Information on Result #521796
There is no (5, 31, 24)-net in base 4, because extracting embedded OOA would yield OOA(431, 24, S4, 2, 26), but
- the linear programming bound for OOAs shows that M ≥ 5 737162 226617 068887 736320 / 1 225547 > 431 [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 (5, 32, 24)-net in base 4 | [i] | m-Reduction | |
| 2 | No (5, 33, 24)-net in base 4 | [i] | ||
| 3 | No (5, 34, 24)-net in base 4 | [i] | ||
| 4 | No (5, 35, 24)-net in base 4 | [i] | ||
| 5 | No (5, 36, 24)-net in base 4 | [i] | ||
| 6 | No (5, 37, 24)-net in base 4 | [i] | ||
| 7 | No (5, 38, 24)-net in base 4 | [i] | ||
| 8 | No (5, 39, 24)-net in base 4 | [i] | ||
| 9 | No (5, 40, 24)-net in base 4 | [i] | ||
| 10 | No (5, 41, 24)-net in base 4 | [i] | ||
| 11 | No (5, 42, 24)-net in base 4 | [i] | ||
| 12 | No (5, 43, 24)-net in base 4 | [i] | ||
| 13 | No (5, 44, 24)-net in base 4 | [i] | ||
| 14 | No (5, 45, 24)-net in base 4 | [i] | ||
| 15 | No (5, 46, 24)-net in base 4 | [i] | ||
| 16 | No (5, 47, 24)-net in base 4 | [i] | ||
| 17 | No (5, 48, 24)-net in base 4 | [i] | ||
| 18 | No (5, 49, 24)-net in base 4 | [i] | ||
| 19 | No (5, 50, 24)-net in base 4 | [i] | ||
| 20 | No (5, 51, 24)-net in base 4 | [i] | ||
| 21 | No (5, 52, 24)-net in base 4 | [i] | ||
| 22 | No (5, 53, 24)-net in base 4 | [i] | ||
| 23 | No (5, 54, 24)-net in base 4 | [i] | ||
| 24 | No (5, 55, 24)-net in base 4 | [i] | ||
| 25 | No (5, 56, 24)-net in base 4 | [i] | ||
| 26 | No (5, 57, 24)-net in base 4 | [i] | ||
| 27 | No (5, 58, 24)-net in base 4 | [i] | ||
| 28 | No (5, 59, 24)-net in base 4 | [i] | ||
| 29 | No (5, 60, 24)-net in base 4 | [i] | ||
| 30 | No (5, 61, 24)-net in base 4 | [i] | ||
| 31 | No (5, 62, 24)-net in base 4 | [i] | ||
| 32 | No (5, 63, 24)-net in base 4 | [i] | ||
| 33 | No (5, 64, 24)-net in base 4 | [i] | ||
| 34 | No (5, 65, 24)-net in base 4 | [i] | ||
| 35 | No (5, 66, 24)-net in base 4 | [i] | ||
| 36 | No (5, 67, 24)-net in base 4 | [i] | ||
| 37 | No (5, 68, 24)-net in base 4 | [i] | ||
| 38 | No (5, 69, 24)-net in base 4 | [i] | ||
| 39 | No (5, 70, 24)-net in base 4 | [i] | ||
| 40 | No (5, 71, 24)-net in base 4 | [i] | ||
| 41 | No (5, 72, 24)-net in base 4 | [i] | ||
| 42 | No (5, 73, 24)-net in base 4 | [i] | ||
| 43 | No (5, 74, 24)-net in base 4 | [i] | ||
| 44 | No (5, 75, 24)-net in base 4 | [i] | ||
| 45 | No (5, 76, 24)-net in base 4 | [i] | ||
| 46 | No (5, 77, 24)-net in base 4 | [i] | ||
| 47 | No (5, 78, 24)-net in base 4 | [i] | ||
| 48 | No (5, 79, 24)-net in base 4 | [i] | ||
| 49 | No (5, 80, 24)-net in base 4 | [i] | ||
| 50 | No (5, 81, 24)-net in base 4 | [i] | ||
| 51 | No (5, 82, 24)-net in base 4 | [i] | ||
| 52 | No (5, 83, 24)-net in base 4 | [i] | ||
| 53 | No (5, 84, 24)-net in base 4 | [i] | ||
| 54 | No (5, 85, 24)-net in base 4 | [i] | ||
| 55 | No (5, 86, 24)-net in base 4 | [i] | ||
| 56 | No (5, 87, 24)-net in base 4 | [i] | ||
| 57 | No (5, 88, 24)-net in base 4 | [i] | ||
| 58 | No (5, 89, 24)-net in base 4 | [i] | ||
| 59 | No (5, 90, 24)-net in base 4 | [i] | ||
| 60 | No (5, 91, 24)-net in base 4 | [i] | ||
| 61 | No (5, 92, 24)-net in base 4 | [i] | ||
| 62 | No (5, 93, 24)-net in base 4 | [i] | ||
| 63 | No (5, 94, 24)-net in base 4 | [i] | ||
| 64 | No (5, 95, 24)-net in base 4 | [i] | ||
| 65 | No (5, 96, 24)-net in base 4 | [i] | ||
| 66 | No (5, 97, 24)-net in base 4 | [i] | ||
| 67 | No (5, 98, 24)-net in base 4 | [i] | ||
| 68 | No (5, 99, 24)-net in base 4 | [i] | ||
| 69 | No (5, 100, 24)-net in base 4 | [i] | ||
| 70 | No (5, 101, 24)-net in base 4 | [i] | ||
| 71 | No (5, 102, 24)-net in base 4 | [i] | ||
| 72 | No (5, 103, 24)-net in base 4 | [i] | ||
| 73 | No (5, 104, 24)-net in base 4 | [i] | ||
| 74 | No (5, 105, 24)-net in base 4 | [i] | ||
| 75 | No (5, 106, 24)-net in base 4 | [i] | ||
| 76 | No (5, 107, 24)-net in base 4 | [i] | ||
| 77 | No (5, 108, 24)-net in base 4 | [i] | ||
| 78 | No (5, 109, 24)-net in base 4 | [i] | ||
| 79 | No (5, 110, 24)-net in base 4 | [i] | ||
| 80 | No (5, 111, 24)-net in base 4 | [i] | ||
| 81 | No (5, 112, 24)-net in base 4 | [i] | ||
| 82 | No (5, 113, 24)-net in base 4 | [i] | ||
| 83 | No (5, 114, 24)-net in base 4 | [i] | ||
| 84 | No (5, 115, 24)-net in base 4 | [i] | ||
| 85 | No (5, 116, 24)-net in base 4 | [i] | ||
| 86 | No (5, 117, 24)-net in base 4 | [i] | ||
| 87 | No (5, 118, 24)-net in base 4 | [i] | ||
| 88 | No (5, 119, 24)-net in base 4 | [i] | ||
| 89 | No (5, 120, 24)-net in base 4 | [i] | ||
| 90 | No (5, 121, 24)-net in base 4 | [i] | ||
| 91 | No (5, 122, 24)-net in base 4 | [i] | ||
| 92 | No (5, 123, 24)-net in base 4 | [i] | ||
| 93 | No (5, 124, 24)-net in base 4 | [i] | ||
| 94 | No (5, 125, 24)-net in base 4 | [i] | ||
| 95 | No (5, 126, 24)-net in base 4 | [i] | ||
| 96 | No (5, 127, 24)-net in base 4 | [i] | ||
| 97 | No (5, 128, 24)-net in base 4 | [i] | ||
| 98 | No (5, 129, 24)-net in base 4 | [i] | ||
| 99 | No (5, 130, 24)-net in base 4 | [i] | ||
| 100 | No (5, 131, 24)-net in base 4 | [i] | ||
| 101 | No (5, 132, 24)-net in base 4 | [i] | ||
| 102 | No (5, 133, 24)-net in base 4 | [i] | ||
| 103 | No (5, 134, 24)-net in base 4 | [i] | ||
| 104 | No (5, 135, 24)-net in base 4 | [i] | ||
| 105 | No (5, 136, 24)-net in base 4 | [i] | ||
| 106 | No (5, 137, 24)-net in base 4 | [i] | ||
| 107 | No (5, 138, 24)-net in base 4 | [i] | ||
| 108 | No (5, 139, 24)-net in base 4 | [i] | ||
| 109 | No (5, 140, 24)-net in base 4 | [i] | ||
| 110 | No (5, 141, 24)-net in base 4 | [i] | ||
| 111 | No (5, 142, 24)-net in base 4 | [i] | ||
| 112 | No (5, 143, 24)-net in base 4 | [i] | ||
| 113 | No (5, 144, 24)-net in base 4 | [i] | ||
| 114 | No (5, 145, 24)-net in base 4 | [i] | ||
| 115 | No (5, 146, 24)-net in base 4 | [i] | ||
| 116 | No (5, 147, 24)-net in base 4 | [i] | ||
| 117 | No (5, 148, 24)-net in base 4 | [i] | ||
| 118 | No (5, 149, 24)-net in base 4 | [i] | ||
| 119 | No (5, 150, 24)-net in base 4 | [i] | ||
| 120 | No (5, 151, 24)-net in base 4 | [i] | ||
| 121 | No (5, 152, 24)-net in base 4 | [i] | ||
| 122 | No (5, 153, 24)-net in base 4 | [i] | ||
| 123 | No (5, 154, 24)-net in base 4 | [i] | ||
| 124 | No (5, 155, 24)-net in base 4 | [i] | ||
| 125 | No (5, 156, 24)-net in base 4 | [i] | ||
| 126 | No (5, 157, 24)-net in base 4 | [i] | ||
| 127 | No (5, 158, 24)-net in base 4 | [i] | ||
| 128 | No (5, 159, 24)-net in base 4 | [i] | ||
| 129 | No (5, 160, 24)-net in base 4 | [i] | ||
| 130 | No (5, 161, 24)-net in base 4 | [i] | ||
| 131 | No (5, 162, 24)-net in base 4 | [i] | ||
| 132 | No (5, 163, 24)-net in base 4 | [i] | ||
| 133 | No (5, 164, 24)-net in base 4 | [i] | ||
| 134 | No (5, 165, 24)-net in base 4 | [i] | ||
| 135 | No (5, 166, 24)-net in base 4 | [i] | ||
| 136 | No (5, 167, 24)-net in base 4 | [i] | ||
| 137 | No (5, 168, 24)-net in base 4 | [i] | ||
| 138 | No (5, 169, 24)-net in base 4 | [i] | ||
| 139 | No (5, 170, 24)-net in base 4 | [i] | ||
| 140 | No (5, 171, 24)-net in base 4 | [i] | ||
| 141 | No (5, 172, 24)-net in base 4 | [i] | ||
| 142 | No (5, 173, 24)-net in base 4 | [i] | ||
| 143 | No (5, 174, 24)-net in base 4 | [i] | ||
| 144 | No (5, 175, 24)-net in base 4 | [i] | ||
| 145 | No (5, 176, 24)-net in base 4 | [i] | ||
| 146 | No (5, 177, 24)-net in base 4 | [i] | ||
| 147 | No (5, 178, 24)-net in base 4 | [i] | ||
| 148 | No (5, 179, 24)-net in base 4 | [i] | ||
| 149 | No (5, 180, 24)-net in base 4 | [i] | ||
| 150 | No (5, 181, 24)-net in base 4 | [i] | ||
| 151 | No (5, 182, 24)-net in base 4 | [i] | ||
| 152 | No (5, 183, 24)-net in base 4 | [i] | ||
| 153 | No (5, 184, 24)-net in base 4 | [i] | ||
| 154 | No (5, 185, 24)-net in base 4 | [i] | ||
| 155 | No (5, 186, 24)-net in base 4 | [i] | ||
| 156 | No (5, 187, 24)-net in base 4 | [i] | ||
| 157 | No (5, 188, 24)-net in base 4 | [i] | ||
| 158 | No (5, 189, 24)-net in base 4 | [i] | ||
| 159 | No (5, 190, 24)-net in base 4 | [i] | ||
| 160 | No (5, 191, 24)-net in base 4 | [i] | ||
| 161 | No (5, 192, 24)-net in base 4 | [i] | ||
| 162 | No (5, 193, 24)-net in base 4 | [i] | ||
| 163 | No (5, 194, 24)-net in base 4 | [i] | ||
| 164 | No (5, 195, 24)-net in base 4 | [i] | ||
| 165 | No (5, 196, 24)-net in base 4 | [i] | ||
| 166 | No (5, 197, 24)-net in base 4 | [i] | ||
| 167 | No (5, 198, 24)-net in base 4 | [i] | ||
| 168 | No (5, 199, 24)-net in base 4 | [i] | ||
| 169 | No (5, 200, 24)-net in base 4 | [i] | ||
| 170 | No (5, 201, 24)-net in base 4 | [i] | ||
| 171 | No (5, 202, 24)-net in base 4 | [i] | ||
| 172 | No (5, 203, 24)-net in base 4 | [i] | ||
| 173 | No (5, 204, 24)-net in base 4 | [i] | ||
| 174 | No (5, 205, 24)-net in base 4 | [i] | ||
| 175 | No (5, 206, 24)-net in base 4 | [i] | ||
| 176 | No (5, 207, 24)-net in base 4 | [i] | ||
| 177 | No (5, 208, 24)-net in base 4 | [i] | ||
| 178 | No (5, 209, 24)-net in base 4 | [i] | ||
| 179 | No (5, 210, 24)-net in base 4 | [i] | ||
| 180 | No (5, 211, 24)-net in base 4 | [i] | ||
| 181 | No (5, 212, 24)-net in base 4 | [i] | ||
| 182 | No (5, 213, 24)-net in base 4 | [i] | ||
| 183 | No (5, 214, 24)-net in base 4 | [i] | ||
| 184 | No (5, 215, 24)-net in base 4 | [i] | ||
| 185 | No (5, 216, 24)-net in base 4 | [i] | ||
| 186 | No (5, 217, 24)-net in base 4 | [i] | ||
| 187 | No (5, 218, 24)-net in base 4 | [i] | ||
| 188 | No (5, 219, 24)-net in base 4 | [i] | ||
| 189 | No (5, 220, 24)-net in base 4 | [i] | ||
| 190 | No (5, 221, 24)-net in base 4 | [i] | ||
| 191 | No (5, 222, 24)-net in base 4 | [i] | ||
| 192 | No (5, 223, 24)-net in base 4 | [i] | ||
| 193 | No (5, 224, 24)-net in base 4 | [i] | ||
| 194 | No (5, 225, 24)-net in base 4 | [i] | ||
| 195 | No (5, 226, 24)-net in base 4 | [i] | ||
| 196 | No (5, 227, 24)-net in base 4 | [i] | ||
| 197 | No (5, 228, 24)-net in base 4 | [i] | ||
| 198 | No (5, 229, 24)-net in base 4 | [i] | ||
| 199 | No (5, 230, 24)-net in base 4 | [i] | ||
| 200 | No (5, 231, 24)-net in base 4 | [i] | ||
| 201 | No (5, 232, 24)-net in base 4 | [i] | ||
| 202 | No (5, 233, 24)-net in base 4 | [i] | ||
| 203 | No (5, 234, 24)-net in base 4 | [i] | ||
| 204 | No (5, 235, 24)-net in base 4 | [i] | ||
| 205 | No (5, 236, 24)-net in base 4 | [i] | ||
| 206 | No (5, 237, 24)-net in base 4 | [i] | ||
| 207 | No (5, 238, 24)-net in base 4 | [i] | ||
| 208 | No (5, 239, 24)-net in base 4 | [i] | ||
| 209 | No (5, 240, 24)-net in base 4 | [i] | ||
| 210 | No (5, 241, 24)-net in base 4 | [i] | ||
| 211 | No (5, 242, 24)-net in base 4 | [i] | ||
| 212 | No (5, 243, 24)-net in base 4 | [i] | ||
| 213 | No (5, 244, 24)-net in base 4 | [i] | ||
| 214 | No (5, 245, 24)-net in base 4 | [i] | ||
| 215 | No (5, 246, 24)-net in base 4 | [i] | ||
| 216 | No (5, 247, 24)-net in base 4 | [i] | ||
| 217 | No (5, 248, 24)-net in base 4 | [i] | ||
| 218 | No (5, 249, 24)-net in base 4 | [i] | ||
| 219 | No (5, 250, 24)-net in base 4 | [i] | ||
| 220 | No (5, 251, 24)-net in base 4 | [i] | ||
| 221 | No (5, 252, 24)-net in base 4 | [i] | ||
| 222 | No (5, 253, 24)-net in base 4 | [i] | ||
| 223 | No (5, 254, 24)-net in base 4 | [i] | ||
| 224 | No (5, 255, 24)-net in base 4 | [i] | ||
| 225 | No (5, 256, 24)-net in base 4 | [i] | ||
| 226 | No (5, 257, 24)-net in base 4 | [i] | ||
| 227 | No (5, 258, 24)-net in base 4 | [i] | ||
| 228 | No (5, 259, 24)-net in base 4 | [i] | ||
| 229 | No (5, 260, 24)-net in base 4 | [i] | ||
| 230 | No (5, m, 24)-net in base 4 for arbitrarily large m | [i] | m-Reduction from Arbitrarily Large Net | |