Information on Result #521866
There is no (12, 140, 48)-net in base 4, because extracting embedded OOA would yield OOA(4140, 48, S4, 3, 128), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 124 330809 102446 660538 845562 036705 210025 114037 699336 929360 115994 223289 874253 133343 883264 / 43 > 4140 [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 (12, 141, 48)-net in base 4 | [i] | m-Reduction | |
| 2 | No (12, 142, 48)-net in base 4 | [i] | ||
| 3 | No (12, 143, 48)-net in base 4 | [i] | ||
| 4 | No (12, 144, 48)-net in base 4 | [i] | ||
| 5 | No (12, 145, 48)-net in base 4 | [i] | ||
| 6 | No (12, 146, 48)-net in base 4 | [i] | ||
| 7 | No (12, 147, 48)-net in base 4 | [i] | ||
| 8 | No (12, 148, 48)-net in base 4 | [i] | ||
| 9 | No (12, 149, 48)-net in base 4 | [i] | ||
| 10 | No (12, 150, 48)-net in base 4 | [i] | ||
| 11 | No (12, 151, 48)-net in base 4 | [i] | ||
| 12 | No (12, 152, 48)-net in base 4 | [i] | ||
| 13 | No (12, 153, 48)-net in base 4 | [i] | ||
| 14 | No (12, 154, 48)-net in base 4 | [i] | ||
| 15 | No (12, 155, 48)-net in base 4 | [i] | ||
| 16 | No (12, 156, 48)-net in base 4 | [i] | ||
| 17 | No (12, 157, 48)-net in base 4 | [i] | ||
| 18 | No (12, 158, 48)-net in base 4 | [i] | ||
| 19 | No (12, 159, 48)-net in base 4 | [i] | ||
| 20 | No (12, 160, 48)-net in base 4 | [i] | ||
| 21 | No (12, 161, 48)-net in base 4 | [i] | ||
| 22 | No (12, 162, 48)-net in base 4 | [i] | ||
| 23 | No (12, 163, 48)-net in base 4 | [i] | ||
| 24 | No (12, 164, 48)-net in base 4 | [i] | ||
| 25 | No (12, 165, 48)-net in base 4 | [i] | ||
| 26 | No (12, 166, 48)-net in base 4 | [i] | ||
| 27 | No (12, 167, 48)-net in base 4 | [i] | ||
| 28 | No (12, 168, 48)-net in base 4 | [i] | ||
| 29 | No (12, 169, 48)-net in base 4 | [i] | ||
| 30 | No (12, 170, 48)-net in base 4 | [i] | ||
| 31 | No (12, 171, 48)-net in base 4 | [i] | ||
| 32 | No (12, 172, 48)-net in base 4 | [i] | ||
| 33 | No (12, 173, 48)-net in base 4 | [i] | ||
| 34 | No (12, 174, 48)-net in base 4 | [i] | ||
| 35 | No (12, 175, 48)-net in base 4 | [i] | ||
| 36 | No (12, 176, 48)-net in base 4 | [i] | ||
| 37 | No (12, 177, 48)-net in base 4 | [i] | ||
| 38 | No (12, 178, 48)-net in base 4 | [i] | ||
| 39 | No (12, 179, 48)-net in base 4 | [i] | ||
| 40 | No (12, 180, 48)-net in base 4 | [i] | ||
| 41 | No (12, 181, 48)-net in base 4 | [i] | ||
| 42 | No (12, 182, 48)-net in base 4 | [i] | ||
| 43 | No (12, 183, 48)-net in base 4 | [i] | ||
| 44 | No (12, 184, 48)-net in base 4 | [i] | ||
| 45 | No (12, 185, 48)-net in base 4 | [i] | ||
| 46 | No (12, 186, 48)-net in base 4 | [i] | ||
| 47 | No (12, 187, 48)-net in base 4 | [i] | ||
| 48 | No (12, 188, 48)-net in base 4 | [i] | ||
| 49 | No (12, 189, 48)-net in base 4 | [i] | ||
| 50 | No (12, 190, 48)-net in base 4 | [i] | ||
| 51 | No (12, 191, 48)-net in base 4 | [i] | ||
| 52 | No (12, 192, 48)-net in base 4 | [i] | ||
| 53 | No (12, 193, 48)-net in base 4 | [i] | ||
| 54 | No (12, 194, 48)-net in base 4 | [i] | ||
| 55 | No (12, 195, 48)-net in base 4 | [i] | ||
| 56 | No (12, 196, 48)-net in base 4 | [i] | ||
| 57 | No (12, 197, 48)-net in base 4 | [i] | ||
| 58 | No (12, 198, 48)-net in base 4 | [i] | ||
| 59 | No (12, 199, 48)-net in base 4 | [i] | ||
| 60 | No (12, 200, 48)-net in base 4 | [i] | ||
| 61 | No (12, 201, 48)-net in base 4 | [i] | ||
| 62 | No (12, 202, 48)-net in base 4 | [i] | ||
| 63 | No (12, 203, 48)-net in base 4 | [i] | ||
| 64 | No (12, 204, 48)-net in base 4 | [i] | ||
| 65 | No (12, 205, 48)-net in base 4 | [i] | ||
| 66 | No (12, 206, 48)-net in base 4 | [i] | ||
| 67 | No (12, 207, 48)-net in base 4 | [i] | ||
| 68 | No (12, 208, 48)-net in base 4 | [i] | ||
| 69 | No (12, 209, 48)-net in base 4 | [i] | ||
| 70 | No (12, 210, 48)-net in base 4 | [i] | ||
| 71 | No (12, 211, 48)-net in base 4 | [i] | ||
| 72 | No (12, 212, 48)-net in base 4 | [i] | ||
| 73 | No (12, 213, 48)-net in base 4 | [i] | ||
| 74 | No (12, 214, 48)-net in base 4 | [i] | ||
| 75 | No (12, 215, 48)-net in base 4 | [i] | ||
| 76 | No (12, 216, 48)-net in base 4 | [i] | ||
| 77 | No (12, 217, 48)-net in base 4 | [i] | ||
| 78 | No (12, 218, 48)-net in base 4 | [i] | ||
| 79 | No (12, 219, 48)-net in base 4 | [i] | ||
| 80 | No (12, 220, 48)-net in base 4 | [i] | ||
| 81 | No (12, 221, 48)-net in base 4 | [i] | ||
| 82 | No (12, 222, 48)-net in base 4 | [i] | ||
| 83 | No (12, 223, 48)-net in base 4 | [i] | ||
| 84 | No (12, 224, 48)-net in base 4 | [i] | ||
| 85 | No (12, 225, 48)-net in base 4 | [i] | ||
| 86 | No (12, 226, 48)-net in base 4 | [i] | ||
| 87 | No (12, 227, 48)-net in base 4 | [i] | ||
| 88 | No (12, 228, 48)-net in base 4 | [i] | ||
| 89 | No (12, 229, 48)-net in base 4 | [i] | ||
| 90 | No (12, 230, 48)-net in base 4 | [i] | ||
| 91 | No (12, 231, 48)-net in base 4 | [i] | ||
| 92 | No (12, 232, 48)-net in base 4 | [i] | ||
| 93 | No (12, 233, 48)-net in base 4 | [i] | ||
| 94 | No (12, 234, 48)-net in base 4 | [i] | ||
| 95 | No (12, 235, 48)-net in base 4 | [i] | ||
| 96 | No (12, 236, 48)-net in base 4 | [i] | ||
| 97 | No (12, 237, 48)-net in base 4 | [i] | ||
| 98 | No (12, 238, 48)-net in base 4 | [i] | ||
| 99 | No (12, 239, 48)-net in base 4 | [i] | ||
| 100 | No (12, 240, 48)-net in base 4 | [i] | ||
| 101 | No (12, 241, 48)-net in base 4 | [i] | ||
| 102 | No (12, 242, 48)-net in base 4 | [i] | ||
| 103 | No (12, 243, 48)-net in base 4 | [i] | ||
| 104 | No (12, 244, 48)-net in base 4 | [i] | ||
| 105 | No (12, 245, 48)-net in base 4 | [i] | ||
| 106 | No (12, 246, 48)-net in base 4 | [i] | ||
| 107 | No (12, 247, 48)-net in base 4 | [i] | ||
| 108 | No (12, 248, 48)-net in base 4 | [i] | ||
| 109 | No (12, 249, 48)-net in base 4 | [i] | ||
| 110 | No (12, 250, 48)-net in base 4 | [i] | ||
| 111 | No (12, 251, 48)-net in base 4 | [i] | ||
| 112 | No (12, 252, 48)-net in base 4 | [i] | ||
| 113 | No (12, 253, 48)-net in base 4 | [i] | ||
| 114 | No (12, 254, 48)-net in base 4 | [i] | ||
| 115 | No (12, 255, 48)-net in base 4 | [i] | ||
| 116 | No (12, 256, 48)-net in base 4 | [i] | ||
| 117 | No (12, 257, 48)-net in base 4 | [i] | ||
| 118 | No (12, 258, 48)-net in base 4 | [i] | ||
| 119 | No (12, 259, 48)-net in base 4 | [i] | ||
| 120 | No (12, 260, 48)-net in base 4 | [i] | ||
| 121 | No (12, m, 48)-net in base 4 for arbitrarily large m | [i] | m-Reduction from Arbitrarily Large Net | |