Information on Result #521084
There is no (11, 90, 32)-net in base 3, because extracting embedded OOA would yield OOA(390, 32, S3, 3, 79), but
- the LP bound with quadratic polynomials shows that M ≥ 177 468592 551116 819326 458415 416026 789247 509463 / 20 > 390 [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 (11, 91, 32)-net in base 3 | [i] | m-Reduction | |
| 2 | No (11, 92, 32)-net in base 3 | [i] | ||
| 3 | No (11, 93, 32)-net in base 3 | [i] | ||
| 4 | No (11, 94, 32)-net in base 3 | [i] | ||
| 5 | No (11, 95, 32)-net in base 3 | [i] | ||
| 6 | No (11, 96, 32)-net in base 3 | [i] | ||
| 7 | No (11, 97, 32)-net in base 3 | [i] | ||
| 8 | No (11, 98, 32)-net in base 3 | [i] | ||
| 9 | No (11, 99, 32)-net in base 3 | [i] | ||
| 10 | No (11, 100, 32)-net in base 3 | [i] | ||
| 11 | No (11, 101, 32)-net in base 3 | [i] | ||
| 12 | No (11, 102, 32)-net in base 3 | [i] | ||
| 13 | No (11, 103, 32)-net in base 3 | [i] | ||
| 14 | No (11, 104, 32)-net in base 3 | [i] | ||
| 15 | No (11, 105, 32)-net in base 3 | [i] | ||
| 16 | No (11, 106, 32)-net in base 3 | [i] | ||
| 17 | No (11, 107, 32)-net in base 3 | [i] | ||
| 18 | No (11, 108, 32)-net in base 3 | [i] | ||
| 19 | No (11, 109, 32)-net in base 3 | [i] | ||
| 20 | No (11, 110, 32)-net in base 3 | [i] | ||
| 21 | No (11, 111, 32)-net in base 3 | [i] | ||
| 22 | No (11, 112, 32)-net in base 3 | [i] | ||
| 23 | No (11, 113, 32)-net in base 3 | [i] | ||
| 24 | No (11, 114, 32)-net in base 3 | [i] | ||
| 25 | No (11, 115, 32)-net in base 3 | [i] | ||
| 26 | No (11, 116, 32)-net in base 3 | [i] | ||
| 27 | No (11, 117, 32)-net in base 3 | [i] | ||
| 28 | No (11, 118, 32)-net in base 3 | [i] | ||
| 29 | No (11, 119, 32)-net in base 3 | [i] | ||
| 30 | No (11, 120, 32)-net in base 3 | [i] | ||
| 31 | No (11, 121, 32)-net in base 3 | [i] | ||
| 32 | No (11, 122, 32)-net in base 3 | [i] | ||
| 33 | No (11, 123, 32)-net in base 3 | [i] | ||
| 34 | No (11, 124, 32)-net in base 3 | [i] | ||
| 35 | No (11, 125, 32)-net in base 3 | [i] | ||
| 36 | No (11, 126, 32)-net in base 3 | [i] | ||
| 37 | No (11, 127, 32)-net in base 3 | [i] | ||
| 38 | No (11, 128, 32)-net in base 3 | [i] | ||
| 39 | No (11, 129, 32)-net in base 3 | [i] | ||
| 40 | No (11, 130, 32)-net in base 3 | [i] | ||
| 41 | No (11, 131, 32)-net in base 3 | [i] | ||
| 42 | No (11, 132, 32)-net in base 3 | [i] | ||
| 43 | No (11, 133, 32)-net in base 3 | [i] | ||
| 44 | No (11, 134, 32)-net in base 3 | [i] | ||
| 45 | No (11, 135, 32)-net in base 3 | [i] | ||
| 46 | No (11, 136, 32)-net in base 3 | [i] | ||
| 47 | No (11, 137, 32)-net in base 3 | [i] | ||
| 48 | No (11, 138, 32)-net in base 3 | [i] | ||
| 49 | No (11, 139, 32)-net in base 3 | [i] | ||
| 50 | No (11, 140, 32)-net in base 3 | [i] | ||
| 51 | No (11, 141, 32)-net in base 3 | [i] | ||
| 52 | No (11, 142, 32)-net in base 3 | [i] | ||
| 53 | No (11, 143, 32)-net in base 3 | [i] | ||
| 54 | No (11, 144, 32)-net in base 3 | [i] | ||
| 55 | No (11, 145, 32)-net in base 3 | [i] | ||
| 56 | No (11, 146, 32)-net in base 3 | [i] | ||
| 57 | No (11, 147, 32)-net in base 3 | [i] | ||
| 58 | No (11, 148, 32)-net in base 3 | [i] | ||
| 59 | No (11, 149, 32)-net in base 3 | [i] | ||
| 60 | No (11, 150, 32)-net in base 3 | [i] | ||
| 61 | No (11, 151, 32)-net in base 3 | [i] | ||
| 62 | No (11, 152, 32)-net in base 3 | [i] | ||
| 63 | No (11, 153, 32)-net in base 3 | [i] | ||
| 64 | No (11, 154, 32)-net in base 3 | [i] | ||
| 65 | No (11, 155, 32)-net in base 3 | [i] | ||
| 66 | No (11, 156, 32)-net in base 3 | [i] | ||
| 67 | No (11, 157, 32)-net in base 3 | [i] | ||
| 68 | No (11, 158, 32)-net in base 3 | [i] | ||
| 69 | No (11, 159, 32)-net in base 3 | [i] | ||
| 70 | No (11, 160, 32)-net in base 3 | [i] | ||
| 71 | No (11, 161, 32)-net in base 3 | [i] | ||
| 72 | No (11, 162, 32)-net in base 3 | [i] | ||
| 73 | No (11, 163, 32)-net in base 3 | [i] | ||
| 74 | No (11, 164, 32)-net in base 3 | [i] | ||
| 75 | No (11, 165, 32)-net in base 3 | [i] | ||
| 76 | No (11, 166, 32)-net in base 3 | [i] | ||
| 77 | No (11, 167, 32)-net in base 3 | [i] | ||
| 78 | No (11, 168, 32)-net in base 3 | [i] | ||
| 79 | No (11, 169, 32)-net in base 3 | [i] | ||
| 80 | No (11, 170, 32)-net in base 3 | [i] | ||
| 81 | No (11, 171, 32)-net in base 3 | [i] | ||
| 82 | No (11, 172, 32)-net in base 3 | [i] | ||
| 83 | No (11, 173, 32)-net in base 3 | [i] | ||
| 84 | No (11, 174, 32)-net in base 3 | [i] | ||
| 85 | No (11, 175, 32)-net in base 3 | [i] | ||
| 86 | No (11, 176, 32)-net in base 3 | [i] | ||
| 87 | No (11, 177, 32)-net in base 3 | [i] | ||
| 88 | No (11, 178, 32)-net in base 3 | [i] | ||
| 89 | No (11, 179, 32)-net in base 3 | [i] | ||
| 90 | No (11, 180, 32)-net in base 3 | [i] | ||
| 91 | No (11, 181, 32)-net in base 3 | [i] | ||
| 92 | No (11, 182, 32)-net in base 3 | [i] | ||
| 93 | No (11, 183, 32)-net in base 3 | [i] | ||
| 94 | No (11, 184, 32)-net in base 3 | [i] | ||
| 95 | No (11, 185, 32)-net in base 3 | [i] | ||
| 96 | No (11, 186, 32)-net in base 3 | [i] | ||
| 97 | No (11, 187, 32)-net in base 3 | [i] | ||
| 98 | No (11, 188, 32)-net in base 3 | [i] | ||
| 99 | No (11, 189, 32)-net in base 3 | [i] | ||
| 100 | No (11, 190, 32)-net in base 3 | [i] | ||
| 101 | No (11, 191, 32)-net in base 3 | [i] | ||
| 102 | No (11, 192, 32)-net in base 3 | [i] | ||
| 103 | No (11, 193, 32)-net in base 3 | [i] | ||
| 104 | No (11, 194, 32)-net in base 3 | [i] | ||
| 105 | No (11, 195, 32)-net in base 3 | [i] | ||
| 106 | No (11, 196, 32)-net in base 3 | [i] | ||
| 107 | No (11, 197, 32)-net in base 3 | [i] | ||
| 108 | No (11, 198, 32)-net in base 3 | [i] | ||
| 109 | No (11, 199, 32)-net in base 3 | [i] | ||
| 110 | No (11, 200, 32)-net in base 3 | [i] | ||
| 111 | No (11, 201, 32)-net in base 3 | [i] | ||
| 112 | No (11, 202, 32)-net in base 3 | [i] | ||
| 113 | No (11, 203, 32)-net in base 3 | [i] | ||
| 114 | No (11, 204, 32)-net in base 3 | [i] | ||
| 115 | No (11, 205, 32)-net in base 3 | [i] | ||
| 116 | No (11, 206, 32)-net in base 3 | [i] | ||
| 117 | No (11, 207, 32)-net in base 3 | [i] | ||
| 118 | No (11, 208, 32)-net in base 3 | [i] | ||
| 119 | No (11, 209, 32)-net in base 3 | [i] | ||
| 120 | No (11, 210, 32)-net in base 3 | [i] | ||
| 121 | No (11, 211, 32)-net in base 3 | [i] | ||
| 122 | No (11, 212, 32)-net in base 3 | [i] | ||
| 123 | No (11, 213, 32)-net in base 3 | [i] | ||
| 124 | No (11, 214, 32)-net in base 3 | [i] | ||
| 125 | No (11, 215, 32)-net in base 3 | [i] | ||
| 126 | No (11, 216, 32)-net in base 3 | [i] | ||
| 127 | No (11, 217, 32)-net in base 3 | [i] | ||
| 128 | No (11, 218, 32)-net in base 3 | [i] | ||
| 129 | No (11, 219, 32)-net in base 3 | [i] | ||
| 130 | No (11, 220, 32)-net in base 3 | [i] | ||
| 131 | No (11, 221, 32)-net in base 3 | [i] | ||
| 132 | No (11, 222, 32)-net in base 3 | [i] | ||
| 133 | No (11, 223, 32)-net in base 3 | [i] | ||
| 134 | No (11, 224, 32)-net in base 3 | [i] | ||
| 135 | No (11, 225, 32)-net in base 3 | [i] | ||
| 136 | No (11, 226, 32)-net in base 3 | [i] | ||
| 137 | No (11, 227, 32)-net in base 3 | [i] | ||
| 138 | No (11, 228, 32)-net in base 3 | [i] | ||
| 139 | No (11, 229, 32)-net in base 3 | [i] | ||
| 140 | No (11, 230, 32)-net in base 3 | [i] | ||
| 141 | No (11, 231, 32)-net in base 3 | [i] | ||
| 142 | No (11, 232, 32)-net in base 3 | [i] | ||
| 143 | No (11, 233, 32)-net in base 3 | [i] | ||
| 144 | No (11, 234, 32)-net in base 3 | [i] | ||
| 145 | No (11, 235, 32)-net in base 3 | [i] | ||
| 146 | No (11, 236, 32)-net in base 3 | [i] | ||
| 147 | No (11, 237, 32)-net in base 3 | [i] | ||
| 148 | No (11, 238, 32)-net in base 3 | [i] | ||
| 149 | No (11, 239, 32)-net in base 3 | [i] | ||
| 150 | No (11, 240, 32)-net in base 3 | [i] | ||
| 151 | No (11, 241, 32)-net in base 3 | [i] | ||
| 152 | No (11, 242, 32)-net in base 3 | [i] | ||
| 153 | No (11, 243, 32)-net in base 3 | [i] | ||
| 154 | No (11, 244, 32)-net in base 3 | [i] | ||
| 155 | No (11, 245, 32)-net in base 3 | [i] | ||
| 156 | No (11, 246, 32)-net in base 3 | [i] | ||
| 157 | No (11, 247, 32)-net in base 3 | [i] | ||
| 158 | No (11, 248, 32)-net in base 3 | [i] | ||
| 159 | No (11, 249, 32)-net in base 3 | [i] | ||
| 160 | No (11, 250, 32)-net in base 3 | [i] | ||
| 161 | No (11, m, 32)-net in base 3 for arbitrarily large m | [i] | m-Reduction from Arbitrarily Large Net | |