||
| 89 | No (10, 168, 89)-net in base 8 | [i] | ||
| 90 | No (10, 169, 89)-net in base 8 | [i] | ||
| 91 | No (10, 170, 89)-net in base 8 | [i] | ||
| 92 | No (10, 171, 89)-net in base 8 | [i] | ||
| 93 | No (10, 172, 89)-net in base 8 | [i] | ||