Information on Result #523697
There is no (10, 87, 97)-net in base 9, because extracting embedded orthogonal array would yield OA(987, 97, S9, 77), but
- the linear programming bound shows that M ≥ 577 508372 587460 541806 827932 218426 944109 871880 135970 034666 716258 074835 618754 104688 984869 879637 / 5272 197931 > 987 [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, 88, 97)-net in base 9 | [i] | m-Reduction | |
| 2 | No (10, 89, 97)-net in base 9 | [i] | ||
| 3 | No (10, 90, 97)-net in base 9 | [i] | ||
| 4 | No (10, 91, 97)-net in base 9 | [i] | ||
| 5 | No (10, 92, 97)-net in base 9 | [i] | ||
| 6 | No (10, 93, 97)-net in base 9 | [i] | ||
| 7 | No (10, 94, 97)-net in base 9 | [i] | ||
| 8 | No (10, 95, 97)-net in base 9 | [i] | ||
| 9 | No (10, 96, 97)-net in base 9 | [i] | ||
| 10 | No (10, 97, 97)-net in base 9 | [i] | ||
| 11 | No (10, 98, 97)-net in base 9 | [i] | ||
| 12 | No (10, 99, 97)-net in base 9 | [i] | ||
| 13 | No (10, 100, 97)-net in base 9 | [i] | ||
| 14 | No (10, 101, 97)-net in base 9 | [i] | ||
| 15 | No (10, 102, 97)-net in base 9 | [i] | ||
| 16 | No (10, 103, 97)-net in base 9 | [i] | ||
| 17 | No (10, 104, 97)-net in base 9 | [i] | ||
| 18 | No (10, 105, 97)-net in base 9 | [i] | ||
| 19 | No (10, 106, 97)-net in base 9 | [i] | ||
| 20 | No (10, 107, 97)-net in base 9 | [i] | ||
| 21 | No (10, 108, 97)-net in base 9 | [i] | ||
| 22 | No (10, 109, 97)-net in base 9 | [i] | ||
| 23 | No (10, 110, 97)-net in base 9 | [i] | ||
| 24 | No (10, 111, 97)-net in base 9 | [i] | ||
| 25 | No (10, 112, 97)-net in base 9 | [i] | ||
| 26 | No (10, 113, 97)-net in base 9 | [i] | ||
| 27 | No (10, 114, 97)-net in base 9 | [i] | ||
| 28 | No (10, 115, 97)-net in base 9 | [i] | ||
| 29 | No (10, 116, 97)-net in base 9 | [i] | ||
| 30 | No (10, 117, 97)-net in base 9 | [i] | ||
| 31 | No (10, 118, 97)-net in base 9 | [i] | ||
| 32 | No (10, 119, 97)-net in base 9 | [i] | ||
| 33 | No (10, 120, 97)-net in base 9 | [i] | ||
| 34 | No (10, 121, 97)-net in base 9 | [i] | ||
| 35 | No (10, 122, 97)-net in base 9 | [i] | ||
| 36 | No (10, 123, 97)-net in base 9 | [i] | ||
| 37 | No (10, 124, 97)-net in base 9 | [i] | ||
| 38 | No (10, 125, 97)-net in base 9 | [i] | ||
| 39 | No (10, 126, 97)-net in base 9 | [i] | ||
| 40 | No (10, 127, 97)-net in base 9 | [i] | ||
| 41 | No (10, 128, 97)-net in base 9 | [i] | ||
| 42 | No (10, 129, 97)-net in base 9 | [i] | ||
| 43 | No (10, 130, 97)-net in base 9 | [i] | ||
| 44 | No (10, 131, 97)-net in base 9 | [i] | ||
| 45 | No (10, 132, 97)-net in base 9 | [i] | ||
| 46 | No (10, 133, 97)-net in base 9 | [i] | ||
| 47 | No (10, 134, 97)-net in base 9 | [i] | ||
| 48 | No (10, 135, 97)-net in base 9 | [i] | ||
| 49 | No (10, 136, 97)-net in base 9 | [i] | ||
| 50 | No (10, 137, 97)-net in base 9 | [i] | ||
| 51 | No (10, 138, 97)-net in base 9 | [i] | ||
| 52 | No (10, 139, 97)-net in base 9 | [i] | ||
| 53 | No (10, 140, 97)-net in base 9 | [i] | ||
| 54 | No (10, 141, 97)-net in base 9 | [i] | ||
| 55 | No (10, 142, 97)-net in base 9 | [i] | ||
| 56 | No (10, 143, 97)-net in base 9 | [i] | ||
| 57 | No (10, 144, 97)-net in base 9 | [i] | ||
| 58 | No (10, 145, 97)-net in base 9 | [i] | ||
| 59 | No (10, 146, 97)-net in base 9 | [i] | ||
| 60 | No (10, 147, 97)-net in base 9 | [i] | ||
| 61 | No (10, 148, 97)-net in base 9 | [i] | ||
| 62 | No (10, 149, 97)-net in base 9 | [i] | ||
| 63 | No (10, 150, 97)-net in base 9 | [i] | ||
| 64 | No (10, m, 97)-net in base 9 for arbitrarily large m | [i] | m-Reduction from Arbitrarily Large Net | |