Information on Result #521008
There is no (2, 13, 10)-net in base 3, because extracting embedded OOA would yield OOA(313, 10, S3, 3, 11), but
- the linear programming bound for OOAs shows that M ≥ 18 068994 / 11 > 313 [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, 14, 10)-net in base 3 | [i] | m-Reduction | |
| 2 | No (2, 15, 10)-net in base 3 | [i] | ||
| 3 | No (2, 16, 10)-net in base 3 | [i] | ||
| 4 | No (2, 17, 10)-net in base 3 | [i] | ||
| 5 | No (2, 18, 10)-net in base 3 | [i] | ||
| 6 | No (2, 19, 10)-net in base 3 | [i] | ||
| 7 | No (2, 20, 10)-net in base 3 | [i] | ||
| 8 | No (2, 21, 10)-net in base 3 | [i] | ||
| 9 | No (2, 22, 10)-net in base 3 | [i] | ||
| 10 | No (2, 23, 10)-net in base 3 | [i] | ||
| 11 | No (2, 24, 10)-net in base 3 | [i] | ||
| 12 | No (2, 25, 10)-net in base 3 | [i] | ||
| 13 | No (2, 26, 10)-net in base 3 | [i] | ||
| 14 | No (2, 27, 10)-net in base 3 | [i] | ||
| 15 | No (2, 28, 10)-net in base 3 | [i] | ||
| 16 | No (2, 29, 10)-net in base 3 | [i] | ||
| 17 | No (2, 30, 10)-net in base 3 | [i] | ||
| 18 | No (2, 31, 10)-net in base 3 | [i] | ||
| 19 | No (2, 32, 10)-net in base 3 | [i] | ||
| 20 | No (2, 33, 10)-net in base 3 | [i] | ||
| 21 | No (2, 34, 10)-net in base 3 | [i] | ||
| 22 | No (2, 35, 10)-net in base 3 | [i] | ||
| 23 | No (2, 36, 10)-net in base 3 | [i] | ||
| 24 | No (2, 37, 10)-net in base 3 | [i] | ||
| 25 | No (2, 38, 10)-net in base 3 | [i] | ||
| 26 | No (2, 39, 10)-net in base 3 | [i] | ||
| 27 | No (2, 40, 10)-net in base 3 | [i] | ||
| 28 | No (2, 41, 10)-net in base 3 | [i] | ||
| 29 | No (2, 42, 10)-net in base 3 | [i] | ||
| 30 | No (2, 43, 10)-net in base 3 | [i] | ||
| 31 | No (2, 44, 10)-net in base 3 | [i] | ||
| 32 | No (2, 45, 10)-net in base 3 | [i] | ||
| 33 | No (2, 46, 10)-net in base 3 | [i] | ||
| 34 | No (2, 47, 10)-net in base 3 | [i] | ||
| 35 | No (2, 48, 10)-net in base 3 | [i] | ||
| 36 | No (2, 49, 10)-net in base 3 | [i] | ||
| 37 | No (2, 50, 10)-net in base 3 | [i] | ||
| 38 | No (2, 51, 10)-net in base 3 | [i] | ||
| 39 | No (2, 52, 10)-net in base 3 | [i] | ||
| 40 | No (2, 53, 10)-net in base 3 | [i] | ||
| 41 | No (2, 54, 10)-net in base 3 | [i] | ||
| 42 | No (2, 55, 10)-net in base 3 | [i] | ||
| 43 | No (2, 56, 10)-net in base 3 | [i] | ||
| 44 | No (2, 57, 10)-net in base 3 | [i] | ||
| 45 | No (2, 58, 10)-net in base 3 | [i] | ||
| 46 | No (2, 59, 10)-net in base 3 | [i] | ||
| 47 | No (2, 60, 10)-net in base 3 | [i] | ||
| 48 | No (2, 61, 10)-net in base 3 | [i] | ||
| 49 | No (2, 62, 10)-net in base 3 | [i] | ||
| 50 | No (2, 63, 10)-net in base 3 | [i] | ||
| 51 | No (2, 64, 10)-net in base 3 | [i] | ||
| 52 | No (2, 65, 10)-net in base 3 | [i] | ||
| 53 | No (2, 66, 10)-net in base 3 | [i] | ||
| 54 | No (2, 67, 10)-net in base 3 | [i] | ||
| 55 | No (2, 68, 10)-net in base 3 | [i] | ||
| 56 | No (2, 69, 10)-net in base 3 | [i] | ||
| 57 | No (2, 70, 10)-net in base 3 | [i] | ||
| 58 | No (2, 71, 10)-net in base 3 | [i] | ||
| 59 | No (2, 72, 10)-net in base 3 | [i] | ||
| 60 | No (2, 73, 10)-net in base 3 | [i] | ||
| 61 | No (2, 74, 10)-net in base 3 | [i] | ||
| 62 | No (2, 75, 10)-net in base 3 | [i] | ||
| 63 | No (2, 76, 10)-net in base 3 | [i] | ||
| 64 | No (2, 77, 10)-net in base 3 | [i] | ||
| 65 | No (2, 78, 10)-net in base 3 | [i] | ||
| 66 | No (2, 79, 10)-net in base 3 | [i] | ||
| 67 | No (2, 80, 10)-net in base 3 | [i] | ||
| 68 | No (2, 81, 10)-net in base 3 | [i] | ||
| 69 | No (2, 82, 10)-net in base 3 | [i] | ||
| 70 | No (2, 83, 10)-net in base 3 | [i] | ||
| 71 | No (2, 84, 10)-net in base 3 | [i] | ||
| 72 | No (2, 85, 10)-net in base 3 | [i] | ||
| 73 | No (2, 86, 10)-net in base 3 | [i] | ||
| 74 | No (2, 87, 10)-net in base 3 | [i] | ||
| 75 | No (2, 88, 10)-net in base 3 | [i] | ||
| 76 | No (2, 89, 10)-net in base 3 | [i] | ||
| 77 | No (2, 90, 10)-net in base 3 | [i] | ||
| 78 | No (2, 91, 10)-net in base 3 | [i] | ||
| 79 | No (2, 92, 10)-net in base 3 | [i] | ||
| 80 | No (2, 93, 10)-net in base 3 | [i] | ||
| 81 | No (2, 94, 10)-net in base 3 | [i] | ||
| 82 | No (2, 95, 10)-net in base 3 | [i] | ||
| 83 | No (2, 96, 10)-net in base 3 | [i] | ||
| 84 | No (2, 97, 10)-net in base 3 | [i] | ||
| 85 | No (2, 98, 10)-net in base 3 | [i] | ||
| 86 | No (2, 99, 10)-net in base 3 | [i] | ||
| 87 | No (2, 100, 10)-net in base 3 | [i] | ||
| 88 | No (2, 101, 10)-net in base 3 | [i] | ||
| 89 | No (2, 102, 10)-net in base 3 | [i] | ||
| 90 | No (2, 103, 10)-net in base 3 | [i] | ||
| 91 | No (2, 104, 10)-net in base 3 | [i] | ||
| 92 | No (2, 105, 10)-net in base 3 | [i] | ||
| 93 | No (2, 106, 10)-net in base 3 | [i] | ||
| 94 | No (2, 107, 10)-net in base 3 | [i] | ||
| 95 | No (2, 108, 10)-net in base 3 | [i] | ||
| 96 | No (2, 109, 10)-net in base 3 | [i] | ||
| 97 | No (2, 110, 10)-net in base 3 | [i] | ||
| 98 | No (2, 111, 10)-net in base 3 | [i] | ||
| 99 | No (2, 112, 10)-net in base 3 | [i] | ||
| 100 | No (2, 113, 10)-net in base 3 | [i] | ||
| 101 | No (2, 114, 10)-net in base 3 | [i] | ||
| 102 | No (2, 115, 10)-net in base 3 | [i] | ||
| 103 | No (2, 116, 10)-net in base 3 | [i] | ||
| 104 | No (2, 117, 10)-net in base 3 | [i] | ||
| 105 | No (2, 118, 10)-net in base 3 | [i] | ||
| 106 | No (2, 119, 10)-net in base 3 | [i] | ||
| 107 | No (2, 120, 10)-net in base 3 | [i] | ||
| 108 | No (2, 121, 10)-net in base 3 | [i] | ||
| 109 | No (2, 122, 10)-net in base 3 | [i] | ||
| 110 | No (2, 123, 10)-net in base 3 | [i] | ||
| 111 | No (2, 124, 10)-net in base 3 | [i] | ||
| 112 | No (2, 125, 10)-net in base 3 | [i] | ||
| 113 | No (2, 126, 10)-net in base 3 | [i] | ||
| 114 | No (2, 127, 10)-net in base 3 | [i] | ||
| 115 | No (2, 128, 10)-net in base 3 | [i] | ||
| 116 | No (2, 129, 10)-net in base 3 | [i] | ||
| 117 | No (2, 130, 10)-net in base 3 | [i] | ||
| 118 | No (2, 131, 10)-net in base 3 | [i] | ||
| 119 | No (2, 132, 10)-net in base 3 | [i] | ||
| 120 | No (2, 133, 10)-net in base 3 | [i] | ||
| 121 | No (2, 134, 10)-net in base 3 | [i] | ||
| 122 | No (2, 135, 10)-net in base 3 | [i] | ||
| 123 | No (2, 136, 10)-net in base 3 | [i] | ||
| 124 | No (2, 137, 10)-net in base 3 | [i] | ||
| 125 | No (2, 138, 10)-net in base 3 | [i] | ||
| 126 | No (2, 139, 10)-net in base 3 | [i] | ||
| 127 | No (2, 140, 10)-net in base 3 | [i] | ||
| 128 | No (2, 141, 10)-net in base 3 | [i] | ||
| 129 | No (2, 142, 10)-net in base 3 | [i] | ||
| 130 | No (2, 143, 10)-net in base 3 | [i] | ||
| 131 | No (2, 144, 10)-net in base 3 | [i] | ||
| 132 | No (2, 145, 10)-net in base 3 | [i] | ||
| 133 | No (2, 146, 10)-net in base 3 | [i] | ||
| 134 | No (2, 147, 10)-net in base 3 | [i] | ||
| 135 | No (2, 148, 10)-net in base 3 | [i] | ||
| 136 | No (2, 149, 10)-net in base 3 | [i] | ||
| 137 | No (2, 150, 10)-net in base 3 | [i] | ||
| 138 | No (2, 151, 10)-net in base 3 | [i] | ||
| 139 | No (2, 152, 10)-net in base 3 | [i] | ||
| 140 | No (2, 153, 10)-net in base 3 | [i] | ||
| 141 | No (2, 154, 10)-net in base 3 | [i] | ||
| 142 | No (2, 155, 10)-net in base 3 | [i] | ||
| 143 | No (2, 156, 10)-net in base 3 | [i] | ||
| 144 | No (2, 157, 10)-net in base 3 | [i] | ||
| 145 | No (2, 158, 10)-net in base 3 | [i] | ||
| 146 | No (2, 159, 10)-net in base 3 | [i] | ||
| 147 | No (2, 160, 10)-net in base 3 | [i] | ||
| 148 | No (2, 161, 10)-net in base 3 | [i] | ||
| 149 | No (2, 162, 10)-net in base 3 | [i] | ||
| 150 | No (2, 163, 10)-net in base 3 | [i] | ||
| 151 | No (2, 164, 10)-net in base 3 | [i] | ||
| 152 | No (2, 165, 10)-net in base 3 | [i] | ||
| 153 | No (2, 166, 10)-net in base 3 | [i] | ||
| 154 | No (2, 167, 10)-net in base 3 | [i] | ||
| 155 | No (2, 168, 10)-net in base 3 | [i] | ||
| 156 | No (2, 169, 10)-net in base 3 | [i] | ||
| 157 | No (2, 170, 10)-net in base 3 | [i] | ||
| 158 | No (2, 171, 10)-net in base 3 | [i] | ||
| 159 | No (2, 172, 10)-net in base 3 | [i] | ||
| 160 | No (2, 173, 10)-net in base 3 | [i] | ||
| 161 | No (2, 174, 10)-net in base 3 | [i] | ||
| 162 | No (2, 175, 10)-net in base 3 | [i] | ||
| 163 | No (2, 176, 10)-net in base 3 | [i] | ||
| 164 | No (2, 177, 10)-net in base 3 | [i] | ||
| 165 | No (2, 178, 10)-net in base 3 | [i] | ||
| 166 | No (2, 179, 10)-net in base 3 | [i] | ||
| 167 | No (2, 180, 10)-net in base 3 | [i] | ||
| 168 | No (2, 181, 10)-net in base 3 | [i] | ||
| 169 | No (2, 182, 10)-net in base 3 | [i] | ||
| 170 | No (2, 183, 10)-net in base 3 | [i] | ||
| 171 | No (2, 184, 10)-net in base 3 | [i] | ||
| 172 | No (2, 185, 10)-net in base 3 | [i] | ||
| 173 | No (2, 186, 10)-net in base 3 | [i] | ||
| 174 | No (2, 187, 10)-net in base 3 | [i] | ||
| 175 | No (2, 188, 10)-net in base 3 | [i] | ||
| 176 | No (2, 189, 10)-net in base 3 | [i] | ||
| 177 | No (2, 190, 10)-net in base 3 | [i] | ||
| 178 | No (2, 191, 10)-net in base 3 | [i] | ||
| 179 | No (2, 192, 10)-net in base 3 | [i] | ||
| 180 | No (2, 193, 10)-net in base 3 | [i] | ||
| 181 | No (2, 194, 10)-net in base 3 | [i] | ||
| 182 | No (2, 195, 10)-net in base 3 | [i] | ||
| 183 | No (2, 196, 10)-net in base 3 | [i] | ||
| 184 | No (2, 197, 10)-net in base 3 | [i] | ||
| 185 | No (2, 198, 10)-net in base 3 | [i] | ||
| 186 | No (2, 199, 10)-net in base 3 | [i] | ||
| 187 | No (2, 200, 10)-net in base 3 | [i] | ||
| 188 | No (2, 201, 10)-net in base 3 | [i] | ||
| 189 | No (2, 202, 10)-net in base 3 | [i] | ||
| 190 | No (2, 203, 10)-net in base 3 | [i] | ||
| 191 | No (2, 204, 10)-net in base 3 | [i] | ||
| 192 | No (2, 205, 10)-net in base 3 | [i] | ||
| 193 | No (2, 206, 10)-net in base 3 | [i] | ||
| 194 | No (2, 207, 10)-net in base 3 | [i] | ||
| 195 | No (2, 208, 10)-net in base 3 | [i] | ||
| 196 | No (2, 209, 10)-net in base 3 | [i] | ||
| 197 | No (2, 210, 10)-net in base 3 | [i] | ||
| 198 | No (2, 211, 10)-net in base 3 | [i] | ||
| 199 | No (2, 212, 10)-net in base 3 | [i] | ||
| 200 | No (2, 213, 10)-net in base 3 | [i] | ||
| 201 | No (2, 214, 10)-net in base 3 | [i] | ||
| 202 | No (2, 215, 10)-net in base 3 | [i] | ||
| 203 | No (2, 216, 10)-net in base 3 | [i] | ||
| 204 | No (2, 217, 10)-net in base 3 | [i] | ||
| 205 | No (2, 218, 10)-net in base 3 | [i] | ||
| 206 | No (2, 219, 10)-net in base 3 | [i] | ||
| 207 | No (2, 220, 10)-net in base 3 | [i] | ||
| 208 | No (2, 221, 10)-net in base 3 | [i] | ||
| 209 | No (2, 222, 10)-net in base 3 | [i] | ||
| 210 | No (2, 223, 10)-net in base 3 | [i] | ||
| 211 | No (2, 224, 10)-net in base 3 | [i] | ||
| 212 | No (2, 225, 10)-net in base 3 | [i] | ||
| 213 | No (2, 226, 10)-net in base 3 | [i] | ||
| 214 | No (2, 227, 10)-net in base 3 | [i] | ||
| 215 | No (2, 228, 10)-net in base 3 | [i] | ||
| 216 | No (2, 229, 10)-net in base 3 | [i] | ||
| 217 | No (2, 230, 10)-net in base 3 | [i] | ||
| 218 | No (2, 231, 10)-net in base 3 | [i] | ||
| 219 | No (2, 232, 10)-net in base 3 | [i] | ||
| 220 | No (2, 233, 10)-net in base 3 | [i] | ||
| 221 | No (2, 234, 10)-net in base 3 | [i] | ||
| 222 | No (2, 235, 10)-net in base 3 | [i] | ||
| 223 | No (2, 236, 10)-net in base 3 | [i] | ||
| 224 | No (2, 237, 10)-net in base 3 | [i] | ||
| 225 | No (2, 238, 10)-net in base 3 | [i] | ||
| 226 | No (2, 239, 10)-net in base 3 | [i] | ||
| 227 | No (2, 240, 10)-net in base 3 | [i] | ||
| 228 | No (2, 241, 10)-net in base 3 | [i] | ||
| 229 | No (2, 242, 10)-net in base 3 | [i] | ||
| 230 | No (2, 243, 10)-net in base 3 | [i] | ||
| 231 | No (2, 244, 10)-net in base 3 | [i] | ||
| 232 | No (2, 245, 10)-net in base 3 | [i] | ||
| 233 | No (2, 246, 10)-net in base 3 | [i] | ||
| 234 | No (2, 247, 10)-net in base 3 | [i] | ||
| 235 | No (2, 248, 10)-net in base 3 | [i] | ||
| 236 | No (2, 249, 10)-net in base 3 | [i] | ||
| 237 | No (2, 250, 10)-net in base 3 | [i] | ||
| 238 | No (2, m, 10)-net in base 3 for arbitrarily large m | [i] | m-Reduction from Arbitrarily Large Net | |