Information on Result #521853
There is no (11, 131, 45)-net in base 4, because extracting embedded OOA would yield OOA(4131, 45, S4, 3, 120), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 1452 495967 392894 355393 274435 948981 116111 418687 645795 235310 955933 795262 298203 357184 / 121 > 4131 [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, 132, 45)-net in base 4 | [i] | m-Reduction | |
| 2 | No (11, 133, 45)-net in base 4 | [i] | ||
| 3 | No (11, 134, 45)-net in base 4 | [i] | ||
| 4 | No (11, 135, 45)-net in base 4 | [i] | ||
| 5 | No (11, 136, 45)-net in base 4 | [i] | ||
| 6 | No (11, 137, 45)-net in base 4 | [i] | ||
| 7 | No (11, 138, 45)-net in base 4 | [i] | ||
| 8 | No (11, 139, 45)-net in base 4 | [i] | ||
| 9 | No (11, 140, 45)-net in base 4 | [i] | ||
| 10 | No (11, 141, 45)-net in base 4 | [i] | ||
| 11 | No (11, 142, 45)-net in base 4 | [i] | ||
| 12 | No (11, 143, 45)-net in base 4 | [i] | ||
| 13 | No (11, 144, 45)-net in base 4 | [i] | ||
| 14 | No (11, 145, 45)-net in base 4 | [i] | ||
| 15 | No (11, 146, 45)-net in base 4 | [i] | ||
| 16 | No (11, 147, 45)-net in base 4 | [i] | ||
| 17 | No (11, 148, 45)-net in base 4 | [i] | ||
| 18 | No (11, 149, 45)-net in base 4 | [i] | ||
| 19 | No (11, 150, 45)-net in base 4 | [i] | ||
| 20 | No (11, 151, 45)-net in base 4 | [i] | ||
| 21 | No (11, 152, 45)-net in base 4 | [i] | ||
| 22 | No (11, 153, 45)-net in base 4 | [i] | ||
| 23 | No (11, 154, 45)-net in base 4 | [i] | ||
| 24 | No (11, 155, 45)-net in base 4 | [i] | ||
| 25 | No (11, 156, 45)-net in base 4 | [i] | ||
| 26 | No (11, 157, 45)-net in base 4 | [i] | ||
| 27 | No (11, 158, 45)-net in base 4 | [i] | ||
| 28 | No (11, 159, 45)-net in base 4 | [i] | ||
| 29 | No (11, 160, 45)-net in base 4 | [i] | ||
| 30 | No (11, 161, 45)-net in base 4 | [i] | ||
| 31 | No (11, 162, 45)-net in base 4 | [i] | ||
| 32 | No (11, 163, 45)-net in base 4 | [i] | ||
| 33 | No (11, 164, 45)-net in base 4 | [i] | ||
| 34 | No (11, 165, 45)-net in base 4 | [i] | ||
| 35 | No (11, 166, 45)-net in base 4 | [i] | ||
| 36 | No (11, 167, 45)-net in base 4 | [i] | ||
| 37 | No (11, 168, 45)-net in base 4 | [i] | ||
| 38 | No (11, 169, 45)-net in base 4 | [i] | ||
| 39 | No (11, 170, 45)-net in base 4 | [i] | ||
| 40 | No (11, 171, 45)-net in base 4 | [i] | ||
| 41 | No (11, 172, 45)-net in base 4 | [i] | ||
| 42 | No (11, 173, 45)-net in base 4 | [i] | ||
| 43 | No (11, 174, 45)-net in base 4 | [i] | ||
| 44 | No (11, 175, 45)-net in base 4 | [i] | ||
| 45 | No (11, 176, 45)-net in base 4 | [i] | ||
| 46 | No (11, 177, 45)-net in base 4 | [i] | ||
| 47 | No (11, 178, 45)-net in base 4 | [i] | ||
| 48 | No (11, 179, 45)-net in base 4 | [i] | ||
| 49 | No (11, 180, 45)-net in base 4 | [i] | ||
| 50 | No (11, 181, 45)-net in base 4 | [i] | ||
| 51 | No (11, 182, 45)-net in base 4 | [i] | ||
| 52 | No (11, 183, 45)-net in base 4 | [i] | ||
| 53 | No (11, 184, 45)-net in base 4 | [i] | ||
| 54 | No (11, 185, 45)-net in base 4 | [i] | ||
| 55 | No (11, 186, 45)-net in base 4 | [i] | ||
| 56 | No (11, 187, 45)-net in base 4 | [i] | ||
| 57 | No (11, 188, 45)-net in base 4 | [i] | ||
| 58 | No (11, 189, 45)-net in base 4 | [i] | ||
| 59 | No (11, 190, 45)-net in base 4 | [i] | ||
| 60 | No (11, 191, 45)-net in base 4 | [i] | ||
| 61 | No (11, 192, 45)-net in base 4 | [i] | ||
| 62 | No (11, 193, 45)-net in base 4 | [i] | ||
| 63 | No (11, 194, 45)-net in base 4 | [i] | ||
| 64 | No (11, 195, 45)-net in base 4 | [i] | ||
| 65 | No (11, 196, 45)-net in base 4 | [i] | ||
| 66 | No (11, 197, 45)-net in base 4 | [i] | ||
| 67 | No (11, 198, 45)-net in base 4 | [i] | ||
| 68 | No (11, 199, 45)-net in base 4 | [i] | ||
| 69 | No (11, 200, 45)-net in base 4 | [i] | ||
| 70 | No (11, 201, 45)-net in base 4 | [i] | ||
| 71 | No (11, 202, 45)-net in base 4 | [i] | ||
| 72 | No (11, 203, 45)-net in base 4 | [i] | ||
| 73 | No (11, 204, 45)-net in base 4 | [i] | ||
| 74 | No (11, 205, 45)-net in base 4 | [i] | ||
| 75 | No (11, 206, 45)-net in base 4 | [i] | ||
| 76 | No (11, 207, 45)-net in base 4 | [i] | ||
| 77 | No (11, 208, 45)-net in base 4 | [i] | ||
| 78 | No (11, 209, 45)-net in base 4 | [i] | ||
| 79 | No (11, 210, 45)-net in base 4 | [i] | ||
| 80 | No (11, 211, 45)-net in base 4 | [i] | ||
| 81 | No (11, 212, 45)-net in base 4 | [i] | ||
| 82 | No (11, 213, 45)-net in base 4 | [i] | ||
| 83 | No (11, 214, 45)-net in base 4 | [i] | ||
| 84 | No (11, 215, 45)-net in base 4 | [i] | ||
| 85 | No (11, 216, 45)-net in base 4 | [i] | ||
| 86 | No (11, 217, 45)-net in base 4 | [i] | ||
| 87 | No (11, 218, 45)-net in base 4 | [i] | ||
| 88 | No (11, 219, 45)-net in base 4 | [i] | ||
| 89 | No (11, 220, 45)-net in base 4 | [i] | ||
| 90 | No (11, 221, 45)-net in base 4 | [i] | ||
| 91 | No (11, 222, 45)-net in base 4 | [i] | ||
| 92 | No (11, 223, 45)-net in base 4 | [i] | ||
| 93 | No (11, 224, 45)-net in base 4 | [i] | ||
| 94 | No (11, 225, 45)-net in base 4 | [i] | ||
| 95 | No (11, 226, 45)-net in base 4 | [i] | ||
| 96 | No (11, 227, 45)-net in base 4 | [i] | ||
| 97 | No (11, 228, 45)-net in base 4 | [i] | ||
| 98 | No (11, 229, 45)-net in base 4 | [i] | ||
| 99 | No (11, 230, 45)-net in base 4 | [i] | ||
| 100 | No (11, 231, 45)-net in base 4 | [i] | ||
| 101 | No (11, 232, 45)-net in base 4 | [i] | ||
| 102 | No (11, 233, 45)-net in base 4 | [i] | ||
| 103 | No (11, 234, 45)-net in base 4 | [i] | ||
| 104 | No (11, 235, 45)-net in base 4 | [i] | ||
| 105 | No (11, 236, 45)-net in base 4 | [i] | ||
| 106 | No (11, 237, 45)-net in base 4 | [i] | ||
| 107 | No (11, 238, 45)-net in base 4 | [i] | ||
| 108 | No (11, 239, 45)-net in base 4 | [i] | ||
| 109 | No (11, 240, 45)-net in base 4 | [i] | ||
| 110 | No (11, 241, 45)-net in base 4 | [i] | ||
| 111 | No (11, 242, 45)-net in base 4 | [i] | ||
| 112 | No (11, 243, 45)-net in base 4 | [i] | ||
| 113 | No (11, 244, 45)-net in base 4 | [i] | ||
| 114 | No (11, 245, 45)-net in base 4 | [i] | ||
| 115 | No (11, 246, 45)-net in base 4 | [i] | ||
| 116 | No (11, 247, 45)-net in base 4 | [i] | ||
| 117 | No (11, 248, 45)-net in base 4 | [i] | ||
| 118 | No (11, 249, 45)-net in base 4 | [i] | ||
| 119 | No (11, 250, 45)-net in base 4 | [i] | ||
| 120 | No (11, 251, 45)-net in base 4 | [i] | ||
| 121 | No (11, 252, 45)-net in base 4 | [i] | ||
| 122 | No (11, 253, 45)-net in base 4 | [i] | ||
| 123 | No (11, 254, 45)-net in base 4 | [i] | ||
| 124 | No (11, 255, 45)-net in base 4 | [i] | ||
| 125 | No (11, 256, 45)-net in base 4 | [i] | ||
| 126 | No (11, 257, 45)-net in base 4 | [i] | ||
| 127 | No (11, 258, 45)-net in base 4 | [i] | ||
| 128 | No (11, 259, 45)-net in base 4 | [i] | ||
| 129 | No (11, 260, 45)-net in base 4 | [i] | ||
| 130 | No (11, m, 45)-net in base 4 for arbitrarily large m | [i] | m-Reduction from Arbitrarily Large Net | |