Information on Result #521059
There is no (8, 40, 25)-net in base 3, because extracting embedded OOA would yield OOA(340, 25, S3, 2, 32), but
- the linear programming bound for OOAs shows that M ≥ 1 208575 886414 878812 860993 894121 / 96985 358767 > 340 [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 (8, 41, 25)-net in base 3 | [i] | m-Reduction | |
| 2 | No (8, 42, 25)-net in base 3 | [i] | ||
| 3 | No (8, 43, 25)-net in base 3 | [i] | ||
| 4 | No (8, 44, 25)-net in base 3 | [i] | ||
| 5 | No (8, 45, 25)-net in base 3 | [i] | ||
| 6 | No (8, 46, 25)-net in base 3 | [i] | ||
| 7 | No (8, 47, 25)-net in base 3 | [i] | ||
| 8 | No (8, 48, 25)-net in base 3 | [i] | ||
| 9 | No (8, 49, 25)-net in base 3 | [i] | ||
| 10 | No (8, 50, 25)-net in base 3 | [i] | ||
| 11 | No (8, 51, 25)-net in base 3 | [i] | ||
| 12 | No (8, 52, 25)-net in base 3 | [i] | ||
| 13 | No (8, 53, 25)-net in base 3 | [i] | ||
| 14 | No (8, 54, 25)-net in base 3 | [i] | ||
| 15 | No (8, 55, 25)-net in base 3 | [i] | ||
| 16 | No (8, 56, 25)-net in base 3 | [i] | ||
| 17 | No (8, 57, 25)-net in base 3 | [i] | ||
| 18 | No (8, 58, 25)-net in base 3 | [i] | ||
| 19 | No (8, 59, 25)-net in base 3 | [i] | ||
| 20 | No (8, 60, 25)-net in base 3 | [i] | ||
| 21 | No (8, 61, 25)-net in base 3 | [i] | ||
| 22 | No (8, 62, 25)-net in base 3 | [i] | ||
| 23 | No (8, 63, 25)-net in base 3 | [i] | ||
| 24 | No (8, 64, 25)-net in base 3 | [i] | ||
| 25 | No (8, 65, 25)-net in base 3 | [i] | ||
| 26 | No (8, 66, 25)-net in base 3 | [i] | ||
| 27 | No (8, 67, 25)-net in base 3 | [i] | ||
| 28 | No (8, 68, 25)-net in base 3 | [i] | ||
| 29 | No (8, 69, 25)-net in base 3 | [i] | ||
| 30 | No (8, 70, 25)-net in base 3 | [i] | ||
| 31 | No (8, 71, 25)-net in base 3 | [i] | ||
| 32 | No (8, 72, 25)-net in base 3 | [i] | ||
| 33 | No (8, 73, 25)-net in base 3 | [i] | ||
| 34 | No (8, 74, 25)-net in base 3 | [i] | ||
| 35 | No (8, 75, 25)-net in base 3 | [i] | ||
| 36 | No (8, 76, 25)-net in base 3 | [i] | ||
| 37 | No (8, 77, 25)-net in base 3 | [i] | ||
| 38 | No (8, 78, 25)-net in base 3 | [i] | ||
| 39 | No (8, 79, 25)-net in base 3 | [i] | ||
| 40 | No (8, 80, 25)-net in base 3 | [i] | ||
| 41 | No (8, 81, 25)-net in base 3 | [i] | ||
| 42 | No (8, 82, 25)-net in base 3 | [i] | ||
| 43 | No (8, 83, 25)-net in base 3 | [i] | ||
| 44 | No (8, 84, 25)-net in base 3 | [i] | ||
| 45 | No (8, 85, 25)-net in base 3 | [i] | ||
| 46 | No (8, 86, 25)-net in base 3 | [i] | ||
| 47 | No (8, 87, 25)-net in base 3 | [i] | ||
| 48 | No (8, 88, 25)-net in base 3 | [i] | ||
| 49 | No (8, 89, 25)-net in base 3 | [i] | ||
| 50 | No (8, 90, 25)-net in base 3 | [i] | ||
| 51 | No (8, 91, 25)-net in base 3 | [i] | ||
| 52 | No (8, 92, 25)-net in base 3 | [i] | ||
| 53 | No (8, 93, 25)-net in base 3 | [i] | ||
| 54 | No (8, 94, 25)-net in base 3 | [i] | ||
| 55 | No (8, 95, 25)-net in base 3 | [i] | ||
| 56 | No (8, 96, 25)-net in base 3 | [i] | ||
| 57 | No (8, 97, 25)-net in base 3 | [i] | ||
| 58 | No (8, 98, 25)-net in base 3 | [i] | ||
| 59 | No (8, 99, 25)-net in base 3 | [i] | ||
| 60 | No (8, 100, 25)-net in base 3 | [i] | ||
| 61 | No (8, 101, 25)-net in base 3 | [i] | ||
| 62 | No (8, 102, 25)-net in base 3 | [i] | ||
| 63 | No (8, 103, 25)-net in base 3 | [i] | ||
| 64 | No (8, 104, 25)-net in base 3 | [i] | ||
| 65 | No (8, 105, 25)-net in base 3 | [i] | ||
| 66 | No (8, 106, 25)-net in base 3 | [i] | ||
| 67 | No (8, 107, 25)-net in base 3 | [i] | ||
| 68 | No (8, 108, 25)-net in base 3 | [i] | ||
| 69 | No (8, 109, 25)-net in base 3 | [i] | ||
| 70 | No (8, 110, 25)-net in base 3 | [i] | ||
| 71 | No (8, 111, 25)-net in base 3 | [i] | ||
| 72 | No (8, 112, 25)-net in base 3 | [i] | ||
| 73 | No (8, 113, 25)-net in base 3 | [i] | ||
| 74 | No (8, 114, 25)-net in base 3 | [i] | ||
| 75 | No (8, 115, 25)-net in base 3 | [i] | ||
| 76 | No (8, 116, 25)-net in base 3 | [i] | ||
| 77 | No (8, 117, 25)-net in base 3 | [i] | ||
| 78 | No (8, 118, 25)-net in base 3 | [i] | ||
| 79 | No (8, 119, 25)-net in base 3 | [i] | ||
| 80 | No (8, 120, 25)-net in base 3 | [i] | ||
| 81 | No (8, 121, 25)-net in base 3 | [i] | ||
| 82 | No (8, 122, 25)-net in base 3 | [i] | ||
| 83 | No (8, 123, 25)-net in base 3 | [i] | ||
| 84 | No (8, 124, 25)-net in base 3 | [i] | ||
| 85 | No (8, 125, 25)-net in base 3 | [i] | ||
| 86 | No (8, 126, 25)-net in base 3 | [i] | ||
| 87 | No (8, 127, 25)-net in base 3 | [i] | ||
| 88 | No (8, 128, 25)-net in base 3 | [i] | ||
| 89 | No (8, 129, 25)-net in base 3 | [i] | ||
| 90 | No (8, 130, 25)-net in base 3 | [i] | ||
| 91 | No (8, 131, 25)-net in base 3 | [i] | ||
| 92 | No (8, 132, 25)-net in base 3 | [i] | ||
| 93 | No (8, 133, 25)-net in base 3 | [i] | ||
| 94 | No (8, 134, 25)-net in base 3 | [i] | ||
| 95 | No (8, 135, 25)-net in base 3 | [i] | ||
| 96 | No (8, 136, 25)-net in base 3 | [i] | ||
| 97 | No (8, 137, 25)-net in base 3 | [i] | ||
| 98 | No (8, 138, 25)-net in base 3 | [i] | ||
| 99 | No (8, 139, 25)-net in base 3 | [i] | ||
| 100 | No (8, 140, 25)-net in base 3 | [i] | ||
| 101 | No (8, 141, 25)-net in base 3 | [i] | ||
| 102 | No (8, 142, 25)-net in base 3 | [i] | ||
| 103 | No (8, 143, 25)-net in base 3 | [i] | ||
| 104 | No (8, 144, 25)-net in base 3 | [i] | ||
| 105 | No (8, 145, 25)-net in base 3 | [i] | ||
| 106 | No (8, 146, 25)-net in base 3 | [i] | ||
| 107 | No (8, 147, 25)-net in base 3 | [i] | ||
| 108 | No (8, 148, 25)-net in base 3 | [i] | ||
| 109 | No (8, 149, 25)-net in base 3 | [i] | ||
| 110 | No (8, 150, 25)-net in base 3 | [i] | ||
| 111 | No (8, 151, 25)-net in base 3 | [i] | ||
| 112 | No (8, 152, 25)-net in base 3 | [i] | ||
| 113 | No (8, 153, 25)-net in base 3 | [i] | ||
| 114 | No (8, 154, 25)-net in base 3 | [i] | ||
| 115 | No (8, 155, 25)-net in base 3 | [i] | ||
| 116 | No (8, 156, 25)-net in base 3 | [i] | ||
| 117 | No (8, 157, 25)-net in base 3 | [i] | ||
| 118 | No (8, 158, 25)-net in base 3 | [i] | ||
| 119 | No (8, 159, 25)-net in base 3 | [i] | ||
| 120 | No (8, 160, 25)-net in base 3 | [i] | ||
| 121 | No (8, 161, 25)-net in base 3 | [i] | ||
| 122 | No (8, 162, 25)-net in base 3 | [i] | ||
| 123 | No (8, 163, 25)-net in base 3 | [i] | ||
| 124 | No (8, 164, 25)-net in base 3 | [i] | ||
| 125 | No (8, 165, 25)-net in base 3 | [i] | ||
| 126 | No (8, 166, 25)-net in base 3 | [i] | ||
| 127 | No (8, 167, 25)-net in base 3 | [i] | ||
| 128 | No (8, 168, 25)-net in base 3 | [i] | ||
| 129 | No (8, 169, 25)-net in base 3 | [i] | ||
| 130 | No (8, 170, 25)-net in base 3 | [i] | ||
| 131 | No (8, 171, 25)-net in base 3 | [i] | ||
| 132 | No (8, 172, 25)-net in base 3 | [i] | ||
| 133 | No (8, 173, 25)-net in base 3 | [i] | ||
| 134 | No (8, 174, 25)-net in base 3 | [i] | ||
| 135 | No (8, 175, 25)-net in base 3 | [i] | ||
| 136 | No (8, 176, 25)-net in base 3 | [i] | ||
| 137 | No (8, 177, 25)-net in base 3 | [i] | ||
| 138 | No (8, 178, 25)-net in base 3 | [i] | ||
| 139 | No (8, 179, 25)-net in base 3 | [i] | ||
| 140 | No (8, 180, 25)-net in base 3 | [i] | ||
| 141 | No (8, 181, 25)-net in base 3 | [i] | ||
| 142 | No (8, 182, 25)-net in base 3 | [i] | ||
| 143 | No (8, 183, 25)-net in base 3 | [i] | ||
| 144 | No (8, 184, 25)-net in base 3 | [i] | ||
| 145 | No (8, 185, 25)-net in base 3 | [i] | ||
| 146 | No (8, 186, 25)-net in base 3 | [i] | ||
| 147 | No (8, 187, 25)-net in base 3 | [i] | ||
| 148 | No (8, 188, 25)-net in base 3 | [i] | ||
| 149 | No (8, 189, 25)-net in base 3 | [i] | ||
| 150 | No (8, 190, 25)-net in base 3 | [i] | ||
| 151 | No (8, 191, 25)-net in base 3 | [i] | ||
| 152 | No (8, 192, 25)-net in base 3 | [i] | ||
| 153 | No (8, 193, 25)-net in base 3 | [i] | ||
| 154 | No (8, 194, 25)-net in base 3 | [i] | ||
| 155 | No (8, 195, 25)-net in base 3 | [i] | ||
| 156 | No (8, 196, 25)-net in base 3 | [i] | ||
| 157 | No (8, 197, 25)-net in base 3 | [i] | ||
| 158 | No (8, 198, 25)-net in base 3 | [i] | ||
| 159 | No (8, 199, 25)-net in base 3 | [i] | ||
| 160 | No (8, 200, 25)-net in base 3 | [i] | ||
| 161 | No (8, 201, 25)-net in base 3 | [i] | ||
| 162 | No (8, 202, 25)-net in base 3 | [i] | ||
| 163 | No (8, 203, 25)-net in base 3 | [i] | ||
| 164 | No (8, 204, 25)-net in base 3 | [i] | ||
| 165 | No (8, 205, 25)-net in base 3 | [i] | ||
| 166 | No (8, 206, 25)-net in base 3 | [i] | ||
| 167 | No (8, 207, 25)-net in base 3 | [i] | ||
| 168 | No (8, 208, 25)-net in base 3 | [i] | ||
| 169 | No (8, 209, 25)-net in base 3 | [i] | ||
| 170 | No (8, 210, 25)-net in base 3 | [i] | ||
| 171 | No (8, 211, 25)-net in base 3 | [i] | ||
| 172 | No (8, 212, 25)-net in base 3 | [i] | ||
| 173 | No (8, 213, 25)-net in base 3 | [i] | ||
| 174 | No (8, 214, 25)-net in base 3 | [i] | ||
| 175 | No (8, 215, 25)-net in base 3 | [i] | ||
| 176 | No (8, 216, 25)-net in base 3 | [i] | ||
| 177 | No (8, 217, 25)-net in base 3 | [i] | ||
| 178 | No (8, 218, 25)-net in base 3 | [i] | ||
| 179 | No (8, 219, 25)-net in base 3 | [i] | ||
| 180 | No (8, 220, 25)-net in base 3 | [i] | ||
| 181 | No (8, 221, 25)-net in base 3 | [i] | ||
| 182 | No (8, 222, 25)-net in base 3 | [i] | ||
| 183 | No (8, 223, 25)-net in base 3 | [i] | ||
| 184 | No (8, 224, 25)-net in base 3 | [i] | ||
| 185 | No (8, 225, 25)-net in base 3 | [i] | ||
| 186 | No (8, 226, 25)-net in base 3 | [i] | ||
| 187 | No (8, 227, 25)-net in base 3 | [i] | ||
| 188 | No (8, 228, 25)-net in base 3 | [i] | ||
| 189 | No (8, 229, 25)-net in base 3 | [i] | ||
| 190 | No (8, 230, 25)-net in base 3 | [i] | ||
| 191 | No (8, 231, 25)-net in base 3 | [i] | ||
| 192 | No (8, 232, 25)-net in base 3 | [i] | ||
| 193 | No (8, 233, 25)-net in base 3 | [i] | ||
| 194 | No (8, 234, 25)-net in base 3 | [i] | ||
| 195 | No (8, 235, 25)-net in base 3 | [i] | ||
| 196 | No (8, 236, 25)-net in base 3 | [i] | ||
| 197 | No (8, 237, 25)-net in base 3 | [i] | ||
| 198 | No (8, 238, 25)-net in base 3 | [i] | ||
| 199 | No (8, 239, 25)-net in base 3 | [i] | ||
| 200 | No (8, 240, 25)-net in base 3 | [i] | ||
| 201 | No (8, 241, 25)-net in base 3 | [i] | ||
| 202 | No (8, 242, 25)-net in base 3 | [i] | ||
| 203 | No (8, 243, 25)-net in base 3 | [i] | ||
| 204 | No (8, 244, 25)-net in base 3 | [i] | ||
| 205 | No (8, 245, 25)-net in base 3 | [i] | ||
| 206 | No (8, 246, 25)-net in base 3 | [i] | ||
| 207 | No (8, 247, 25)-net in base 3 | [i] | ||
| 208 | No (8, 248, 25)-net in base 3 | [i] | ||
| 209 | No (8, 249, 25)-net in base 3 | [i] | ||
| 210 | No (8, 250, 25)-net in base 3 | [i] | ||
| 211 | No (8, m, 25)-net in base 3 for arbitrarily large m | [i] | m-Reduction from Arbitrarily Large Net | |