Information on Result #521881
There is no (13, 149, 51)-net in base 4, because extracting embedded OOA would yield OOA(4149, 51, S4, 3, 136), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 95 740690 887720 846054 616947 355240 773569 419014 502299 003779 898601 119655 921088 876825 190619 676672 / 137 > 4149 [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 (13, 150, 51)-net in base 4 | [i] | m-Reduction | |
| 2 | No (13, 151, 51)-net in base 4 | [i] | ||
| 3 | No (13, 152, 51)-net in base 4 | [i] | ||
| 4 | No (13, 153, 51)-net in base 4 | [i] | ||
| 5 | No (13, 154, 51)-net in base 4 | [i] | ||
| 6 | No (13, 155, 51)-net in base 4 | [i] | ||
| 7 | No (13, 156, 51)-net in base 4 | [i] | ||
| 8 | No (13, 157, 51)-net in base 4 | [i] | ||
| 9 | No (13, 158, 51)-net in base 4 | [i] | ||
| 10 | No (13, 159, 51)-net in base 4 | [i] | ||
| 11 | No (13, 160, 51)-net in base 4 | [i] | ||
| 12 | No (13, 161, 51)-net in base 4 | [i] | ||
| 13 | No (13, 162, 51)-net in base 4 | [i] | ||
| 14 | No (13, 163, 51)-net in base 4 | [i] | ||
| 15 | No (13, 164, 51)-net in base 4 | [i] | ||
| 16 | No (13, 165, 51)-net in base 4 | [i] | ||
| 17 | No (13, 166, 51)-net in base 4 | [i] | ||
| 18 | No (13, 167, 51)-net in base 4 | [i] | ||
| 19 | No (13, 168, 51)-net in base 4 | [i] | ||
| 20 | No (13, 169, 51)-net in base 4 | [i] | ||
| 21 | No (13, 170, 51)-net in base 4 | [i] | ||
| 22 | No (13, 171, 51)-net in base 4 | [i] | ||
| 23 | No (13, 172, 51)-net in base 4 | [i] | ||
| 24 | No (13, 173, 51)-net in base 4 | [i] | ||
| 25 | No (13, 174, 51)-net in base 4 | [i] | ||
| 26 | No (13, 175, 51)-net in base 4 | [i] | ||
| 27 | No (13, 176, 51)-net in base 4 | [i] | ||
| 28 | No (13, 177, 51)-net in base 4 | [i] | ||
| 29 | No (13, 178, 51)-net in base 4 | [i] | ||
| 30 | No (13, 179, 51)-net in base 4 | [i] | ||
| 31 | No (13, 180, 51)-net in base 4 | [i] | ||
| 32 | No (13, 181, 51)-net in base 4 | [i] | ||
| 33 | No (13, 182, 51)-net in base 4 | [i] | ||
| 34 | No (13, 183, 51)-net in base 4 | [i] | ||
| 35 | No (13, 184, 51)-net in base 4 | [i] | ||
| 36 | No (13, 185, 51)-net in base 4 | [i] | ||
| 37 | No (13, 186, 51)-net in base 4 | [i] | ||
| 38 | No (13, 187, 51)-net in base 4 | [i] | ||
| 39 | No (13, 188, 51)-net in base 4 | [i] | ||
| 40 | No (13, 189, 51)-net in base 4 | [i] | ||
| 41 | No (13, 190, 51)-net in base 4 | [i] | ||
| 42 | No (13, 191, 51)-net in base 4 | [i] | ||
| 43 | No (13, 192, 51)-net in base 4 | [i] | ||
| 44 | No (13, 193, 51)-net in base 4 | [i] | ||
| 45 | No (13, 194, 51)-net in base 4 | [i] | ||
| 46 | No (13, 195, 51)-net in base 4 | [i] | ||
| 47 | No (13, 196, 51)-net in base 4 | [i] | ||
| 48 | No (13, 197, 51)-net in base 4 | [i] | ||
| 49 | No (13, 198, 51)-net in base 4 | [i] | ||
| 50 | No (13, 199, 51)-net in base 4 | [i] | ||
| 51 | No (13, 200, 51)-net in base 4 | [i] | ||
| 52 | No (13, 201, 51)-net in base 4 | [i] | ||
| 53 | No (13, 202, 51)-net in base 4 | [i] | ||
| 54 | No (13, 203, 51)-net in base 4 | [i] | ||
| 55 | No (13, 204, 51)-net in base 4 | [i] | ||
| 56 | No (13, 205, 51)-net in base 4 | [i] | ||
| 57 | No (13, 206, 51)-net in base 4 | [i] | ||
| 58 | No (13, 207, 51)-net in base 4 | [i] | ||
| 59 | No (13, 208, 51)-net in base 4 | [i] | ||
| 60 | No (13, 209, 51)-net in base 4 | [i] | ||
| 61 | No (13, 210, 51)-net in base 4 | [i] | ||
| 62 | No (13, 211, 51)-net in base 4 | [i] | ||
| 63 | No (13, 212, 51)-net in base 4 | [i] | ||
| 64 | No (13, 213, 51)-net in base 4 | [i] | ||
| 65 | No (13, 214, 51)-net in base 4 | [i] | ||
| 66 | No (13, 215, 51)-net in base 4 | [i] | ||
| 67 | No (13, 216, 51)-net in base 4 | [i] | ||
| 68 | No (13, 217, 51)-net in base 4 | [i] | ||
| 69 | No (13, 218, 51)-net in base 4 | [i] | ||
| 70 | No (13, 219, 51)-net in base 4 | [i] | ||
| 71 | No (13, 220, 51)-net in base 4 | [i] | ||
| 72 | No (13, 221, 51)-net in base 4 | [i] | ||
| 73 | No (13, 222, 51)-net in base 4 | [i] | ||
| 74 | No (13, 223, 51)-net in base 4 | [i] | ||
| 75 | No (13, 224, 51)-net in base 4 | [i] | ||
| 76 | No (13, 225, 51)-net in base 4 | [i] | ||
| 77 | No (13, 226, 51)-net in base 4 | [i] | ||
| 78 | No (13, 227, 51)-net in base 4 | [i] | ||
| 79 | No (13, 228, 51)-net in base 4 | [i] | ||
| 80 | No (13, 229, 51)-net in base 4 | [i] | ||
| 81 | No (13, 230, 51)-net in base 4 | [i] | ||
| 82 | No (13, 231, 51)-net in base 4 | [i] | ||
| 83 | No (13, 232, 51)-net in base 4 | [i] | ||
| 84 | No (13, 233, 51)-net in base 4 | [i] | ||
| 85 | No (13, 234, 51)-net in base 4 | [i] | ||
| 86 | No (13, 235, 51)-net in base 4 | [i] | ||
| 87 | No (13, 236, 51)-net in base 4 | [i] | ||
| 88 | No (13, 237, 51)-net in base 4 | [i] | ||
| 89 | No (13, 238, 51)-net in base 4 | [i] | ||
| 90 | No (13, 239, 51)-net in base 4 | [i] | ||
| 91 | No (13, 240, 51)-net in base 4 | [i] | ||
| 92 | No (13, 241, 51)-net in base 4 | [i] | ||
| 93 | No (13, 242, 51)-net in base 4 | [i] | ||
| 94 | No (13, 243, 51)-net in base 4 | [i] | ||
| 95 | No (13, 244, 51)-net in base 4 | [i] | ||
| 96 | No (13, 245, 51)-net in base 4 | [i] | ||
| 97 | No (13, 246, 51)-net in base 4 | [i] | ||
| 98 | No (13, 247, 51)-net in base 4 | [i] | ||
| 99 | No (13, 248, 51)-net in base 4 | [i] | ||
| 100 | No (13, 249, 51)-net in base 4 | [i] | ||
| 101 | No (13, 250, 51)-net in base 4 | [i] | ||
| 102 | No (13, 251, 51)-net in base 4 | [i] | ||
| 103 | No (13, 252, 51)-net in base 4 | [i] | ||
| 104 | No (13, 253, 51)-net in base 4 | [i] | ||
| 105 | No (13, 254, 51)-net in base 4 | [i] | ||
| 106 | No (13, 255, 51)-net in base 4 | [i] | ||
| 107 | No (13, 256, 51)-net in base 4 | [i] | ||
| 108 | No (13, 257, 51)-net in base 4 | [i] | ||
| 109 | No (13, 258, 51)-net in base 4 | [i] | ||
| 110 | No (13, 259, 51)-net in base 4 | [i] | ||
| 111 | No (13, 260, 51)-net in base 4 | [i] | ||
| 112 | No (13, m, 51)-net in base 4 for arbitrarily large m | [i] | m-Reduction from Arbitrarily Large Net | |