Information on Result #522239
There is no (39, 167, 171)-net in base 4, because extracting embedded orthogonal array would yield OA(4167, 171, S4, 128), but
- the (dual) Plotkin bound shows that M ≥ 2 239744 742177 804210 557442 280568 444278 121645 497234 649534 899989 100963 791871 180160 945380 877493 271607 115776 / 43 > 4167 [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 (39, 168, 171)-net in base 4 | [i] | m-Reduction | |
| 2 | No (39, 169, 171)-net in base 4 | [i] | ||
| 3 | No (39, 170, 171)-net in base 4 | [i] | ||
| 4 | No (39, 171, 171)-net in base 4 | [i] | ||
| 5 | No (39, 172, 171)-net in base 4 | [i] | ||
| 6 | No (39, 173, 171)-net in base 4 | [i] | ||
| 7 | No (39, 174, 171)-net in base 4 | [i] | ||
| 8 | No (39, 175, 171)-net in base 4 | [i] | ||
| 9 | No (39, 176, 171)-net in base 4 | [i] | ||
| 10 | No (39, 177, 171)-net in base 4 | [i] | ||
| 11 | No (39, 178, 171)-net in base 4 | [i] | ||
| 12 | No (39, 179, 171)-net in base 4 | [i] | ||
| 13 | No (39, 180, 171)-net in base 4 | [i] | ||
| 14 | No (39, 181, 171)-net in base 4 | [i] | ||
| 15 | No (39, 182, 171)-net in base 4 | [i] | ||
| 16 | No (39, 183, 171)-net in base 4 | [i] | ||
| 17 | No (39, 184, 171)-net in base 4 | [i] | ||
| 18 | No (39, 185, 171)-net in base 4 | [i] | ||
| 19 | No (39, 186, 171)-net in base 4 | [i] | ||
| 20 | No (39, 187, 171)-net in base 4 | [i] | ||
| 21 | No (39, 188, 171)-net in base 4 | [i] | ||
| 22 | No (39, 189, 171)-net in base 4 | [i] | ||
| 23 | No (39, 190, 171)-net in base 4 | [i] | ||
| 24 | No (39, 191, 171)-net in base 4 | [i] | ||
| 25 | No (39, 192, 171)-net in base 4 | [i] | ||
| 26 | No (39, 193, 171)-net in base 4 | [i] | ||
| 27 | No (39, 194, 171)-net in base 4 | [i] | ||
| 28 | No (39, 195, 171)-net in base 4 | [i] | ||
| 29 | No (39, 196, 171)-net in base 4 | [i] | ||
| 30 | No (39, 197, 171)-net in base 4 | [i] | ||
| 31 | No (39, 198, 171)-net in base 4 | [i] | ||
| 32 | No (39, 199, 171)-net in base 4 | [i] | ||
| 33 | No (39, 200, 171)-net in base 4 | [i] | ||
| 34 | No (39, 201, 171)-net in base 4 | [i] | ||
| 35 | No (39, 202, 171)-net in base 4 | [i] | ||
| 36 | No (39, 203, 171)-net in base 4 | [i] | ||
| 37 | No (39, 204, 171)-net in base 4 | [i] | ||
| 38 | No (39, 205, 171)-net in base 4 | [i] | ||
| 39 | No (39, 206, 171)-net in base 4 | [i] | ||
| 40 | No (39, 207, 171)-net in base 4 | [i] | ||
| 41 | No (39, 208, 171)-net in base 4 | [i] | ||
| 42 | No (39, 209, 171)-net in base 4 | [i] | ||
| 43 | No (39, 210, 171)-net in base 4 | [i] | ||
| 44 | No (39, 211, 171)-net in base 4 | [i] | ||
| 45 | No (39, 212, 171)-net in base 4 | [i] | ||
| 46 | No (39, 213, 171)-net in base 4 | [i] | ||
| 47 | No (39, 214, 171)-net in base 4 | [i] | ||
| 48 | No (39, 215, 171)-net in base 4 | [i] | ||
| 49 | No (39, 216, 171)-net in base 4 | [i] | ||
| 50 | No (39, 217, 171)-net in base 4 | [i] | ||
| 51 | No (39, 218, 171)-net in base 4 | [i] | ||
| 52 | No (39, 219, 171)-net in base 4 | [i] | ||
| 53 | No (39, 220, 171)-net in base 4 | [i] | ||
| 54 | No (39, 221, 171)-net in base 4 | [i] | ||
| 55 | No (39, 222, 171)-net in base 4 | [i] | ||
| 56 | No (39, 223, 171)-net in base 4 | [i] | ||
| 57 | No (39, 224, 171)-net in base 4 | [i] | ||
| 58 | No (39, 225, 171)-net in base 4 | [i] | ||
| 59 | No (39, 226, 171)-net in base 4 | [i] | ||
| 60 | No (39, 227, 171)-net in base 4 | [i] | ||
| 61 | No (39, 228, 171)-net in base 4 | [i] | ||
| 62 | No (39, 229, 171)-net in base 4 | [i] | ||
| 63 | No (39, 230, 171)-net in base 4 | [i] | ||
| 64 | No (39, 231, 171)-net in base 4 | [i] | ||
| 65 | No (39, 232, 171)-net in base 4 | [i] | ||
| 66 | No (39, 233, 171)-net in base 4 | [i] | ||
| 67 | No (39, 234, 171)-net in base 4 | [i] | ||
| 68 | No (39, 235, 171)-net in base 4 | [i] | ||
| 69 | No (39, 236, 171)-net in base 4 | [i] | ||
| 70 | No (39, 237, 171)-net in base 4 | [i] | ||
| 71 | No (39, 238, 171)-net in base 4 | [i] | ||
| 72 | No (39, 239, 171)-net in base 4 | [i] | ||
| 73 | No (39, 240, 171)-net in base 4 | [i] | ||
| 74 | No (39, 241, 171)-net in base 4 | [i] | ||
| 75 | No (39, 242, 171)-net in base 4 | [i] | ||
| 76 | No (39, 243, 171)-net in base 4 | [i] | ||
| 77 | No (39, 244, 171)-net in base 4 | [i] | ||
| 78 | No (39, 245, 171)-net in base 4 | [i] | ||
| 79 | No (39, 246, 171)-net in base 4 | [i] | ||
| 80 | No (39, 247, 171)-net in base 4 | [i] | ||
| 81 | No (39, 248, 171)-net in base 4 | [i] | ||
| 82 | No (39, 249, 171)-net in base 4 | [i] | ||
| 83 | No (39, 250, 171)-net in base 4 | [i] | ||
| 84 | No (39, 251, 171)-net in base 4 | [i] | ||
| 85 | No (39, 252, 171)-net in base 4 | [i] | ||
| 86 | No (39, 253, 171)-net in base 4 | [i] | ||
| 87 | No (39, 254, 171)-net in base 4 | [i] | ||
| 88 | No (39, 255, 171)-net in base 4 | [i] | ||
| 89 | No (39, 256, 171)-net in base 4 | [i] | ||
| 90 | No (39, 257, 171)-net in base 4 | [i] | ||
| 91 | No (39, 258, 171)-net in base 4 | [i] | ||
| 92 | No (39, 259, 171)-net in base 4 | [i] | ||
| 93 | No (39, 260, 171)-net in base 4 | [i] | ||