Information on Result #522246
There is no (40, 171, 175)-net in base 4, because extracting embedded orthogonal array would yield OA(4171, 175, S4, 131), but
- the (dual) Plotkin bound shows that M ≥ 143 343663 499379 469475 676305 956380 433799 785311 823017 570233 599302 461682 679755 530300 504376 159569 382855 409664 / 11 > 4171 [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 (40, 172, 175)-net in base 4 | [i] | m-Reduction | |
| 2 | No (40, 173, 175)-net in base 4 | [i] | ||
| 3 | No (40, 174, 175)-net in base 4 | [i] | ||
| 4 | No (40, 175, 175)-net in base 4 | [i] | ||
| 5 | No (40, 176, 175)-net in base 4 | [i] | ||
| 6 | No (40, 177, 175)-net in base 4 | [i] | ||
| 7 | No (40, 178, 175)-net in base 4 | [i] | ||
| 8 | No (40, 179, 175)-net in base 4 | [i] | ||
| 9 | No (40, 180, 175)-net in base 4 | [i] | ||
| 10 | No (40, 181, 175)-net in base 4 | [i] | ||
| 11 | No (40, 182, 175)-net in base 4 | [i] | ||
| 12 | No (40, 183, 175)-net in base 4 | [i] | ||
| 13 | No (40, 184, 175)-net in base 4 | [i] | ||
| 14 | No (40, 185, 175)-net in base 4 | [i] | ||
| 15 | No (40, 186, 175)-net in base 4 | [i] | ||
| 16 | No (40, 187, 175)-net in base 4 | [i] | ||
| 17 | No (40, 188, 175)-net in base 4 | [i] | ||
| 18 | No (40, 189, 175)-net in base 4 | [i] | ||
| 19 | No (40, 190, 175)-net in base 4 | [i] | ||
| 20 | No (40, 191, 175)-net in base 4 | [i] | ||
| 21 | No (40, 192, 175)-net in base 4 | [i] | ||
| 22 | No (40, 193, 175)-net in base 4 | [i] | ||
| 23 | No (40, 194, 175)-net in base 4 | [i] | ||
| 24 | No (40, 195, 175)-net in base 4 | [i] | ||
| 25 | No (40, 196, 175)-net in base 4 | [i] | ||
| 26 | No (40, 197, 175)-net in base 4 | [i] | ||
| 27 | No (40, 198, 175)-net in base 4 | [i] | ||
| 28 | No (40, 199, 175)-net in base 4 | [i] | ||
| 29 | No (40, 200, 175)-net in base 4 | [i] | ||
| 30 | No (40, 201, 175)-net in base 4 | [i] | ||
| 31 | No (40, 202, 175)-net in base 4 | [i] | ||
| 32 | No (40, 203, 175)-net in base 4 | [i] | ||
| 33 | No (40, 204, 175)-net in base 4 | [i] | ||
| 34 | No (40, 205, 175)-net in base 4 | [i] | ||
| 35 | No (40, 206, 175)-net in base 4 | [i] | ||
| 36 | No (40, 207, 175)-net in base 4 | [i] | ||
| 37 | No (40, 208, 175)-net in base 4 | [i] | ||
| 38 | No (40, 209, 175)-net in base 4 | [i] | ||
| 39 | No (40, 210, 175)-net in base 4 | [i] | ||
| 40 | No (40, 211, 175)-net in base 4 | [i] | ||
| 41 | No (40, 212, 175)-net in base 4 | [i] | ||
| 42 | No (40, 213, 175)-net in base 4 | [i] | ||
| 43 | No (40, 214, 175)-net in base 4 | [i] | ||
| 44 | No (40, 215, 175)-net in base 4 | [i] | ||
| 45 | No (40, 216, 175)-net in base 4 | [i] | ||
| 46 | No (40, 217, 175)-net in base 4 | [i] | ||
| 47 | No (40, 218, 175)-net in base 4 | [i] | ||
| 48 | No (40, 219, 175)-net in base 4 | [i] | ||
| 49 | No (40, 220, 175)-net in base 4 | [i] | ||
| 50 | No (40, 221, 175)-net in base 4 | [i] | ||
| 51 | No (40, 222, 175)-net in base 4 | [i] | ||
| 52 | No (40, 223, 175)-net in base 4 | [i] | ||
| 53 | No (40, 224, 175)-net in base 4 | [i] | ||
| 54 | No (40, 225, 175)-net in base 4 | [i] | ||
| 55 | No (40, 226, 175)-net in base 4 | [i] | ||
| 56 | No (40, 227, 175)-net in base 4 | [i] | ||
| 57 | No (40, 228, 175)-net in base 4 | [i] | ||
| 58 | No (40, 229, 175)-net in base 4 | [i] | ||
| 59 | No (40, 230, 175)-net in base 4 | [i] | ||
| 60 | No (40, 231, 175)-net in base 4 | [i] | ||
| 61 | No (40, 232, 175)-net in base 4 | [i] | ||
| 62 | No (40, 233, 175)-net in base 4 | [i] | ||
| 63 | No (40, 234, 175)-net in base 4 | [i] | ||
| 64 | No (40, 235, 175)-net in base 4 | [i] | ||
| 65 | No (40, 236, 175)-net in base 4 | [i] | ||
| 66 | No (40, 237, 175)-net in base 4 | [i] | ||
| 67 | No (40, 238, 175)-net in base 4 | [i] | ||
| 68 | No (40, 239, 175)-net in base 4 | [i] | ||
| 69 | No (40, 240, 175)-net in base 4 | [i] | ||
| 70 | No (40, 241, 175)-net in base 4 | [i] | ||
| 71 | No (40, 242, 175)-net in base 4 | [i] | ||
| 72 | No (40, 243, 175)-net in base 4 | [i] | ||
| 73 | No (40, 244, 175)-net in base 4 | [i] | ||
| 74 | No (40, 245, 175)-net in base 4 | [i] | ||
| 75 | No (40, 246, 175)-net in base 4 | [i] | ||
| 76 | No (40, 247, 175)-net in base 4 | [i] | ||
| 77 | No (40, 248, 175)-net in base 4 | [i] | ||
| 78 | No (40, 249, 175)-net in base 4 | [i] | ||
| 79 | No (40, 250, 175)-net in base 4 | [i] | ||
| 80 | No (40, 251, 175)-net in base 4 | [i] | ||
| 81 | No (40, 252, 175)-net in base 4 | [i] | ||
| 82 | No (40, 253, 175)-net in base 4 | [i] | ||
| 83 | No (40, 254, 175)-net in base 4 | [i] | ||
| 84 | No (40, 255, 175)-net in base 4 | [i] | ||
| 85 | No (40, 256, 175)-net in base 4 | [i] | ||
| 86 | No (40, 257, 175)-net in base 4 | [i] | ||
| 87 | No (40, 258, 175)-net in base 4 | [i] | ||
| 88 | No (40, 259, 175)-net in base 4 | [i] | ||
| 89 | No (40, 260, 175)-net in base 4 | [i] | ||