Information on Result #521068
There is no (9, 77, 27)-net in base 3, because extracting embedded OOA would yield OOA(377, 27, S3, 3, 68), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 147 808829 414345 923316 083210 206383 297601 / 23 > 377 [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 (9, 78, 27)-net in base 3 | [i] | m-Reduction | |
| 2 | No (9, 79, 27)-net in base 3 | [i] | ||
| 3 | No (9, 80, 27)-net in base 3 | [i] | ||
| 4 | No (9, 81, 27)-net in base 3 | [i] | ||
| 5 | No (9, 82, 27)-net in base 3 | [i] | ||
| 6 | No (9, 83, 27)-net in base 3 | [i] | ||
| 7 | No (9, 84, 27)-net in base 3 | [i] | ||
| 8 | No (9, 85, 27)-net in base 3 | [i] | ||
| 9 | No (9, 86, 27)-net in base 3 | [i] | ||
| 10 | No (9, 87, 27)-net in base 3 | [i] | ||
| 11 | No (9, 88, 27)-net in base 3 | [i] | ||
| 12 | No (9, 89, 27)-net in base 3 | [i] | ||
| 13 | No (9, 90, 27)-net in base 3 | [i] | ||
| 14 | No (9, 91, 27)-net in base 3 | [i] | ||
| 15 | No (9, 92, 27)-net in base 3 | [i] | ||
| 16 | No (9, 93, 27)-net in base 3 | [i] | ||
| 17 | No (9, 94, 27)-net in base 3 | [i] | ||
| 18 | No (9, 95, 27)-net in base 3 | [i] | ||
| 19 | No (9, 96, 27)-net in base 3 | [i] | ||
| 20 | No (9, 97, 27)-net in base 3 | [i] | ||
| 21 | No (9, 98, 27)-net in base 3 | [i] | ||
| 22 | No (9, 99, 27)-net in base 3 | [i] | ||
| 23 | No (9, 100, 27)-net in base 3 | [i] | ||
| 24 | No (9, 101, 27)-net in base 3 | [i] | ||
| 25 | No (9, 102, 27)-net in base 3 | [i] | ||
| 26 | No (9, 103, 27)-net in base 3 | [i] | ||
| 27 | No (9, 104, 27)-net in base 3 | [i] | ||
| 28 | No (9, 105, 27)-net in base 3 | [i] | ||
| 29 | No (9, 106, 27)-net in base 3 | [i] | ||
| 30 | No (9, 107, 27)-net in base 3 | [i] | ||
| 31 | No (9, 108, 27)-net in base 3 | [i] | ||
| 32 | No (9, 109, 27)-net in base 3 | [i] | ||
| 33 | No (9, 110, 27)-net in base 3 | [i] | ||
| 34 | No (9, 111, 27)-net in base 3 | [i] | ||
| 35 | No (9, 112, 27)-net in base 3 | [i] | ||
| 36 | No (9, 113, 27)-net in base 3 | [i] | ||
| 37 | No (9, 114, 27)-net in base 3 | [i] | ||
| 38 | No (9, 115, 27)-net in base 3 | [i] | ||
| 39 | No (9, 116, 27)-net in base 3 | [i] | ||
| 40 | No (9, 117, 27)-net in base 3 | [i] | ||
| 41 | No (9, 118, 27)-net in base 3 | [i] | ||
| 42 | No (9, 119, 27)-net in base 3 | [i] | ||
| 43 | No (9, 120, 27)-net in base 3 | [i] | ||
| 44 | No (9, 121, 27)-net in base 3 | [i] | ||
| 45 | No (9, 122, 27)-net in base 3 | [i] | ||
| 46 | No (9, 123, 27)-net in base 3 | [i] | ||
| 47 | No (9, 124, 27)-net in base 3 | [i] | ||
| 48 | No (9, 125, 27)-net in base 3 | [i] | ||
| 49 | No (9, 126, 27)-net in base 3 | [i] | ||
| 50 | No (9, 127, 27)-net in base 3 | [i] | ||
| 51 | No (9, 128, 27)-net in base 3 | [i] | ||
| 52 | No (9, 129, 27)-net in base 3 | [i] | ||
| 53 | No (9, 130, 27)-net in base 3 | [i] | ||
| 54 | No (9, 131, 27)-net in base 3 | [i] | ||
| 55 | No (9, 132, 27)-net in base 3 | [i] | ||
| 56 | No (9, 133, 27)-net in base 3 | [i] | ||
| 57 | No (9, 134, 27)-net in base 3 | [i] | ||
| 58 | No (9, 135, 27)-net in base 3 | [i] | ||
| 59 | No (9, 136, 27)-net in base 3 | [i] | ||
| 60 | No (9, 137, 27)-net in base 3 | [i] | ||
| 61 | No (9, 138, 27)-net in base 3 | [i] | ||
| 62 | No (9, 139, 27)-net in base 3 | [i] | ||
| 63 | No (9, 140, 27)-net in base 3 | [i] | ||
| 64 | No (9, 141, 27)-net in base 3 | [i] | ||
| 65 | No (9, 142, 27)-net in base 3 | [i] | ||
| 66 | No (9, 143, 27)-net in base 3 | [i] | ||
| 67 | No (9, 144, 27)-net in base 3 | [i] | ||
| 68 | No (9, 145, 27)-net in base 3 | [i] | ||
| 69 | No (9, 146, 27)-net in base 3 | [i] | ||
| 70 | No (9, 147, 27)-net in base 3 | [i] | ||
| 71 | No (9, 148, 27)-net in base 3 | [i] | ||
| 72 | No (9, 149, 27)-net in base 3 | [i] | ||
| 73 | No (9, 150, 27)-net in base 3 | [i] | ||
| 74 | No (9, 151, 27)-net in base 3 | [i] | ||
| 75 | No (9, 152, 27)-net in base 3 | [i] | ||
| 76 | No (9, 153, 27)-net in base 3 | [i] | ||
| 77 | No (9, 154, 27)-net in base 3 | [i] | ||
| 78 | No (9, 155, 27)-net in base 3 | [i] | ||
| 79 | No (9, 156, 27)-net in base 3 | [i] | ||
| 80 | No (9, 157, 27)-net in base 3 | [i] | ||
| 81 | No (9, 158, 27)-net in base 3 | [i] | ||
| 82 | No (9, 159, 27)-net in base 3 | [i] | ||
| 83 | No (9, 160, 27)-net in base 3 | [i] | ||
| 84 | No (9, 161, 27)-net in base 3 | [i] | ||
| 85 | No (9, 162, 27)-net in base 3 | [i] | ||
| 86 | No (9, 163, 27)-net in base 3 | [i] | ||
| 87 | No (9, 164, 27)-net in base 3 | [i] | ||
| 88 | No (9, 165, 27)-net in base 3 | [i] | ||
| 89 | No (9, 166, 27)-net in base 3 | [i] | ||
| 90 | No (9, 167, 27)-net in base 3 | [i] | ||
| 91 | No (9, 168, 27)-net in base 3 | [i] | ||
| 92 | No (9, 169, 27)-net in base 3 | [i] | ||
| 93 | No (9, 170, 27)-net in base 3 | [i] | ||
| 94 | No (9, 171, 27)-net in base 3 | [i] | ||
| 95 | No (9, 172, 27)-net in base 3 | [i] | ||
| 96 | No (9, 173, 27)-net in base 3 | [i] | ||
| 97 | No (9, 174, 27)-net in base 3 | [i] | ||
| 98 | No (9, 175, 27)-net in base 3 | [i] | ||
| 99 | No (9, 176, 27)-net in base 3 | [i] | ||
| 100 | No (9, 177, 27)-net in base 3 | [i] | ||
| 101 | No (9, 178, 27)-net in base 3 | [i] | ||
| 102 | No (9, 179, 27)-net in base 3 | [i] | ||
| 103 | No (9, 180, 27)-net in base 3 | [i] | ||
| 104 | No (9, 181, 27)-net in base 3 | [i] | ||
| 105 | No (9, 182, 27)-net in base 3 | [i] | ||
| 106 | No (9, 183, 27)-net in base 3 | [i] | ||
| 107 | No (9, 184, 27)-net in base 3 | [i] | ||
| 108 | No (9, 185, 27)-net in base 3 | [i] | ||
| 109 | No (9, 186, 27)-net in base 3 | [i] | ||
| 110 | No (9, 187, 27)-net in base 3 | [i] | ||
| 111 | No (9, 188, 27)-net in base 3 | [i] | ||
| 112 | No (9, 189, 27)-net in base 3 | [i] | ||
| 113 | No (9, 190, 27)-net in base 3 | [i] | ||
| 114 | No (9, 191, 27)-net in base 3 | [i] | ||
| 115 | No (9, 192, 27)-net in base 3 | [i] | ||
| 116 | No (9, 193, 27)-net in base 3 | [i] | ||
| 117 | No (9, 194, 27)-net in base 3 | [i] | ||
| 118 | No (9, 195, 27)-net in base 3 | [i] | ||
| 119 | No (9, 196, 27)-net in base 3 | [i] | ||
| 120 | No (9, 197, 27)-net in base 3 | [i] | ||
| 121 | No (9, 198, 27)-net in base 3 | [i] | ||
| 122 | No (9, 199, 27)-net in base 3 | [i] | ||
| 123 | No (9, 200, 27)-net in base 3 | [i] | ||
| 124 | No (9, 201, 27)-net in base 3 | [i] | ||
| 125 | No (9, 202, 27)-net in base 3 | [i] | ||
| 126 | No (9, 203, 27)-net in base 3 | [i] | ||
| 127 | No (9, 204, 27)-net in base 3 | [i] | ||
| 128 | No (9, 205, 27)-net in base 3 | [i] | ||
| 129 | No (9, 206, 27)-net in base 3 | [i] | ||
| 130 | No (9, 207, 27)-net in base 3 | [i] | ||
| 131 | No (9, 208, 27)-net in base 3 | [i] | ||
| 132 | No (9, 209, 27)-net in base 3 | [i] | ||
| 133 | No (9, 210, 27)-net in base 3 | [i] | ||
| 134 | No (9, 211, 27)-net in base 3 | [i] | ||
| 135 | No (9, 212, 27)-net in base 3 | [i] | ||
| 136 | No (9, 213, 27)-net in base 3 | [i] | ||
| 137 | No (9, 214, 27)-net in base 3 | [i] | ||
| 138 | No (9, 215, 27)-net in base 3 | [i] | ||
| 139 | No (9, 216, 27)-net in base 3 | [i] | ||
| 140 | No (9, 217, 27)-net in base 3 | [i] | ||
| 141 | No (9, 218, 27)-net in base 3 | [i] | ||
| 142 | No (9, 219, 27)-net in base 3 | [i] | ||
| 143 | No (9, 220, 27)-net in base 3 | [i] | ||
| 144 | No (9, 221, 27)-net in base 3 | [i] | ||
| 145 | No (9, 222, 27)-net in base 3 | [i] | ||
| 146 | No (9, 223, 27)-net in base 3 | [i] | ||
| 147 | No (9, 224, 27)-net in base 3 | [i] | ||
| 148 | No (9, 225, 27)-net in base 3 | [i] | ||
| 149 | No (9, 226, 27)-net in base 3 | [i] | ||
| 150 | No (9, 227, 27)-net in base 3 | [i] | ||
| 151 | No (9, 228, 27)-net in base 3 | [i] | ||
| 152 | No (9, 229, 27)-net in base 3 | [i] | ||
| 153 | No (9, 230, 27)-net in base 3 | [i] | ||
| 154 | No (9, 231, 27)-net in base 3 | [i] | ||
| 155 | No (9, 232, 27)-net in base 3 | [i] | ||
| 156 | No (9, 233, 27)-net in base 3 | [i] | ||
| 157 | No (9, 234, 27)-net in base 3 | [i] | ||
| 158 | No (9, 235, 27)-net in base 3 | [i] | ||
| 159 | No (9, 236, 27)-net in base 3 | [i] | ||
| 160 | No (9, 237, 27)-net in base 3 | [i] | ||
| 161 | No (9, 238, 27)-net in base 3 | [i] | ||
| 162 | No (9, 239, 27)-net in base 3 | [i] | ||
| 163 | No (9, 240, 27)-net in base 3 | [i] | ||
| 164 | No (9, 241, 27)-net in base 3 | [i] | ||
| 165 | No (9, 242, 27)-net in base 3 | [i] | ||
| 166 | No (9, 243, 27)-net in base 3 | [i] | ||
| 167 | No (9, 244, 27)-net in base 3 | [i] | ||
| 168 | No (9, 245, 27)-net in base 3 | [i] | ||
| 169 | No (9, 246, 27)-net in base 3 | [i] | ||
| 170 | No (9, 247, 27)-net in base 3 | [i] | ||
| 171 | No (9, 248, 27)-net in base 3 | [i] | ||
| 172 | No (9, 249, 27)-net in base 3 | [i] | ||
| 173 | No (9, 250, 27)-net in base 3 | [i] | ||
| 174 | No (9, m, 27)-net in base 3 for arbitrarily large m | [i] | m-Reduction from Arbitrarily Large Net | |