Information on Result #523510
There is no (2, 27, 31)-net in base 9, because extracting embedded orthogonal array would yield OA(927, 31, S9, 25), but
- the linear programming bound shows that M ≥ 25644 034018 340666 323462 064529 / 377 > 927 [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 (2, 28, 31)-net in base 9 | [i] | m-Reduction | |
| 2 | No (2, 29, 31)-net in base 9 | [i] | ||
| 3 | No (2, 30, 31)-net in base 9 | [i] | ||
| 4 | No (2, 31, 31)-net in base 9 | [i] | ||
| 5 | No (2, 32, 31)-net in base 9 | [i] | ||
| 6 | No (2, 33, 31)-net in base 9 | [i] | ||
| 7 | No (2, 34, 31)-net in base 9 | [i] | ||
| 8 | No (2, 35, 31)-net in base 9 | [i] | ||
| 9 | No (2, 36, 31)-net in base 9 | [i] | ||
| 10 | No (2, 37, 31)-net in base 9 | [i] | ||
| 11 | No (2, 38, 31)-net in base 9 | [i] | ||
| 12 | No (2, 39, 31)-net in base 9 | [i] | ||
| 13 | No (2, 40, 31)-net in base 9 | [i] | ||
| 14 | No (2, 41, 31)-net in base 9 | [i] | ||
| 15 | No (2, 42, 31)-net in base 9 | [i] | ||
| 16 | No (2, 43, 31)-net in base 9 | [i] | ||
| 17 | No (2, 44, 31)-net in base 9 | [i] | ||
| 18 | No (2, 45, 31)-net in base 9 | [i] | ||
| 19 | No (2, 46, 31)-net in base 9 | [i] | ||
| 20 | No (2, 47, 31)-net in base 9 | [i] | ||
| 21 | No (2, 48, 31)-net in base 9 | [i] | ||
| 22 | No (2, 49, 31)-net in base 9 | [i] | ||
| 23 | No (2, 50, 31)-net in base 9 | [i] | ||
| 24 | No (2, 51, 31)-net in base 9 | [i] | ||
| 25 | No (2, 52, 31)-net in base 9 | [i] | ||
| 26 | No (2, 53, 31)-net in base 9 | [i] | ||
| 27 | No (2, 54, 31)-net in base 9 | [i] | ||
| 28 | No (2, 55, 31)-net in base 9 | [i] | ||
| 29 | No (2, 56, 31)-net in base 9 | [i] | ||
| 30 | No (2, 57, 31)-net in base 9 | [i] | ||
| 31 | No (2, 58, 31)-net in base 9 | [i] | ||
| 32 | No (2, 59, 31)-net in base 9 | [i] | ||
| 33 | No (2, 60, 31)-net in base 9 | [i] | ||
| 34 | No (2, 61, 31)-net in base 9 | [i] | ||
| 35 | No (2, 62, 31)-net in base 9 | [i] | ||
| 36 | No (2, 63, 31)-net in base 9 | [i] | ||
| 37 | No (2, 64, 31)-net in base 9 | [i] | ||
| 38 | No (2, 65, 31)-net in base 9 | [i] | ||
| 39 | No (2, 66, 31)-net in base 9 | [i] | ||
| 40 | No (2, 67, 31)-net in base 9 | [i] | ||
| 41 | No (2, 68, 31)-net in base 9 | [i] | ||
| 42 | No (2, 69, 31)-net in base 9 | [i] | ||
| 43 | No (2, 70, 31)-net in base 9 | [i] | ||
| 44 | No (2, 71, 31)-net in base 9 | [i] | ||
| 45 | No (2, 72, 31)-net in base 9 | [i] | ||
| 46 | No (2, 73, 31)-net in base 9 | [i] | ||
| 47 | No (2, 74, 31)-net in base 9 | [i] | ||
| 48 | No (2, 75, 31)-net in base 9 | [i] | ||
| 49 | No (2, 76, 31)-net in base 9 | [i] | ||
| 50 | No (2, 77, 31)-net in base 9 | [i] | ||
| 51 | No (2, 78, 31)-net in base 9 | [i] | ||
| 52 | No (2, 79, 31)-net in base 9 | [i] | ||
| 53 | No (2, 80, 31)-net in base 9 | [i] | ||
| 54 | No (2, 81, 31)-net in base 9 | [i] | ||
| 55 | No (2, 82, 31)-net in base 9 | [i] | ||
| 56 | No (2, 83, 31)-net in base 9 | [i] | ||
| 57 | No (2, 84, 31)-net in base 9 | [i] | ||
| 58 | No (2, 85, 31)-net in base 9 | [i] | ||
| 59 | No (2, 86, 31)-net in base 9 | [i] | ||
| 60 | No (2, 87, 31)-net in base 9 | [i] | ||
| 61 | No (2, 88, 31)-net in base 9 | [i] | ||
| 62 | No (2, 89, 31)-net in base 9 | [i] | ||
| 63 | No (2, 90, 31)-net in base 9 | [i] | ||
| 64 | No (2, 91, 31)-net in base 9 | [i] | ||
| 65 | No (2, 92, 31)-net in base 9 | [i] | ||
| 66 | No (2, 93, 31)-net in base 9 | [i] | ||
| 67 | No (2, 94, 31)-net in base 9 | [i] | ||
| 68 | No (2, 95, 31)-net in base 9 | [i] | ||
| 69 | No (2, 96, 31)-net in base 9 | [i] | ||
| 70 | No (2, 97, 31)-net in base 9 | [i] | ||
| 71 | No (2, 98, 31)-net in base 9 | [i] | ||
| 72 | No (2, 99, 31)-net in base 9 | [i] | ||
| 73 | No (2, 100, 31)-net in base 9 | [i] | ||
| 74 | No (2, 101, 31)-net in base 9 | [i] | ||
| 75 | No (2, 102, 31)-net in base 9 | [i] | ||
| 76 | No (2, 103, 31)-net in base 9 | [i] | ||
| 77 | No (2, 104, 31)-net in base 9 | [i] | ||
| 78 | No (2, 105, 31)-net in base 9 | [i] | ||
| 79 | No (2, 106, 31)-net in base 9 | [i] | ||
| 80 | No (2, 107, 31)-net in base 9 | [i] | ||
| 81 | No (2, 108, 31)-net in base 9 | [i] | ||
| 82 | No (2, 109, 31)-net in base 9 | [i] | ||
| 83 | No (2, 110, 31)-net in base 9 | [i] | ||
| 84 | No (2, 111, 31)-net in base 9 | [i] | ||
| 85 | No (2, 112, 31)-net in base 9 | [i] | ||
| 86 | No (2, 113, 31)-net in base 9 | [i] | ||
| 87 | No (2, 114, 31)-net in base 9 | [i] | ||
| 88 | No (2, 115, 31)-net in base 9 | [i] | ||
| 89 | No (2, 116, 31)-net in base 9 | [i] | ||
| 90 | No (2, 117, 31)-net in base 9 | [i] | ||
| 91 | No (2, 118, 31)-net in base 9 | [i] | ||
| 92 | No (2, 119, 31)-net in base 9 | [i] | ||
| 93 | No (2, 120, 31)-net in base 9 | [i] | ||
| 94 | No (2, 121, 31)-net in base 9 | [i] | ||
| 95 | No (2, 122, 31)-net in base 9 | [i] | ||
| 96 | No (2, 123, 31)-net in base 9 | [i] | ||
| 97 | No (2, 124, 31)-net in base 9 | [i] | ||
| 98 | No (2, 125, 31)-net in base 9 | [i] | ||
| 99 | No (2, 126, 31)-net in base 9 | [i] | ||
| 100 | No (2, 127, 31)-net in base 9 | [i] | ||
| 101 | No (2, 128, 31)-net in base 9 | [i] | ||
| 102 | No (2, 129, 31)-net in base 9 | [i] | ||
| 103 | No (2, 130, 31)-net in base 9 | [i] | ||
| 104 | No (2, 131, 31)-net in base 9 | [i] | ||
| 105 | No (2, 132, 31)-net in base 9 | [i] | ||
| 106 | No (2, 133, 31)-net in base 9 | [i] | ||
| 107 | No (2, 134, 31)-net in base 9 | [i] | ||
| 108 | No (2, 135, 31)-net in base 9 | [i] | ||
| 109 | No (2, 136, 31)-net in base 9 | [i] | ||
| 110 | No (2, 137, 31)-net in base 9 | [i] | ||
| 111 | No (2, 138, 31)-net in base 9 | [i] | ||
| 112 | No (2, 139, 31)-net in base 9 | [i] | ||
| 113 | No (2, 140, 31)-net in base 9 | [i] | ||
| 114 | No (2, 141, 31)-net in base 9 | [i] | ||
| 115 | No (2, 142, 31)-net in base 9 | [i] | ||
| 116 | No (2, 143, 31)-net in base 9 | [i] | ||
| 117 | No (2, 144, 31)-net in base 9 | [i] | ||
| 118 | No (2, 145, 31)-net in base 9 | [i] | ||
| 119 | No (2, 146, 31)-net in base 9 | [i] | ||
| 120 | No (2, 147, 31)-net in base 9 | [i] | ||
| 121 | No (2, 148, 31)-net in base 9 | [i] | ||
| 122 | No (2, 149, 31)-net in base 9 | [i] | ||
| 123 | No (2, 150, 31)-net in base 9 | [i] | ||
| 124 | No (2, m, 31)-net in base 9 for arbitrarily large m | [i] | m-Reduction from Arbitrarily Large Net | |