Information on Result #521052
There is no (7, 35, 23)-net in base 3, because extracting embedded OOA would yield OOA(335, 23, S3, 2, 28), but
- the linear programming bound for OOAs shows that M ≥ 1 050995 602043 303294 963563 814764 130877 / 19 578586 921145 663665 > 335 [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 (7, 36, 23)-net in base 3 | [i] | m-Reduction | |
| 2 | No (7, 37, 23)-net in base 3 | [i] | ||
| 3 | No (7, 38, 23)-net in base 3 | [i] | ||
| 4 | No (7, 39, 23)-net in base 3 | [i] | ||
| 5 | No (7, 40, 23)-net in base 3 | [i] | ||
| 6 | No (7, 41, 23)-net in base 3 | [i] | ||
| 7 | No (7, 42, 23)-net in base 3 | [i] | ||
| 8 | No (7, 43, 23)-net in base 3 | [i] | ||
| 9 | No (7, 44, 23)-net in base 3 | [i] | ||
| 10 | No (7, 45, 23)-net in base 3 | [i] | ||
| 11 | No (7, 46, 23)-net in base 3 | [i] | ||
| 12 | No (7, 47, 23)-net in base 3 | [i] | ||
| 13 | No (7, 48, 23)-net in base 3 | [i] | ||
| 14 | No (7, 49, 23)-net in base 3 | [i] | ||
| 15 | No (7, 50, 23)-net in base 3 | [i] | ||
| 16 | No (7, 51, 23)-net in base 3 | [i] | ||
| 17 | No (7, 52, 23)-net in base 3 | [i] | ||
| 18 | No (7, 53, 23)-net in base 3 | [i] | ||
| 19 | No (7, 54, 23)-net in base 3 | [i] | ||
| 20 | No (7, 55, 23)-net in base 3 | [i] | ||
| 21 | No (7, 56, 23)-net in base 3 | [i] | ||
| 22 | No (7, 57, 23)-net in base 3 | [i] | ||
| 23 | No (7, 58, 23)-net in base 3 | [i] | ||
| 24 | No (7, 59, 23)-net in base 3 | [i] | ||
| 25 | No (7, 60, 23)-net in base 3 | [i] | ||
| 26 | No (7, 61, 23)-net in base 3 | [i] | ||
| 27 | No (7, 62, 23)-net in base 3 | [i] | ||
| 28 | No (7, 63, 23)-net in base 3 | [i] | ||
| 29 | No (7, 64, 23)-net in base 3 | [i] | ||
| 30 | No (7, 65, 23)-net in base 3 | [i] | ||
| 31 | No (7, 66, 23)-net in base 3 | [i] | ||
| 32 | No (7, 67, 23)-net in base 3 | [i] | ||
| 33 | No (7, 68, 23)-net in base 3 | [i] | ||
| 34 | No (7, 69, 23)-net in base 3 | [i] | ||
| 35 | No (7, 70, 23)-net in base 3 | [i] | ||
| 36 | No (7, 71, 23)-net in base 3 | [i] | ||
| 37 | No (7, 72, 23)-net in base 3 | [i] | ||
| 38 | No (7, 73, 23)-net in base 3 | [i] | ||
| 39 | No (7, 74, 23)-net in base 3 | [i] | ||
| 40 | No (7, 75, 23)-net in base 3 | [i] | ||
| 41 | No (7, 76, 23)-net in base 3 | [i] | ||
| 42 | No (7, 77, 23)-net in base 3 | [i] | ||
| 43 | No (7, 78, 23)-net in base 3 | [i] | ||
| 44 | No (7, 79, 23)-net in base 3 | [i] | ||
| 45 | No (7, 80, 23)-net in base 3 | [i] | ||
| 46 | No (7, 81, 23)-net in base 3 | [i] | ||
| 47 | No (7, 82, 23)-net in base 3 | [i] | ||
| 48 | No (7, 83, 23)-net in base 3 | [i] | ||
| 49 | No (7, 84, 23)-net in base 3 | [i] | ||
| 50 | No (7, 85, 23)-net in base 3 | [i] | ||
| 51 | No (7, 86, 23)-net in base 3 | [i] | ||
| 52 | No (7, 87, 23)-net in base 3 | [i] | ||
| 53 | No (7, 88, 23)-net in base 3 | [i] | ||
| 54 | No (7, 89, 23)-net in base 3 | [i] | ||
| 55 | No (7, 90, 23)-net in base 3 | [i] | ||
| 56 | No (7, 91, 23)-net in base 3 | [i] | ||
| 57 | No (7, 92, 23)-net in base 3 | [i] | ||
| 58 | No (7, 93, 23)-net in base 3 | [i] | ||
| 59 | No (7, 94, 23)-net in base 3 | [i] | ||
| 60 | No (7, 95, 23)-net in base 3 | [i] | ||
| 61 | No (7, 96, 23)-net in base 3 | [i] | ||
| 62 | No (7, 97, 23)-net in base 3 | [i] | ||
| 63 | No (7, 98, 23)-net in base 3 | [i] | ||
| 64 | No (7, 99, 23)-net in base 3 | [i] | ||
| 65 | No (7, 100, 23)-net in base 3 | [i] | ||
| 66 | No (7, 101, 23)-net in base 3 | [i] | ||
| 67 | No (7, 102, 23)-net in base 3 | [i] | ||
| 68 | No (7, 103, 23)-net in base 3 | [i] | ||
| 69 | No (7, 104, 23)-net in base 3 | [i] | ||
| 70 | No (7, 105, 23)-net in base 3 | [i] | ||
| 71 | No (7, 106, 23)-net in base 3 | [i] | ||
| 72 | No (7, 107, 23)-net in base 3 | [i] | ||
| 73 | No (7, 108, 23)-net in base 3 | [i] | ||
| 74 | No (7, 109, 23)-net in base 3 | [i] | ||
| 75 | No (7, 110, 23)-net in base 3 | [i] | ||
| 76 | No (7, 111, 23)-net in base 3 | [i] | ||
| 77 | No (7, 112, 23)-net in base 3 | [i] | ||
| 78 | No (7, 113, 23)-net in base 3 | [i] | ||
| 79 | No (7, 114, 23)-net in base 3 | [i] | ||
| 80 | No (7, 115, 23)-net in base 3 | [i] | ||
| 81 | No (7, 116, 23)-net in base 3 | [i] | ||
| 82 | No (7, 117, 23)-net in base 3 | [i] | ||
| 83 | No (7, 118, 23)-net in base 3 | [i] | ||
| 84 | No (7, 119, 23)-net in base 3 | [i] | ||
| 85 | No (7, 120, 23)-net in base 3 | [i] | ||
| 86 | No (7, 121, 23)-net in base 3 | [i] | ||
| 87 | No (7, 122, 23)-net in base 3 | [i] | ||
| 88 | No (7, 123, 23)-net in base 3 | [i] | ||
| 89 | No (7, 124, 23)-net in base 3 | [i] | ||
| 90 | No (7, 125, 23)-net in base 3 | [i] | ||
| 91 | No (7, 126, 23)-net in base 3 | [i] | ||
| 92 | No (7, 127, 23)-net in base 3 | [i] | ||
| 93 | No (7, 128, 23)-net in base 3 | [i] | ||
| 94 | No (7, 129, 23)-net in base 3 | [i] | ||
| 95 | No (7, 130, 23)-net in base 3 | [i] | ||
| 96 | No (7, 131, 23)-net in base 3 | [i] | ||
| 97 | No (7, 132, 23)-net in base 3 | [i] | ||
| 98 | No (7, 133, 23)-net in base 3 | [i] | ||
| 99 | No (7, 134, 23)-net in base 3 | [i] | ||
| 100 | No (7, 135, 23)-net in base 3 | [i] | ||
| 101 | No (7, 136, 23)-net in base 3 | [i] | ||
| 102 | No (7, 137, 23)-net in base 3 | [i] | ||
| 103 | No (7, 138, 23)-net in base 3 | [i] | ||
| 104 | No (7, 139, 23)-net in base 3 | [i] | ||
| 105 | No (7, 140, 23)-net in base 3 | [i] | ||
| 106 | No (7, 141, 23)-net in base 3 | [i] | ||
| 107 | No (7, 142, 23)-net in base 3 | [i] | ||
| 108 | No (7, 143, 23)-net in base 3 | [i] | ||
| 109 | No (7, 144, 23)-net in base 3 | [i] | ||
| 110 | No (7, 145, 23)-net in base 3 | [i] | ||
| 111 | No (7, 146, 23)-net in base 3 | [i] | ||
| 112 | No (7, 147, 23)-net in base 3 | [i] | ||
| 113 | No (7, 148, 23)-net in base 3 | [i] | ||
| 114 | No (7, 149, 23)-net in base 3 | [i] | ||
| 115 | No (7, 150, 23)-net in base 3 | [i] | ||
| 116 | No (7, 151, 23)-net in base 3 | [i] | ||
| 117 | No (7, 152, 23)-net in base 3 | [i] | ||
| 118 | No (7, 153, 23)-net in base 3 | [i] | ||
| 119 | No (7, 154, 23)-net in base 3 | [i] | ||
| 120 | No (7, 155, 23)-net in base 3 | [i] | ||
| 121 | No (7, 156, 23)-net in base 3 | [i] | ||
| 122 | No (7, 157, 23)-net in base 3 | [i] | ||
| 123 | No (7, 158, 23)-net in base 3 | [i] | ||
| 124 | No (7, 159, 23)-net in base 3 | [i] | ||
| 125 | No (7, 160, 23)-net in base 3 | [i] | ||
| 126 | No (7, 161, 23)-net in base 3 | [i] | ||
| 127 | No (7, 162, 23)-net in base 3 | [i] | ||
| 128 | No (7, 163, 23)-net in base 3 | [i] | ||
| 129 | No (7, 164, 23)-net in base 3 | [i] | ||
| 130 | No (7, 165, 23)-net in base 3 | [i] | ||
| 131 | No (7, 166, 23)-net in base 3 | [i] | ||
| 132 | No (7, 167, 23)-net in base 3 | [i] | ||
| 133 | No (7, 168, 23)-net in base 3 | [i] | ||
| 134 | No (7, 169, 23)-net in base 3 | [i] | ||
| 135 | No (7, 170, 23)-net in base 3 | [i] | ||
| 136 | No (7, 171, 23)-net in base 3 | [i] | ||
| 137 | No (7, 172, 23)-net in base 3 | [i] | ||
| 138 | No (7, 173, 23)-net in base 3 | [i] | ||
| 139 | No (7, 174, 23)-net in base 3 | [i] | ||
| 140 | No (7, 175, 23)-net in base 3 | [i] | ||
| 141 | No (7, 176, 23)-net in base 3 | [i] | ||
| 142 | No (7, 177, 23)-net in base 3 | [i] | ||
| 143 | No (7, 178, 23)-net in base 3 | [i] | ||
| 144 | No (7, 179, 23)-net in base 3 | [i] | ||
| 145 | No (7, 180, 23)-net in base 3 | [i] | ||
| 146 | No (7, 181, 23)-net in base 3 | [i] | ||
| 147 | No (7, 182, 23)-net in base 3 | [i] | ||
| 148 | No (7, 183, 23)-net in base 3 | [i] | ||
| 149 | No (7, 184, 23)-net in base 3 | [i] | ||
| 150 | No (7, 185, 23)-net in base 3 | [i] | ||
| 151 | No (7, 186, 23)-net in base 3 | [i] | ||
| 152 | No (7, 187, 23)-net in base 3 | [i] | ||
| 153 | No (7, 188, 23)-net in base 3 | [i] | ||
| 154 | No (7, 189, 23)-net in base 3 | [i] | ||
| 155 | No (7, 190, 23)-net in base 3 | [i] | ||
| 156 | No (7, 191, 23)-net in base 3 | [i] | ||
| 157 | No (7, 192, 23)-net in base 3 | [i] | ||
| 158 | No (7, 193, 23)-net in base 3 | [i] | ||
| 159 | No (7, 194, 23)-net in base 3 | [i] | ||
| 160 | No (7, 195, 23)-net in base 3 | [i] | ||
| 161 | No (7, 196, 23)-net in base 3 | [i] | ||
| 162 | No (7, 197, 23)-net in base 3 | [i] | ||
| 163 | No (7, 198, 23)-net in base 3 | [i] | ||
| 164 | No (7, 199, 23)-net in base 3 | [i] | ||
| 165 | No (7, 200, 23)-net in base 3 | [i] | ||
| 166 | No (7, 201, 23)-net in base 3 | [i] | ||
| 167 | No (7, 202, 23)-net in base 3 | [i] | ||
| 168 | No (7, 203, 23)-net in base 3 | [i] | ||
| 169 | No (7, 204, 23)-net in base 3 | [i] | ||
| 170 | No (7, 205, 23)-net in base 3 | [i] | ||
| 171 | No (7, 206, 23)-net in base 3 | [i] | ||
| 172 | No (7, 207, 23)-net in base 3 | [i] | ||
| 173 | No (7, 208, 23)-net in base 3 | [i] | ||
| 174 | No (7, 209, 23)-net in base 3 | [i] | ||
| 175 | No (7, 210, 23)-net in base 3 | [i] | ||
| 176 | No (7, 211, 23)-net in base 3 | [i] | ||
| 177 | No (7, 212, 23)-net in base 3 | [i] | ||
| 178 | No (7, 213, 23)-net in base 3 | [i] | ||
| 179 | No (7, 214, 23)-net in base 3 | [i] | ||
| 180 | No (7, 215, 23)-net in base 3 | [i] | ||
| 181 | No (7, 216, 23)-net in base 3 | [i] | ||
| 182 | No (7, 217, 23)-net in base 3 | [i] | ||
| 183 | No (7, 218, 23)-net in base 3 | [i] | ||
| 184 | No (7, 219, 23)-net in base 3 | [i] | ||
| 185 | No (7, 220, 23)-net in base 3 | [i] | ||
| 186 | No (7, 221, 23)-net in base 3 | [i] | ||
| 187 | No (7, 222, 23)-net in base 3 | [i] | ||
| 188 | No (7, 223, 23)-net in base 3 | [i] | ||
| 189 | No (7, 224, 23)-net in base 3 | [i] | ||
| 190 | No (7, 225, 23)-net in base 3 | [i] | ||
| 191 | No (7, 226, 23)-net in base 3 | [i] | ||
| 192 | No (7, 227, 23)-net in base 3 | [i] | ||
| 193 | No (7, 228, 23)-net in base 3 | [i] | ||
| 194 | No (7, 229, 23)-net in base 3 | [i] | ||
| 195 | No (7, 230, 23)-net in base 3 | [i] | ||
| 196 | No (7, 231, 23)-net in base 3 | [i] | ||
| 197 | No (7, 232, 23)-net in base 3 | [i] | ||
| 198 | No (7, 233, 23)-net in base 3 | [i] | ||
| 199 | No (7, 234, 23)-net in base 3 | [i] | ||
| 200 | No (7, 235, 23)-net in base 3 | [i] | ||
| 201 | No (7, 236, 23)-net in base 3 | [i] | ||
| 202 | No (7, 237, 23)-net in base 3 | [i] | ||
| 203 | No (7, 238, 23)-net in base 3 | [i] | ||
| 204 | No (7, 239, 23)-net in base 3 | [i] | ||
| 205 | No (7, 240, 23)-net in base 3 | [i] | ||
| 206 | No (7, 241, 23)-net in base 3 | [i] | ||
| 207 | No (7, 242, 23)-net in base 3 | [i] | ||
| 208 | No (7, 243, 23)-net in base 3 | [i] | ||
| 209 | No (7, 244, 23)-net in base 3 | [i] | ||
| 210 | No (7, 245, 23)-net in base 3 | [i] | ||
| 211 | No (7, 246, 23)-net in base 3 | [i] | ||
| 212 | No (7, 247, 23)-net in base 3 | [i] | ||
| 213 | No (7, 248, 23)-net in base 3 | [i] | ||
| 214 | No (7, 249, 23)-net in base 3 | [i] | ||
| 215 | No (7, 250, 23)-net in base 3 | [i] | ||
| 216 | No (7, m, 23)-net in base 3 for arbitrarily large m | [i] | m-Reduction from Arbitrarily Large Net | |