Information on Result #521075
There is no (10, 83, 29)-net in base 3, because extracting embedded OOA would yield OOA(383, 29, S3, 3, 73), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 155642 697373 306257 251835 620347 321612 373853 / 37 > 383 [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 (10, 84, 29)-net in base 3 | [i] | m-Reduction | |
| 2 | No (10, 85, 29)-net in base 3 | [i] | ||
| 3 | No (10, 86, 29)-net in base 3 | [i] | ||
| 4 | No (10, 87, 29)-net in base 3 | [i] | ||
| 5 | No (10, 88, 29)-net in base 3 | [i] | ||
| 6 | No (10, 89, 29)-net in base 3 | [i] | ||
| 7 | No (10, 90, 29)-net in base 3 | [i] | ||
| 8 | No (10, 91, 29)-net in base 3 | [i] | ||
| 9 | No (10, 92, 29)-net in base 3 | [i] | ||
| 10 | No (10, 93, 29)-net in base 3 | [i] | ||
| 11 | No (10, 94, 29)-net in base 3 | [i] | ||
| 12 | No (10, 95, 29)-net in base 3 | [i] | ||
| 13 | No (10, 96, 29)-net in base 3 | [i] | ||
| 14 | No (10, 97, 29)-net in base 3 | [i] | ||
| 15 | No (10, 98, 29)-net in base 3 | [i] | ||
| 16 | No (10, 99, 29)-net in base 3 | [i] | ||
| 17 | No (10, 100, 29)-net in base 3 | [i] | ||
| 18 | No (10, 101, 29)-net in base 3 | [i] | ||
| 19 | No (10, 102, 29)-net in base 3 | [i] | ||
| 20 | No (10, 103, 29)-net in base 3 | [i] | ||
| 21 | No (10, 104, 29)-net in base 3 | [i] | ||
| 22 | No (10, 105, 29)-net in base 3 | [i] | ||
| 23 | No (10, 106, 29)-net in base 3 | [i] | ||
| 24 | No (10, 107, 29)-net in base 3 | [i] | ||
| 25 | No (10, 108, 29)-net in base 3 | [i] | ||
| 26 | No (10, 109, 29)-net in base 3 | [i] | ||
| 27 | No (10, 110, 29)-net in base 3 | [i] | ||
| 28 | No (10, 111, 29)-net in base 3 | [i] | ||
| 29 | No (10, 112, 29)-net in base 3 | [i] | ||
| 30 | No (10, 113, 29)-net in base 3 | [i] | ||
| 31 | No (10, 114, 29)-net in base 3 | [i] | ||
| 32 | No (10, 115, 29)-net in base 3 | [i] | ||
| 33 | No (10, 116, 29)-net in base 3 | [i] | ||
| 34 | No (10, 117, 29)-net in base 3 | [i] | ||
| 35 | No (10, 118, 29)-net in base 3 | [i] | ||
| 36 | No (10, 119, 29)-net in base 3 | [i] | ||
| 37 | No (10, 120, 29)-net in base 3 | [i] | ||
| 38 | No (10, 121, 29)-net in base 3 | [i] | ||
| 39 | No (10, 122, 29)-net in base 3 | [i] | ||
| 40 | No (10, 123, 29)-net in base 3 | [i] | ||
| 41 | No (10, 124, 29)-net in base 3 | [i] | ||
| 42 | No (10, 125, 29)-net in base 3 | [i] | ||
| 43 | No (10, 126, 29)-net in base 3 | [i] | ||
| 44 | No (10, 127, 29)-net in base 3 | [i] | ||
| 45 | No (10, 128, 29)-net in base 3 | [i] | ||
| 46 | No (10, 129, 29)-net in base 3 | [i] | ||
| 47 | No (10, 130, 29)-net in base 3 | [i] | ||
| 48 | No (10, 131, 29)-net in base 3 | [i] | ||
| 49 | No (10, 132, 29)-net in base 3 | [i] | ||
| 50 | No (10, 133, 29)-net in base 3 | [i] | ||
| 51 | No (10, 134, 29)-net in base 3 | [i] | ||
| 52 | No (10, 135, 29)-net in base 3 | [i] | ||
| 53 | No (10, 136, 29)-net in base 3 | [i] | ||
| 54 | No (10, 137, 29)-net in base 3 | [i] | ||
| 55 | No (10, 138, 29)-net in base 3 | [i] | ||
| 56 | No (10, 139, 29)-net in base 3 | [i] | ||
| 57 | No (10, 140, 29)-net in base 3 | [i] | ||
| 58 | No (10, 141, 29)-net in base 3 | [i] | ||
| 59 | No (10, 142, 29)-net in base 3 | [i] | ||
| 60 | No (10, 143, 29)-net in base 3 | [i] | ||
| 61 | No (10, 144, 29)-net in base 3 | [i] | ||
| 62 | No (10, 145, 29)-net in base 3 | [i] | ||
| 63 | No (10, 146, 29)-net in base 3 | [i] | ||
| 64 | No (10, 147, 29)-net in base 3 | [i] | ||
| 65 | No (10, 148, 29)-net in base 3 | [i] | ||
| 66 | No (10, 149, 29)-net in base 3 | [i] | ||
| 67 | No (10, 150, 29)-net in base 3 | [i] | ||
| 68 | No (10, 151, 29)-net in base 3 | [i] | ||
| 69 | No (10, 152, 29)-net in base 3 | [i] | ||
| 70 | No (10, 153, 29)-net in base 3 | [i] | ||
| 71 | No (10, 154, 29)-net in base 3 | [i] | ||
| 72 | No (10, 155, 29)-net in base 3 | [i] | ||
| 73 | No (10, 156, 29)-net in base 3 | [i] | ||
| 74 | No (10, 157, 29)-net in base 3 | [i] | ||
| 75 | No (10, 158, 29)-net in base 3 | [i] | ||
| 76 | No (10, 159, 29)-net in base 3 | [i] | ||
| 77 | No (10, 160, 29)-net in base 3 | [i] | ||
| 78 | No (10, 161, 29)-net in base 3 | [i] | ||
| 79 | No (10, 162, 29)-net in base 3 | [i] | ||
| 80 | No (10, 163, 29)-net in base 3 | [i] | ||
| 81 | No (10, 164, 29)-net in base 3 | [i] | ||
| 82 | No (10, 165, 29)-net in base 3 | [i] | ||
| 83 | No (10, 166, 29)-net in base 3 | [i] | ||
| 84 | No (10, 167, 29)-net in base 3 | [i] | ||
| 85 | No (10, 168, 29)-net in base 3 | [i] | ||
| 86 | No (10, 169, 29)-net in base 3 | [i] | ||
| 87 | No (10, 170, 29)-net in base 3 | [i] | ||
| 88 | No (10, 171, 29)-net in base 3 | [i] | ||
| 89 | No (10, 172, 29)-net in base 3 | [i] | ||
| 90 | No (10, 173, 29)-net in base 3 | [i] | ||
| 91 | No (10, 174, 29)-net in base 3 | [i] | ||
| 92 | No (10, 175, 29)-net in base 3 | [i] | ||
| 93 | No (10, 176, 29)-net in base 3 | [i] | ||
| 94 | No (10, 177, 29)-net in base 3 | [i] | ||
| 95 | No (10, 178, 29)-net in base 3 | [i] | ||
| 96 | No (10, 179, 29)-net in base 3 | [i] | ||
| 97 | No (10, 180, 29)-net in base 3 | [i] | ||
| 98 | No (10, 181, 29)-net in base 3 | [i] | ||
| 99 | No (10, 182, 29)-net in base 3 | [i] | ||
| 100 | No (10, 183, 29)-net in base 3 | [i] | ||
| 101 | No (10, 184, 29)-net in base 3 | [i] | ||
| 102 | No (10, 185, 29)-net in base 3 | [i] | ||
| 103 | No (10, 186, 29)-net in base 3 | [i] | ||
| 104 | No (10, 187, 29)-net in base 3 | [i] | ||
| 105 | No (10, 188, 29)-net in base 3 | [i] | ||
| 106 | No (10, 189, 29)-net in base 3 | [i] | ||
| 107 | No (10, 190, 29)-net in base 3 | [i] | ||
| 108 | No (10, 191, 29)-net in base 3 | [i] | ||
| 109 | No (10, 192, 29)-net in base 3 | [i] | ||
| 110 | No (10, 193, 29)-net in base 3 | [i] | ||
| 111 | No (10, 194, 29)-net in base 3 | [i] | ||
| 112 | No (10, 195, 29)-net in base 3 | [i] | ||
| 113 | No (10, 196, 29)-net in base 3 | [i] | ||
| 114 | No (10, 197, 29)-net in base 3 | [i] | ||
| 115 | No (10, 198, 29)-net in base 3 | [i] | ||
| 116 | No (10, 199, 29)-net in base 3 | [i] | ||
| 117 | No (10, 200, 29)-net in base 3 | [i] | ||
| 118 | No (10, 201, 29)-net in base 3 | [i] | ||
| 119 | No (10, 202, 29)-net in base 3 | [i] | ||
| 120 | No (10, 203, 29)-net in base 3 | [i] | ||
| 121 | No (10, 204, 29)-net in base 3 | [i] | ||
| 122 | No (10, 205, 29)-net in base 3 | [i] | ||
| 123 | No (10, 206, 29)-net in base 3 | [i] | ||
| 124 | No (10, 207, 29)-net in base 3 | [i] | ||
| 125 | No (10, 208, 29)-net in base 3 | [i] | ||
| 126 | No (10, 209, 29)-net in base 3 | [i] | ||
| 127 | No (10, 210, 29)-net in base 3 | [i] | ||
| 128 | No (10, 211, 29)-net in base 3 | [i] | ||
| 129 | No (10, 212, 29)-net in base 3 | [i] | ||
| 130 | No (10, 213, 29)-net in base 3 | [i] | ||
| 131 | No (10, 214, 29)-net in base 3 | [i] | ||
| 132 | No (10, 215, 29)-net in base 3 | [i] | ||
| 133 | No (10, 216, 29)-net in base 3 | [i] | ||
| 134 | No (10, 217, 29)-net in base 3 | [i] | ||
| 135 | No (10, 218, 29)-net in base 3 | [i] | ||
| 136 | No (10, 219, 29)-net in base 3 | [i] | ||
| 137 | No (10, 220, 29)-net in base 3 | [i] | ||
| 138 | No (10, 221, 29)-net in base 3 | [i] | ||
| 139 | No (10, 222, 29)-net in base 3 | [i] | ||
| 140 | No (10, 223, 29)-net in base 3 | [i] | ||
| 141 | No (10, 224, 29)-net in base 3 | [i] | ||
| 142 | No (10, 225, 29)-net in base 3 | [i] | ||
| 143 | No (10, 226, 29)-net in base 3 | [i] | ||
| 144 | No (10, 227, 29)-net in base 3 | [i] | ||
| 145 | No (10, 228, 29)-net in base 3 | [i] | ||
| 146 | No (10, 229, 29)-net in base 3 | [i] | ||
| 147 | No (10, 230, 29)-net in base 3 | [i] | ||
| 148 | No (10, 231, 29)-net in base 3 | [i] | ||
| 149 | No (10, 232, 29)-net in base 3 | [i] | ||
| 150 | No (10, 233, 29)-net in base 3 | [i] | ||
| 151 | No (10, 234, 29)-net in base 3 | [i] | ||
| 152 | No (10, 235, 29)-net in base 3 | [i] | ||
| 153 | No (10, 236, 29)-net in base 3 | [i] | ||
| 154 | No (10, 237, 29)-net in base 3 | [i] | ||
| 155 | No (10, 238, 29)-net in base 3 | [i] | ||
| 156 | No (10, 239, 29)-net in base 3 | [i] | ||
| 157 | No (10, 240, 29)-net in base 3 | [i] | ||
| 158 | No (10, 241, 29)-net in base 3 | [i] | ||
| 159 | No (10, 242, 29)-net in base 3 | [i] | ||
| 160 | No (10, 243, 29)-net in base 3 | [i] | ||
| 161 | No (10, 244, 29)-net in base 3 | [i] | ||
| 162 | No (10, 245, 29)-net in base 3 | [i] | ||
| 163 | No (10, 246, 29)-net in base 3 | [i] | ||
| 164 | No (10, 247, 29)-net in base 3 | [i] | ||
| 165 | No (10, 248, 29)-net in base 3 | [i] | ||
| 166 | No (10, 249, 29)-net in base 3 | [i] | ||
| 167 | No (10, 250, 29)-net in base 3 | [i] | ||
| 168 | No (10, m, 29)-net in base 3 for arbitrarily large m | [i] | m-Reduction from Arbitrarily Large Net | |