Information on Result #521896
There is no (14, 158, 54)-net in base 4, because extracting embedded OOA would yield OOA(4158, 54, S4, 3, 144), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 24 563850 913090 465947 542749 620949 849317 931102 007101 506854 390978 489955 526846 477366 325264 063999 770624 / 145 > 4158 [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 (14, 159, 54)-net in base 4 | [i] | m-Reduction | |
| 2 | No (14, 160, 54)-net in base 4 | [i] | ||
| 3 | No (14, 161, 54)-net in base 4 | [i] | ||
| 4 | No (14, 162, 54)-net in base 4 | [i] | ||
| 5 | No (14, 163, 54)-net in base 4 | [i] | ||
| 6 | No (14, 164, 54)-net in base 4 | [i] | ||
| 7 | No (14, 165, 54)-net in base 4 | [i] | ||
| 8 | No (14, 166, 54)-net in base 4 | [i] | ||
| 9 | No (14, 167, 54)-net in base 4 | [i] | ||
| 10 | No (14, 168, 54)-net in base 4 | [i] | ||
| 11 | No (14, 169, 54)-net in base 4 | [i] | ||
| 12 | No (14, 170, 54)-net in base 4 | [i] | ||
| 13 | No (14, 171, 54)-net in base 4 | [i] | ||
| 14 | No (14, 172, 54)-net in base 4 | [i] | ||
| 15 | No (14, 173, 54)-net in base 4 | [i] | ||
| 16 | No (14, 174, 54)-net in base 4 | [i] | ||
| 17 | No (14, 175, 54)-net in base 4 | [i] | ||
| 18 | No (14, 176, 54)-net in base 4 | [i] | ||
| 19 | No (14, 177, 54)-net in base 4 | [i] | ||
| 20 | No (14, 178, 54)-net in base 4 | [i] | ||
| 21 | No (14, 179, 54)-net in base 4 | [i] | ||
| 22 | No (14, 180, 54)-net in base 4 | [i] | ||
| 23 | No (14, 181, 54)-net in base 4 | [i] | ||
| 24 | No (14, 182, 54)-net in base 4 | [i] | ||
| 25 | No (14, 183, 54)-net in base 4 | [i] | ||
| 26 | No (14, 184, 54)-net in base 4 | [i] | ||
| 27 | No (14, 185, 54)-net in base 4 | [i] | ||
| 28 | No (14, 186, 54)-net in base 4 | [i] | ||
| 29 | No (14, 187, 54)-net in base 4 | [i] | ||
| 30 | No (14, 188, 54)-net in base 4 | [i] | ||
| 31 | No (14, 189, 54)-net in base 4 | [i] | ||
| 32 | No (14, 190, 54)-net in base 4 | [i] | ||
| 33 | No (14, 191, 54)-net in base 4 | [i] | ||
| 34 | No (14, 192, 54)-net in base 4 | [i] | ||
| 35 | No (14, 193, 54)-net in base 4 | [i] | ||
| 36 | No (14, 194, 54)-net in base 4 | [i] | ||
| 37 | No (14, 195, 54)-net in base 4 | [i] | ||
| 38 | No (14, 196, 54)-net in base 4 | [i] | ||
| 39 | No (14, 197, 54)-net in base 4 | [i] | ||
| 40 | No (14, 198, 54)-net in base 4 | [i] | ||
| 41 | No (14, 199, 54)-net in base 4 | [i] | ||
| 42 | No (14, 200, 54)-net in base 4 | [i] | ||
| 43 | No (14, 201, 54)-net in base 4 | [i] | ||
| 44 | No (14, 202, 54)-net in base 4 | [i] | ||
| 45 | No (14, 203, 54)-net in base 4 | [i] | ||
| 46 | No (14, 204, 54)-net in base 4 | [i] | ||
| 47 | No (14, 205, 54)-net in base 4 | [i] | ||
| 48 | No (14, 206, 54)-net in base 4 | [i] | ||
| 49 | No (14, 207, 54)-net in base 4 | [i] | ||
| 50 | No (14, 208, 54)-net in base 4 | [i] | ||
| 51 | No (14, 209, 54)-net in base 4 | [i] | ||
| 52 | No (14, 210, 54)-net in base 4 | [i] | ||
| 53 | No (14, 211, 54)-net in base 4 | [i] | ||
| 54 | No (14, 212, 54)-net in base 4 | [i] | ||
| 55 | No (14, 213, 54)-net in base 4 | [i] | ||
| 56 | No (14, 214, 54)-net in base 4 | [i] | ||
| 57 | No (14, 215, 54)-net in base 4 | [i] | ||
| 58 | No (14, 216, 54)-net in base 4 | [i] | ||
| 59 | No (14, 217, 54)-net in base 4 | [i] | ||
| 60 | No (14, 218, 54)-net in base 4 | [i] | ||
| 61 | No (14, 219, 54)-net in base 4 | [i] | ||
| 62 | No (14, 220, 54)-net in base 4 | [i] | ||
| 63 | No (14, 221, 54)-net in base 4 | [i] | ||
| 64 | No (14, 222, 54)-net in base 4 | [i] | ||
| 65 | No (14, 223, 54)-net in base 4 | [i] | ||
| 66 | No (14, 224, 54)-net in base 4 | [i] | ||
| 67 | No (14, 225, 54)-net in base 4 | [i] | ||
| 68 | No (14, 226, 54)-net in base 4 | [i] | ||
| 69 | No (14, 227, 54)-net in base 4 | [i] | ||
| 70 | No (14, 228, 54)-net in base 4 | [i] | ||
| 71 | No (14, 229, 54)-net in base 4 | [i] | ||
| 72 | No (14, 230, 54)-net in base 4 | [i] | ||
| 73 | No (14, 231, 54)-net in base 4 | [i] | ||
| 74 | No (14, 232, 54)-net in base 4 | [i] | ||
| 75 | No (14, 233, 54)-net in base 4 | [i] | ||
| 76 | No (14, 234, 54)-net in base 4 | [i] | ||
| 77 | No (14, 235, 54)-net in base 4 | [i] | ||
| 78 | No (14, 236, 54)-net in base 4 | [i] | ||
| 79 | No (14, 237, 54)-net in base 4 | [i] | ||
| 80 | No (14, 238, 54)-net in base 4 | [i] | ||
| 81 | No (14, 239, 54)-net in base 4 | [i] | ||
| 82 | No (14, 240, 54)-net in base 4 | [i] | ||
| 83 | No (14, 241, 54)-net in base 4 | [i] | ||
| 84 | No (14, 242, 54)-net in base 4 | [i] | ||
| 85 | No (14, 243, 54)-net in base 4 | [i] | ||
| 86 | No (14, 244, 54)-net in base 4 | [i] | ||
| 87 | No (14, 245, 54)-net in base 4 | [i] | ||
| 88 | No (14, 246, 54)-net in base 4 | [i] | ||
| 89 | No (14, 247, 54)-net in base 4 | [i] | ||
| 90 | No (14, 248, 54)-net in base 4 | [i] | ||
| 91 | No (14, 249, 54)-net in base 4 | [i] | ||
| 92 | No (14, 250, 54)-net in base 4 | [i] | ||
| 93 | No (14, 251, 54)-net in base 4 | [i] | ||
| 94 | No (14, 252, 54)-net in base 4 | [i] | ||
| 95 | No (14, 253, 54)-net in base 4 | [i] | ||
| 96 | No (14, 254, 54)-net in base 4 | [i] | ||
| 97 | No (14, 255, 54)-net in base 4 | [i] | ||
| 98 | No (14, 256, 54)-net in base 4 | [i] | ||
| 99 | No (14, 257, 54)-net in base 4 | [i] | ||
| 100 | No (14, 258, 54)-net in base 4 | [i] | ||
| 101 | No (14, 259, 54)-net in base 4 | [i] | ||
| 102 | No (14, 260, 54)-net in base 4 | [i] | ||
| 103 | No (14, m, 54)-net in base 4 for arbitrarily large m | [i] | m-Reduction from Arbitrarily Large Net | |