Information on Result #521788
There is no (4, 24, 21)-net in base 4, because extracting embedded OOA would yield OOA(424, 21, S4, 2, 20), but
- the linear programming bound for OOAs shows that M ≥ 106960 491150 049280 / 311 > 424 [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 (4, 25, 21)-net in base 4 | [i] | m-Reduction | |
| 2 | No (4, 26, 21)-net in base 4 | [i] | ||
| 3 | No (4, 27, 21)-net in base 4 | [i] | ||
| 4 | No (4, 28, 21)-net in base 4 | [i] | ||
| 5 | No (4, 29, 21)-net in base 4 | [i] | ||
| 6 | No (4, 30, 21)-net in base 4 | [i] | ||
| 7 | No (4, 31, 21)-net in base 4 | [i] | ||
| 8 | No (4, 32, 21)-net in base 4 | [i] | ||
| 9 | No (4, 33, 21)-net in base 4 | [i] | ||
| 10 | No (4, 34, 21)-net in base 4 | [i] | ||
| 11 | No (4, 35, 21)-net in base 4 | [i] | ||
| 12 | No (4, 36, 21)-net in base 4 | [i] | ||
| 13 | No (4, 37, 21)-net in base 4 | [i] | ||
| 14 | No (4, 38, 21)-net in base 4 | [i] | ||
| 15 | No (4, 39, 21)-net in base 4 | [i] | ||
| 16 | No (4, 40, 21)-net in base 4 | [i] | ||
| 17 | No (4, 41, 21)-net in base 4 | [i] | ||
| 18 | No (4, 42, 21)-net in base 4 | [i] | ||
| 19 | No (4, 43, 21)-net in base 4 | [i] | ||
| 20 | No (4, 44, 21)-net in base 4 | [i] | ||
| 21 | No (4, 45, 21)-net in base 4 | [i] | ||
| 22 | No (4, 46, 21)-net in base 4 | [i] | ||
| 23 | No (4, 47, 21)-net in base 4 | [i] | ||
| 24 | No (4, 48, 21)-net in base 4 | [i] | ||
| 25 | No (4, 49, 21)-net in base 4 | [i] | ||
| 26 | No (4, 50, 21)-net in base 4 | [i] | ||
| 27 | No (4, 51, 21)-net in base 4 | [i] | ||
| 28 | No (4, 52, 21)-net in base 4 | [i] | ||
| 29 | No (4, 53, 21)-net in base 4 | [i] | ||
| 30 | No (4, 54, 21)-net in base 4 | [i] | ||
| 31 | No (4, 55, 21)-net in base 4 | [i] | ||
| 32 | No (4, 56, 21)-net in base 4 | [i] | ||
| 33 | No (4, 57, 21)-net in base 4 | [i] | ||
| 34 | No (4, 58, 21)-net in base 4 | [i] | ||
| 35 | No (4, 59, 21)-net in base 4 | [i] | ||
| 36 | No (4, 60, 21)-net in base 4 | [i] | ||
| 37 | No (4, 61, 21)-net in base 4 | [i] | ||
| 38 | No (4, 62, 21)-net in base 4 | [i] | ||
| 39 | No (4, 63, 21)-net in base 4 | [i] | ||
| 40 | No (4, 64, 21)-net in base 4 | [i] | ||
| 41 | No (4, 65, 21)-net in base 4 | [i] | ||
| 42 | No (4, 66, 21)-net in base 4 | [i] | ||
| 43 | No (4, 67, 21)-net in base 4 | [i] | ||
| 44 | No (4, 68, 21)-net in base 4 | [i] | ||
| 45 | No (4, 69, 21)-net in base 4 | [i] | ||
| 46 | No (4, 70, 21)-net in base 4 | [i] | ||
| 47 | No (4, 71, 21)-net in base 4 | [i] | ||
| 48 | No (4, 72, 21)-net in base 4 | [i] | ||
| 49 | No (4, 73, 21)-net in base 4 | [i] | ||
| 50 | No (4, 74, 21)-net in base 4 | [i] | ||
| 51 | No (4, 75, 21)-net in base 4 | [i] | ||
| 52 | No (4, 76, 21)-net in base 4 | [i] | ||
| 53 | No (4, 77, 21)-net in base 4 | [i] | ||
| 54 | No (4, 78, 21)-net in base 4 | [i] | ||
| 55 | No (4, 79, 21)-net in base 4 | [i] | ||
| 56 | No (4, 80, 21)-net in base 4 | [i] | ||
| 57 | No (4, 81, 21)-net in base 4 | [i] | ||
| 58 | No (4, 82, 21)-net in base 4 | [i] | ||
| 59 | No (4, 83, 21)-net in base 4 | [i] | ||
| 60 | No (4, 84, 21)-net in base 4 | [i] | ||
| 61 | No (4, 85, 21)-net in base 4 | [i] | ||
| 62 | No (4, 86, 21)-net in base 4 | [i] | ||
| 63 | No (4, 87, 21)-net in base 4 | [i] | ||
| 64 | No (4, 88, 21)-net in base 4 | [i] | ||
| 65 | No (4, 89, 21)-net in base 4 | [i] | ||
| 66 | No (4, 90, 21)-net in base 4 | [i] | ||
| 67 | No (4, 91, 21)-net in base 4 | [i] | ||
| 68 | No (4, 92, 21)-net in base 4 | [i] | ||
| 69 | No (4, 93, 21)-net in base 4 | [i] | ||
| 70 | No (4, 94, 21)-net in base 4 | [i] | ||
| 71 | No (4, 95, 21)-net in base 4 | [i] | ||
| 72 | No (4, 96, 21)-net in base 4 | [i] | ||
| 73 | No (4, 97, 21)-net in base 4 | [i] | ||
| 74 | No (4, 98, 21)-net in base 4 | [i] | ||
| 75 | No (4, 99, 21)-net in base 4 | [i] | ||
| 76 | No (4, 100, 21)-net in base 4 | [i] | ||
| 77 | No (4, 101, 21)-net in base 4 | [i] | ||
| 78 | No (4, 102, 21)-net in base 4 | [i] | ||
| 79 | No (4, 103, 21)-net in base 4 | [i] | ||
| 80 | No (4, 104, 21)-net in base 4 | [i] | ||
| 81 | No (4, 105, 21)-net in base 4 | [i] | ||
| 82 | No (4, 106, 21)-net in base 4 | [i] | ||
| 83 | No (4, 107, 21)-net in base 4 | [i] | ||
| 84 | No (4, 108, 21)-net in base 4 | [i] | ||
| 85 | No (4, 109, 21)-net in base 4 | [i] | ||
| 86 | No (4, 110, 21)-net in base 4 | [i] | ||
| 87 | No (4, 111, 21)-net in base 4 | [i] | ||
| 88 | No (4, 112, 21)-net in base 4 | [i] | ||
| 89 | No (4, 113, 21)-net in base 4 | [i] | ||
| 90 | No (4, 114, 21)-net in base 4 | [i] | ||
| 91 | No (4, 115, 21)-net in base 4 | [i] | ||
| 92 | No (4, 116, 21)-net in base 4 | [i] | ||
| 93 | No (4, 117, 21)-net in base 4 | [i] | ||
| 94 | No (4, 118, 21)-net in base 4 | [i] | ||
| 95 | No (4, 119, 21)-net in base 4 | [i] | ||
| 96 | No (4, 120, 21)-net in base 4 | [i] | ||
| 97 | No (4, 121, 21)-net in base 4 | [i] | ||
| 98 | No (4, 122, 21)-net in base 4 | [i] | ||
| 99 | No (4, 123, 21)-net in base 4 | [i] | ||
| 100 | No (4, 124, 21)-net in base 4 | [i] | ||
| 101 | No (4, 125, 21)-net in base 4 | [i] | ||
| 102 | No (4, 126, 21)-net in base 4 | [i] | ||
| 103 | No (4, 127, 21)-net in base 4 | [i] | ||
| 104 | No (4, 128, 21)-net in base 4 | [i] | ||
| 105 | No (4, 129, 21)-net in base 4 | [i] | ||
| 106 | No (4, 130, 21)-net in base 4 | [i] | ||
| 107 | No (4, 131, 21)-net in base 4 | [i] | ||
| 108 | No (4, 132, 21)-net in base 4 | [i] | ||
| 109 | No (4, 133, 21)-net in base 4 | [i] | ||
| 110 | No (4, 134, 21)-net in base 4 | [i] | ||
| 111 | No (4, 135, 21)-net in base 4 | [i] | ||
| 112 | No (4, 136, 21)-net in base 4 | [i] | ||
| 113 | No (4, 137, 21)-net in base 4 | [i] | ||
| 114 | No (4, 138, 21)-net in base 4 | [i] | ||
| 115 | No (4, 139, 21)-net in base 4 | [i] | ||
| 116 | No (4, 140, 21)-net in base 4 | [i] | ||
| 117 | No (4, 141, 21)-net in base 4 | [i] | ||
| 118 | No (4, 142, 21)-net in base 4 | [i] | ||
| 119 | No (4, 143, 21)-net in base 4 | [i] | ||
| 120 | No (4, 144, 21)-net in base 4 | [i] | ||
| 121 | No (4, 145, 21)-net in base 4 | [i] | ||
| 122 | No (4, 146, 21)-net in base 4 | [i] | ||
| 123 | No (4, 147, 21)-net in base 4 | [i] | ||
| 124 | No (4, 148, 21)-net in base 4 | [i] | ||
| 125 | No (4, 149, 21)-net in base 4 | [i] | ||
| 126 | No (4, 150, 21)-net in base 4 | [i] | ||
| 127 | No (4, 151, 21)-net in base 4 | [i] | ||
| 128 | No (4, 152, 21)-net in base 4 | [i] | ||
| 129 | No (4, 153, 21)-net in base 4 | [i] | ||
| 130 | No (4, 154, 21)-net in base 4 | [i] | ||
| 131 | No (4, 155, 21)-net in base 4 | [i] | ||
| 132 | No (4, 156, 21)-net in base 4 | [i] | ||
| 133 | No (4, 157, 21)-net in base 4 | [i] | ||
| 134 | No (4, 158, 21)-net in base 4 | [i] | ||
| 135 | No (4, 159, 21)-net in base 4 | [i] | ||
| 136 | No (4, 160, 21)-net in base 4 | [i] | ||
| 137 | No (4, 161, 21)-net in base 4 | [i] | ||
| 138 | No (4, 162, 21)-net in base 4 | [i] | ||
| 139 | No (4, 163, 21)-net in base 4 | [i] | ||
| 140 | No (4, 164, 21)-net in base 4 | [i] | ||
| 141 | No (4, 165, 21)-net in base 4 | [i] | ||
| 142 | No (4, 166, 21)-net in base 4 | [i] | ||
| 143 | No (4, 167, 21)-net in base 4 | [i] | ||
| 144 | No (4, 168, 21)-net in base 4 | [i] | ||
| 145 | No (4, 169, 21)-net in base 4 | [i] | ||
| 146 | No (4, 170, 21)-net in base 4 | [i] | ||
| 147 | No (4, 171, 21)-net in base 4 | [i] | ||
| 148 | No (4, 172, 21)-net in base 4 | [i] | ||
| 149 | No (4, 173, 21)-net in base 4 | [i] | ||
| 150 | No (4, 174, 21)-net in base 4 | [i] | ||
| 151 | No (4, 175, 21)-net in base 4 | [i] | ||
| 152 | No (4, 176, 21)-net in base 4 | [i] | ||
| 153 | No (4, 177, 21)-net in base 4 | [i] | ||
| 154 | No (4, 178, 21)-net in base 4 | [i] | ||
| 155 | No (4, 179, 21)-net in base 4 | [i] | ||
| 156 | No (4, 180, 21)-net in base 4 | [i] | ||
| 157 | No (4, 181, 21)-net in base 4 | [i] | ||
| 158 | No (4, 182, 21)-net in base 4 | [i] | ||
| 159 | No (4, 183, 21)-net in base 4 | [i] | ||
| 160 | No (4, 184, 21)-net in base 4 | [i] | ||
| 161 | No (4, 185, 21)-net in base 4 | [i] | ||
| 162 | No (4, 186, 21)-net in base 4 | [i] | ||
| 163 | No (4, 187, 21)-net in base 4 | [i] | ||
| 164 | No (4, 188, 21)-net in base 4 | [i] | ||
| 165 | No (4, 189, 21)-net in base 4 | [i] | ||
| 166 | No (4, 190, 21)-net in base 4 | [i] | ||
| 167 | No (4, 191, 21)-net in base 4 | [i] | ||
| 168 | No (4, 192, 21)-net in base 4 | [i] | ||
| 169 | No (4, 193, 21)-net in base 4 | [i] | ||
| 170 | No (4, 194, 21)-net in base 4 | [i] | ||
| 171 | No (4, 195, 21)-net in base 4 | [i] | ||
| 172 | No (4, 196, 21)-net in base 4 | [i] | ||
| 173 | No (4, 197, 21)-net in base 4 | [i] | ||
| 174 | No (4, 198, 21)-net in base 4 | [i] | ||
| 175 | No (4, 199, 21)-net in base 4 | [i] | ||
| 176 | No (4, 200, 21)-net in base 4 | [i] | ||
| 177 | No (4, 201, 21)-net in base 4 | [i] | ||
| 178 | No (4, 202, 21)-net in base 4 | [i] | ||
| 179 | No (4, 203, 21)-net in base 4 | [i] | ||
| 180 | No (4, 204, 21)-net in base 4 | [i] | ||
| 181 | No (4, 205, 21)-net in base 4 | [i] | ||
| 182 | No (4, 206, 21)-net in base 4 | [i] | ||
| 183 | No (4, 207, 21)-net in base 4 | [i] | ||
| 184 | No (4, 208, 21)-net in base 4 | [i] | ||
| 185 | No (4, 209, 21)-net in base 4 | [i] | ||
| 186 | No (4, 210, 21)-net in base 4 | [i] | ||
| 187 | No (4, 211, 21)-net in base 4 | [i] | ||
| 188 | No (4, 212, 21)-net in base 4 | [i] | ||
| 189 | No (4, 213, 21)-net in base 4 | [i] | ||
| 190 | No (4, 214, 21)-net in base 4 | [i] | ||
| 191 | No (4, 215, 21)-net in base 4 | [i] | ||
| 192 | No (4, 216, 21)-net in base 4 | [i] | ||
| 193 | No (4, 217, 21)-net in base 4 | [i] | ||
| 194 | No (4, 218, 21)-net in base 4 | [i] | ||
| 195 | No (4, 219, 21)-net in base 4 | [i] | ||
| 196 | No (4, 220, 21)-net in base 4 | [i] | ||
| 197 | No (4, 221, 21)-net in base 4 | [i] | ||
| 198 | No (4, 222, 21)-net in base 4 | [i] | ||
| 199 | No (4, 223, 21)-net in base 4 | [i] | ||
| 200 | No (4, 224, 21)-net in base 4 | [i] | ||
| 201 | No (4, 225, 21)-net in base 4 | [i] | ||
| 202 | No (4, 226, 21)-net in base 4 | [i] | ||
| 203 | No (4, 227, 21)-net in base 4 | [i] | ||
| 204 | No (4, 228, 21)-net in base 4 | [i] | ||
| 205 | No (4, 229, 21)-net in base 4 | [i] | ||
| 206 | No (4, 230, 21)-net in base 4 | [i] | ||
| 207 | No (4, 231, 21)-net in base 4 | [i] | ||
| 208 | No (4, 232, 21)-net in base 4 | [i] | ||
| 209 | No (4, 233, 21)-net in base 4 | [i] | ||
| 210 | No (4, 234, 21)-net in base 4 | [i] | ||
| 211 | No (4, 235, 21)-net in base 4 | [i] | ||
| 212 | No (4, 236, 21)-net in base 4 | [i] | ||
| 213 | No (4, 237, 21)-net in base 4 | [i] | ||
| 214 | No (4, 238, 21)-net in base 4 | [i] | ||
| 215 | No (4, 239, 21)-net in base 4 | [i] | ||
| 216 | No (4, 240, 21)-net in base 4 | [i] | ||
| 217 | No (4, 241, 21)-net in base 4 | [i] | ||
| 218 | No (4, 242, 21)-net in base 4 | [i] | ||
| 219 | No (4, 243, 21)-net in base 4 | [i] | ||
| 220 | No (4, 244, 21)-net in base 4 | [i] | ||
| 221 | No (4, 245, 21)-net in base 4 | [i] | ||
| 222 | No (4, 246, 21)-net in base 4 | [i] | ||
| 223 | No (4, 247, 21)-net in base 4 | [i] | ||
| 224 | No (4, 248, 21)-net in base 4 | [i] | ||
| 225 | No (4, 249, 21)-net in base 4 | [i] | ||
| 226 | No (4, 250, 21)-net in base 4 | [i] | ||
| 227 | No (4, 251, 21)-net in base 4 | [i] | ||
| 228 | No (4, 252, 21)-net in base 4 | [i] | ||
| 229 | No (4, 253, 21)-net in base 4 | [i] | ||
| 230 | No (4, 254, 21)-net in base 4 | [i] | ||
| 231 | No (4, 255, 21)-net in base 4 | [i] | ||
| 232 | No (4, 256, 21)-net in base 4 | [i] | ||
| 233 | No (4, 257, 21)-net in base 4 | [i] | ||
| 234 | No (4, 258, 21)-net in base 4 | [i] | ||
| 235 | No (4, 259, 21)-net in base 4 | [i] | ||
| 236 | No (4, 260, 21)-net in base 4 | [i] | ||
| 237 | No (4, m, 21)-net in base 4 for arbitrarily large m | [i] | m-Reduction from Arbitrarily Large Net | |