Information on Result #523165
There is no (1, 17, 18)-net in base 8, because extracting embedded OOA would yield OOA(817, 18, S8, 2, 16), but
- the linear programming bound for OOAs shows that M ≥ 666532 744850 833408 / 289 > 817 [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 (1, 18, 18)-net in base 8 | [i] | m-Reduction | |
| 2 | No (1, 19, 18)-net in base 8 | [i] | ||
| 3 | No (1, 20, 18)-net in base 8 | [i] | ||
| 4 | No (1, 21, 18)-net in base 8 | [i] | ||
| 5 | No (1, 22, 18)-net in base 8 | [i] | ||
| 6 | No (1, 23, 18)-net in base 8 | [i] | ||
| 7 | No (1, 24, 18)-net in base 8 | [i] | ||
| 8 | No (1, 25, 18)-net in base 8 | [i] | ||
| 9 | No (1, 26, 18)-net in base 8 | [i] | ||
| 10 | No (1, 27, 18)-net in base 8 | [i] | ||
| 11 | No (1, 28, 18)-net in base 8 | [i] | ||
| 12 | No (1, 29, 18)-net in base 8 | [i] | ||
| 13 | No (1, 30, 18)-net in base 8 | [i] | ||
| 14 | No (1, 31, 18)-net in base 8 | [i] | ||
| 15 | No (1, 32, 18)-net in base 8 | [i] | ||
| 16 | No (1, 33, 18)-net in base 8 | [i] | ||
| 17 | No (1, 34, 18)-net in base 8 | [i] | ||
| 18 | No (1, 35, 18)-net in base 8 | [i] | ||
| 19 | No (1, 36, 18)-net in base 8 | [i] | ||
| 20 | No (1, 37, 18)-net in base 8 | [i] | ||
| 21 | No (1, 38, 18)-net in base 8 | [i] | ||
| 22 | No (1, 39, 18)-net in base 8 | [i] | ||
| 23 | No (1, 40, 18)-net in base 8 | [i] | ||
| 24 | No (1, 41, 18)-net in base 8 | [i] | ||
| 25 | No (1, 42, 18)-net in base 8 | [i] | ||
| 26 | No (1, 43, 18)-net in base 8 | [i] | ||
| 27 | No (1, 44, 18)-net in base 8 | [i] | ||
| 28 | No (1, 45, 18)-net in base 8 | [i] | ||
| 29 | No (1, 46, 18)-net in base 8 | [i] | ||
| 30 | No (1, 47, 18)-net in base 8 | [i] | ||
| 31 | No (1, 48, 18)-net in base 8 | [i] | ||
| 32 | No (1, 49, 18)-net in base 8 | [i] | ||
| 33 | No (1, 50, 18)-net in base 8 | [i] | ||
| 34 | No (1, 51, 18)-net in base 8 | [i] | ||
| 35 | No (1, 52, 18)-net in base 8 | [i] | ||
| 36 | No (1, 53, 18)-net in base 8 | [i] | ||
| 37 | No (1, 54, 18)-net in base 8 | [i] | ||
| 38 | No (1, 55, 18)-net in base 8 | [i] | ||
| 39 | No (1, 56, 18)-net in base 8 | [i] | ||
| 40 | No (1, 57, 18)-net in base 8 | [i] | ||
| 41 | No (1, 58, 18)-net in base 8 | [i] | ||
| 42 | No (1, 59, 18)-net in base 8 | [i] | ||
| 43 | No (1, 60, 18)-net in base 8 | [i] | ||
| 44 | No (1, 61, 18)-net in base 8 | [i] | ||
| 45 | No (1, 62, 18)-net in base 8 | [i] | ||
| 46 | No (1, 63, 18)-net in base 8 | [i] | ||
| 47 | No (1, 64, 18)-net in base 8 | [i] | ||
| 48 | No (1, 65, 18)-net in base 8 | [i] | ||
| 49 | No (1, 66, 18)-net in base 8 | [i] | ||
| 50 | No (1, 67, 18)-net in base 8 | [i] | ||
| 51 | No (1, 68, 18)-net in base 8 | [i] | ||
| 52 | No (1, 69, 18)-net in base 8 | [i] | ||
| 53 | No (1, 70, 18)-net in base 8 | [i] | ||
| 54 | No (1, 71, 18)-net in base 8 | [i] | ||
| 55 | No (1, 72, 18)-net in base 8 | [i] | ||
| 56 | No (1, 73, 18)-net in base 8 | [i] | ||
| 57 | No (1, 74, 18)-net in base 8 | [i] | ||
| 58 | No (1, 75, 18)-net in base 8 | [i] | ||
| 59 | No (1, 76, 18)-net in base 8 | [i] | ||
| 60 | No (1, 77, 18)-net in base 8 | [i] | ||
| 61 | No (1, 78, 18)-net in base 8 | [i] | ||
| 62 | No (1, 79, 18)-net in base 8 | [i] | ||
| 63 | No (1, 80, 18)-net in base 8 | [i] | ||
| 64 | No (1, 81, 18)-net in base 8 | [i] | ||
| 65 | No (1, 82, 18)-net in base 8 | [i] | ||
| 66 | No (1, 83, 18)-net in base 8 | [i] | ||
| 67 | No (1, 84, 18)-net in base 8 | [i] | ||
| 68 | No (1, 85, 18)-net in base 8 | [i] | ||
| 69 | No (1, 86, 18)-net in base 8 | [i] | ||
| 70 | No (1, 87, 18)-net in base 8 | [i] | ||
| 71 | No (1, 88, 18)-net in base 8 | [i] | ||
| 72 | No (1, 89, 18)-net in base 8 | [i] | ||
| 73 | No (1, 90, 18)-net in base 8 | [i] | ||
| 74 | No (1, 91, 18)-net in base 8 | [i] | ||
| 75 | No (1, 92, 18)-net in base 8 | [i] | ||
| 76 | No (1, 93, 18)-net in base 8 | [i] | ||
| 77 | No (1, 94, 18)-net in base 8 | [i] | ||
| 78 | No (1, 95, 18)-net in base 8 | [i] | ||
| 79 | No (1, 96, 18)-net in base 8 | [i] | ||
| 80 | No (1, 97, 18)-net in base 8 | [i] | ||
| 81 | No (1, 98, 18)-net in base 8 | [i] | ||
| 82 | No (1, 99, 18)-net in base 8 | [i] | ||
| 83 | No (1, 100, 18)-net in base 8 | [i] | ||
| 84 | No (1, 101, 18)-net in base 8 | [i] | ||
| 85 | No (1, 102, 18)-net in base 8 | [i] | ||
| 86 | No (1, 103, 18)-net in base 8 | [i] | ||
| 87 | No (1, 104, 18)-net in base 8 | [i] | ||
| 88 | No (1, 105, 18)-net in base 8 | [i] | ||
| 89 | No (1, 106, 18)-net in base 8 | [i] | ||
| 90 | No (1, 107, 18)-net in base 8 | [i] | ||
| 91 | No (1, 108, 18)-net in base 8 | [i] | ||
| 92 | No (1, 109, 18)-net in base 8 | [i] | ||
| 93 | No (1, 110, 18)-net in base 8 | [i] | ||
| 94 | No (1, 111, 18)-net in base 8 | [i] | ||
| 95 | No (1, 112, 18)-net in base 8 | [i] | ||
| 96 | No (1, 113, 18)-net in base 8 | [i] | ||
| 97 | No (1, 114, 18)-net in base 8 | [i] | ||
| 98 | No (1, 115, 18)-net in base 8 | [i] | ||
| 99 | No (1, 116, 18)-net in base 8 | [i] | ||
| 100 | No (1, 117, 18)-net in base 8 | [i] | ||
| 101 | No (1, 118, 18)-net in base 8 | [i] | ||
| 102 | No (1, 119, 18)-net in base 8 | [i] | ||
| 103 | No (1, 120, 18)-net in base 8 | [i] | ||
| 104 | No (1, 121, 18)-net in base 8 | [i] | ||
| 105 | No (1, 122, 18)-net in base 8 | [i] | ||
| 106 | No (1, 123, 18)-net in base 8 | [i] | ||
| 107 | No (1, 124, 18)-net in base 8 | [i] | ||
| 108 | No (1, 125, 18)-net in base 8 | [i] | ||
| 109 | No (1, 126, 18)-net in base 8 | [i] | ||
| 110 | No (1, 127, 18)-net in base 8 | [i] | ||
| 111 | No (1, 128, 18)-net in base 8 | [i] | ||
| 112 | No (1, 129, 18)-net in base 8 | [i] | ||
| 113 | No (1, 130, 18)-net in base 8 | [i] | ||
| 114 | No (1, 131, 18)-net in base 8 | [i] | ||
| 115 | No (1, 132, 18)-net in base 8 | [i] | ||
| 116 | No (1, 133, 18)-net in base 8 | [i] | ||
| 117 | No (1, 134, 18)-net in base 8 | [i] | ||
| 118 | No (1, 135, 18)-net in base 8 | [i] | ||
| 119 | No (1, 136, 18)-net in base 8 | [i] | ||
| 120 | No (1, 137, 18)-net in base 8 | [i] | ||
| 121 | No (1, 138, 18)-net in base 8 | [i] | ||
| 122 | No (1, 139, 18)-net in base 8 | [i] | ||
| 123 | No (1, 140, 18)-net in base 8 | [i] | ||
| 124 | No (1, 141, 18)-net in base 8 | [i] | ||
| 125 | No (1, 142, 18)-net in base 8 | [i] | ||
| 126 | No (1, 143, 18)-net in base 8 | [i] | ||
| 127 | No (1, 144, 18)-net in base 8 | [i] | ||
| 128 | No (1, 145, 18)-net in base 8 | [i] | ||
| 129 | No (1, 146, 18)-net in base 8 | [i] | ||
| 130 | No (1, 147, 18)-net in base 8 | [i] | ||
| 131 | No (1, 148, 18)-net in base 8 | [i] | ||
| 132 | No (1, 149, 18)-net in base 8 | [i] | ||
| 133 | No (1, 150, 18)-net in base 8 | [i] | ||
| 134 | No (1, 151, 18)-net in base 8 | [i] | ||
| 135 | No (1, 152, 18)-net in base 8 | [i] | ||
| 136 | No (1, 153, 18)-net in base 8 | [i] | ||
| 137 | No (1, 154, 18)-net in base 8 | [i] | ||
| 138 | No (1, 155, 18)-net in base 8 | [i] | ||
| 139 | No (1, 156, 18)-net in base 8 | [i] | ||
| 140 | No (1, 157, 18)-net in base 8 | [i] | ||
| 141 | No (1, 158, 18)-net in base 8 | [i] | ||
| 142 | No (1, 159, 18)-net in base 8 | [i] | ||
| 143 | No (1, 160, 18)-net in base 8 | [i] | ||
| 144 | No (1, 161, 18)-net in base 8 | [i] | ||
| 145 | No (1, 162, 18)-net in base 8 | [i] | ||
| 146 | No (1, 163, 18)-net in base 8 | [i] | ||
| 147 | No (1, 164, 18)-net in base 8 | [i] | ||
| 148 | No (1, 165, 18)-net in base 8 | [i] | ||
| 149 | No (1, 166, 18)-net in base 8 | [i] | ||
| 150 | No (1, 167, 18)-net in base 8 | [i] | ||
| 151 | No (1, 168, 18)-net in base 8 | [i] | ||
| 152 | No (1, 169, 18)-net in base 8 | [i] | ||
| 153 | No (1, 170, 18)-net in base 8 | [i] | ||
| 154 | No (1, 171, 18)-net in base 8 | [i] | ||
| 155 | No (1, 172, 18)-net in base 8 | [i] | ||
| 156 | No (1, 173, 18)-net in base 8 | [i] | ||
| 157 | No (1, m, 18)-net in base 8 for arbitrarily large m | [i] | m-Reduction from Arbitrarily Large Net | |