Information on Result #521779
There is no (3, 20, 17)-net in base 4, because extracting embedded OOA would yield OOA(420, 17, S4, 2, 17), but
- the linear programming bound for OOAs shows that M ≥ 3 573412 790272 / 3 > 420 [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 (3, 21, 17)-net in base 4 | [i] | m-Reduction | |
| 2 | No (3, 22, 17)-net in base 4 | [i] | ||
| 3 | No (3, 23, 17)-net in base 4 | [i] | ||
| 4 | No (3, 24, 17)-net in base 4 | [i] | ||
| 5 | No (3, 25, 17)-net in base 4 | [i] | ||
| 6 | No (3, 26, 17)-net in base 4 | [i] | ||
| 7 | No (3, 27, 17)-net in base 4 | [i] | ||
| 8 | No (3, 28, 17)-net in base 4 | [i] | ||
| 9 | No (3, 29, 17)-net in base 4 | [i] | ||
| 10 | No (3, 30, 17)-net in base 4 | [i] | ||
| 11 | No (3, 31, 17)-net in base 4 | [i] | ||
| 12 | No (3, 32, 17)-net in base 4 | [i] | ||
| 13 | No (3, 33, 17)-net in base 4 | [i] | ||
| 14 | No (3, 34, 17)-net in base 4 | [i] | ||
| 15 | No (3, 35, 17)-net in base 4 | [i] | ||
| 16 | No (3, 36, 17)-net in base 4 | [i] | ||
| 17 | No (3, 37, 17)-net in base 4 | [i] | ||
| 18 | No (3, 38, 17)-net in base 4 | [i] | ||
| 19 | No (3, 39, 17)-net in base 4 | [i] | ||
| 20 | No (3, 40, 17)-net in base 4 | [i] | ||
| 21 | No (3, 41, 17)-net in base 4 | [i] | ||
| 22 | No (3, 42, 17)-net in base 4 | [i] | ||
| 23 | No (3, 43, 17)-net in base 4 | [i] | ||
| 24 | No (3, 44, 17)-net in base 4 | [i] | ||
| 25 | No (3, 45, 17)-net in base 4 | [i] | ||
| 26 | No (3, 46, 17)-net in base 4 | [i] | ||
| 27 | No (3, 47, 17)-net in base 4 | [i] | ||
| 28 | No (3, 48, 17)-net in base 4 | [i] | ||
| 29 | No (3, 49, 17)-net in base 4 | [i] | ||
| 30 | No (3, 50, 17)-net in base 4 | [i] | ||
| 31 | No (3, 51, 17)-net in base 4 | [i] | ||
| 32 | No (3, 52, 17)-net in base 4 | [i] | ||
| 33 | No (3, 53, 17)-net in base 4 | [i] | ||
| 34 | No (3, 54, 17)-net in base 4 | [i] | ||
| 35 | No (3, 55, 17)-net in base 4 | [i] | ||
| 36 | No (3, 56, 17)-net in base 4 | [i] | ||
| 37 | No (3, 57, 17)-net in base 4 | [i] | ||
| 38 | No (3, 58, 17)-net in base 4 | [i] | ||
| 39 | No (3, 59, 17)-net in base 4 | [i] | ||
| 40 | No (3, 60, 17)-net in base 4 | [i] | ||
| 41 | No (3, 61, 17)-net in base 4 | [i] | ||
| 42 | No (3, 62, 17)-net in base 4 | [i] | ||
| 43 | No (3, 63, 17)-net in base 4 | [i] | ||
| 44 | No (3, 64, 17)-net in base 4 | [i] | ||
| 45 | No (3, 65, 17)-net in base 4 | [i] | ||
| 46 | No (3, 66, 17)-net in base 4 | [i] | ||
| 47 | No (3, 67, 17)-net in base 4 | [i] | ||
| 48 | No (3, 68, 17)-net in base 4 | [i] | ||
| 49 | No (3, 69, 17)-net in base 4 | [i] | ||
| 50 | No (3, 70, 17)-net in base 4 | [i] | ||
| 51 | No (3, 71, 17)-net in base 4 | [i] | ||
| 52 | No (3, 72, 17)-net in base 4 | [i] | ||
| 53 | No (3, 73, 17)-net in base 4 | [i] | ||
| 54 | No (3, 74, 17)-net in base 4 | [i] | ||
| 55 | No (3, 75, 17)-net in base 4 | [i] | ||
| 56 | No (3, 76, 17)-net in base 4 | [i] | ||
| 57 | No (3, 77, 17)-net in base 4 | [i] | ||
| 58 | No (3, 78, 17)-net in base 4 | [i] | ||
| 59 | No (3, 79, 17)-net in base 4 | [i] | ||
| 60 | No (3, 80, 17)-net in base 4 | [i] | ||
| 61 | No (3, 81, 17)-net in base 4 | [i] | ||
| 62 | No (3, 82, 17)-net in base 4 | [i] | ||
| 63 | No (3, 83, 17)-net in base 4 | [i] | ||
| 64 | No (3, 84, 17)-net in base 4 | [i] | ||
| 65 | No (3, 85, 17)-net in base 4 | [i] | ||
| 66 | No (3, 86, 17)-net in base 4 | [i] | ||
| 67 | No (3, 87, 17)-net in base 4 | [i] | ||
| 68 | No (3, 88, 17)-net in base 4 | [i] | ||
| 69 | No (3, 89, 17)-net in base 4 | [i] | ||
| 70 | No (3, 90, 17)-net in base 4 | [i] | ||
| 71 | No (3, 91, 17)-net in base 4 | [i] | ||
| 72 | No (3, 92, 17)-net in base 4 | [i] | ||
| 73 | No (3, 93, 17)-net in base 4 | [i] | ||
| 74 | No (3, 94, 17)-net in base 4 | [i] | ||
| 75 | No (3, 95, 17)-net in base 4 | [i] | ||
| 76 | No (3, 96, 17)-net in base 4 | [i] | ||
| 77 | No (3, 97, 17)-net in base 4 | [i] | ||
| 78 | No (3, 98, 17)-net in base 4 | [i] | ||
| 79 | No (3, 99, 17)-net in base 4 | [i] | ||
| 80 | No (3, 100, 17)-net in base 4 | [i] | ||
| 81 | No (3, 101, 17)-net in base 4 | [i] | ||
| 82 | No (3, 102, 17)-net in base 4 | [i] | ||
| 83 | No (3, 103, 17)-net in base 4 | [i] | ||
| 84 | No (3, 104, 17)-net in base 4 | [i] | ||
| 85 | No (3, 105, 17)-net in base 4 | [i] | ||
| 86 | No (3, 106, 17)-net in base 4 | [i] | ||
| 87 | No (3, 107, 17)-net in base 4 | [i] | ||
| 88 | No (3, 108, 17)-net in base 4 | [i] | ||
| 89 | No (3, 109, 17)-net in base 4 | [i] | ||
| 90 | No (3, 110, 17)-net in base 4 | [i] | ||
| 91 | No (3, 111, 17)-net in base 4 | [i] | ||
| 92 | No (3, 112, 17)-net in base 4 | [i] | ||
| 93 | No (3, 113, 17)-net in base 4 | [i] | ||
| 94 | No (3, 114, 17)-net in base 4 | [i] | ||
| 95 | No (3, 115, 17)-net in base 4 | [i] | ||
| 96 | No (3, 116, 17)-net in base 4 | [i] | ||
| 97 | No (3, 117, 17)-net in base 4 | [i] | ||
| 98 | No (3, 118, 17)-net in base 4 | [i] | ||
| 99 | No (3, 119, 17)-net in base 4 | [i] | ||
| 100 | No (3, 120, 17)-net in base 4 | [i] | ||
| 101 | No (3, 121, 17)-net in base 4 | [i] | ||
| 102 | No (3, 122, 17)-net in base 4 | [i] | ||
| 103 | No (3, 123, 17)-net in base 4 | [i] | ||
| 104 | No (3, 124, 17)-net in base 4 | [i] | ||
| 105 | No (3, 125, 17)-net in base 4 | [i] | ||
| 106 | No (3, 126, 17)-net in base 4 | [i] | ||
| 107 | No (3, 127, 17)-net in base 4 | [i] | ||
| 108 | No (3, 128, 17)-net in base 4 | [i] | ||
| 109 | No (3, 129, 17)-net in base 4 | [i] | ||
| 110 | No (3, 130, 17)-net in base 4 | [i] | ||
| 111 | No (3, 131, 17)-net in base 4 | [i] | ||
| 112 | No (3, 132, 17)-net in base 4 | [i] | ||
| 113 | No (3, 133, 17)-net in base 4 | [i] | ||
| 114 | No (3, 134, 17)-net in base 4 | [i] | ||
| 115 | No (3, 135, 17)-net in base 4 | [i] | ||
| 116 | No (3, 136, 17)-net in base 4 | [i] | ||
| 117 | No (3, 137, 17)-net in base 4 | [i] | ||
| 118 | No (3, 138, 17)-net in base 4 | [i] | ||
| 119 | No (3, 139, 17)-net in base 4 | [i] | ||
| 120 | No (3, 140, 17)-net in base 4 | [i] | ||
| 121 | No (3, 141, 17)-net in base 4 | [i] | ||
| 122 | No (3, 142, 17)-net in base 4 | [i] | ||
| 123 | No (3, 143, 17)-net in base 4 | [i] | ||
| 124 | No (3, 144, 17)-net in base 4 | [i] | ||
| 125 | No (3, 145, 17)-net in base 4 | [i] | ||
| 126 | No (3, 146, 17)-net in base 4 | [i] | ||
| 127 | No (3, 147, 17)-net in base 4 | [i] | ||
| 128 | No (3, 148, 17)-net in base 4 | [i] | ||
| 129 | No (3, 149, 17)-net in base 4 | [i] | ||
| 130 | No (3, 150, 17)-net in base 4 | [i] | ||
| 131 | No (3, 151, 17)-net in base 4 | [i] | ||
| 132 | No (3, 152, 17)-net in base 4 | [i] | ||
| 133 | No (3, 153, 17)-net in base 4 | [i] | ||
| 134 | No (3, 154, 17)-net in base 4 | [i] | ||
| 135 | No (3, 155, 17)-net in base 4 | [i] | ||
| 136 | No (3, 156, 17)-net in base 4 | [i] | ||
| 137 | No (3, 157, 17)-net in base 4 | [i] | ||
| 138 | No (3, 158, 17)-net in base 4 | [i] | ||
| 139 | No (3, 159, 17)-net in base 4 | [i] | ||
| 140 | No (3, 160, 17)-net in base 4 | [i] | ||
| 141 | No (3, 161, 17)-net in base 4 | [i] | ||
| 142 | No (3, 162, 17)-net in base 4 | [i] | ||
| 143 | No (3, 163, 17)-net in base 4 | [i] | ||
| 144 | No (3, 164, 17)-net in base 4 | [i] | ||
| 145 | No (3, 165, 17)-net in base 4 | [i] | ||
| 146 | No (3, 166, 17)-net in base 4 | [i] | ||
| 147 | No (3, 167, 17)-net in base 4 | [i] | ||
| 148 | No (3, 168, 17)-net in base 4 | [i] | ||
| 149 | No (3, 169, 17)-net in base 4 | [i] | ||
| 150 | No (3, 170, 17)-net in base 4 | [i] | ||
| 151 | No (3, 171, 17)-net in base 4 | [i] | ||
| 152 | No (3, 172, 17)-net in base 4 | [i] | ||
| 153 | No (3, 173, 17)-net in base 4 | [i] | ||
| 154 | No (3, 174, 17)-net in base 4 | [i] | ||
| 155 | No (3, 175, 17)-net in base 4 | [i] | ||
| 156 | No (3, 176, 17)-net in base 4 | [i] | ||
| 157 | No (3, 177, 17)-net in base 4 | [i] | ||
| 158 | No (3, 178, 17)-net in base 4 | [i] | ||
| 159 | No (3, 179, 17)-net in base 4 | [i] | ||
| 160 | No (3, 180, 17)-net in base 4 | [i] | ||
| 161 | No (3, 181, 17)-net in base 4 | [i] | ||
| 162 | No (3, 182, 17)-net in base 4 | [i] | ||
| 163 | No (3, 183, 17)-net in base 4 | [i] | ||
| 164 | No (3, 184, 17)-net in base 4 | [i] | ||
| 165 | No (3, 185, 17)-net in base 4 | [i] | ||
| 166 | No (3, 186, 17)-net in base 4 | [i] | ||
| 167 | No (3, 187, 17)-net in base 4 | [i] | ||
| 168 | No (3, 188, 17)-net in base 4 | [i] | ||
| 169 | No (3, 189, 17)-net in base 4 | [i] | ||
| 170 | No (3, 190, 17)-net in base 4 | [i] | ||
| 171 | No (3, 191, 17)-net in base 4 | [i] | ||
| 172 | No (3, 192, 17)-net in base 4 | [i] | ||
| 173 | No (3, 193, 17)-net in base 4 | [i] | ||
| 174 | No (3, 194, 17)-net in base 4 | [i] | ||
| 175 | No (3, 195, 17)-net in base 4 | [i] | ||
| 176 | No (3, 196, 17)-net in base 4 | [i] | ||
| 177 | No (3, 197, 17)-net in base 4 | [i] | ||
| 178 | No (3, 198, 17)-net in base 4 | [i] | ||
| 179 | No (3, 199, 17)-net in base 4 | [i] | ||
| 180 | No (3, 200, 17)-net in base 4 | [i] | ||
| 181 | No (3, 201, 17)-net in base 4 | [i] | ||
| 182 | No (3, 202, 17)-net in base 4 | [i] | ||
| 183 | No (3, 203, 17)-net in base 4 | [i] | ||
| 184 | No (3, 204, 17)-net in base 4 | [i] | ||
| 185 | No (3, 205, 17)-net in base 4 | [i] | ||
| 186 | No (3, 206, 17)-net in base 4 | [i] | ||
| 187 | No (3, 207, 17)-net in base 4 | [i] | ||
| 188 | No (3, 208, 17)-net in base 4 | [i] | ||
| 189 | No (3, 209, 17)-net in base 4 | [i] | ||
| 190 | No (3, 210, 17)-net in base 4 | [i] | ||
| 191 | No (3, 211, 17)-net in base 4 | [i] | ||
| 192 | No (3, 212, 17)-net in base 4 | [i] | ||
| 193 | No (3, 213, 17)-net in base 4 | [i] | ||
| 194 | No (3, 214, 17)-net in base 4 | [i] | ||
| 195 | No (3, 215, 17)-net in base 4 | [i] | ||
| 196 | No (3, 216, 17)-net in base 4 | [i] | ||
| 197 | No (3, 217, 17)-net in base 4 | [i] | ||
| 198 | No (3, 218, 17)-net in base 4 | [i] | ||
| 199 | No (3, 219, 17)-net in base 4 | [i] | ||
| 200 | No (3, 220, 17)-net in base 4 | [i] | ||
| 201 | No (3, 221, 17)-net in base 4 | [i] | ||
| 202 | No (3, 222, 17)-net in base 4 | [i] | ||
| 203 | No (3, 223, 17)-net in base 4 | [i] | ||
| 204 | No (3, 224, 17)-net in base 4 | [i] | ||
| 205 | No (3, 225, 17)-net in base 4 | [i] | ||
| 206 | No (3, 226, 17)-net in base 4 | [i] | ||
| 207 | No (3, 227, 17)-net in base 4 | [i] | ||
| 208 | No (3, 228, 17)-net in base 4 | [i] | ||
| 209 | No (3, 229, 17)-net in base 4 | [i] | ||
| 210 | No (3, 230, 17)-net in base 4 | [i] | ||
| 211 | No (3, 231, 17)-net in base 4 | [i] | ||
| 212 | No (3, 232, 17)-net in base 4 | [i] | ||
| 213 | No (3, 233, 17)-net in base 4 | [i] | ||
| 214 | No (3, 234, 17)-net in base 4 | [i] | ||
| 215 | No (3, 235, 17)-net in base 4 | [i] | ||
| 216 | No (3, 236, 17)-net in base 4 | [i] | ||
| 217 | No (3, 237, 17)-net in base 4 | [i] | ||
| 218 | No (3, 238, 17)-net in base 4 | [i] | ||
| 219 | No (3, 239, 17)-net in base 4 | [i] | ||
| 220 | No (3, 240, 17)-net in base 4 | [i] | ||
| 221 | No (3, 241, 17)-net in base 4 | [i] | ||
| 222 | No (3, 242, 17)-net in base 4 | [i] | ||
| 223 | No (3, 243, 17)-net in base 4 | [i] | ||
| 224 | No (3, 244, 17)-net in base 4 | [i] | ||
| 225 | No (3, 245, 17)-net in base 4 | [i] | ||
| 226 | No (3, 246, 17)-net in base 4 | [i] | ||
| 227 | No (3, 247, 17)-net in base 4 | [i] | ||
| 228 | No (3, 248, 17)-net in base 4 | [i] | ||
| 229 | No (3, 249, 17)-net in base 4 | [i] | ||
| 230 | No (3, 250, 17)-net in base 4 | [i] | ||
| 231 | No (3, 251, 17)-net in base 4 | [i] | ||
| 232 | No (3, 252, 17)-net in base 4 | [i] | ||
| 233 | No (3, 253, 17)-net in base 4 | [i] | ||
| 234 | No (3, 254, 17)-net in base 4 | [i] | ||
| 235 | No (3, 255, 17)-net in base 4 | [i] | ||
| 236 | No (3, 256, 17)-net in base 4 | [i] | ||
| 237 | No (3, 257, 17)-net in base 4 | [i] | ||
| 238 | No (3, 258, 17)-net in base 4 | [i] | ||
| 239 | No (3, 259, 17)-net in base 4 | [i] | ||
| 240 | No (3, 260, 17)-net in base 4 | [i] | ||
| 241 | No (3, m, 17)-net in base 4 for arbitrarily large m | [i] | m-Reduction from Arbitrarily Large Net | |