Information on Result #522294
There is no (44, 187, 191)-net in base 4, because extracting embedded orthogonal array would yield OA(4187, 191, S4, 143), but
- the (dual) Plotkin bound shows that M ≥ 153914 086704 665934 422965 000391 185991 426092 731525 255651 046673 021110 334850 669910 978950 836977 558144 201721 900890 587136 / 3 > 4187 [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 (44, 188, 191)-net in base 4 | [i] | m-Reduction | |
| 2 | No (44, 189, 191)-net in base 4 | [i] | ||
| 3 | No (44, 190, 191)-net in base 4 | [i] | ||
| 4 | No (44, 191, 191)-net in base 4 | [i] | ||
| 5 | No (44, 192, 191)-net in base 4 | [i] | ||
| 6 | No (44, 193, 191)-net in base 4 | [i] | ||
| 7 | No (44, 194, 191)-net in base 4 | [i] | ||
| 8 | No (44, 195, 191)-net in base 4 | [i] | ||
| 9 | No (44, 196, 191)-net in base 4 | [i] | ||
| 10 | No (44, 197, 191)-net in base 4 | [i] | ||
| 11 | No (44, 198, 191)-net in base 4 | [i] | ||
| 12 | No (44, 199, 191)-net in base 4 | [i] | ||
| 13 | No (44, 200, 191)-net in base 4 | [i] | ||
| 14 | No (44, 201, 191)-net in base 4 | [i] | ||
| 15 | No (44, 202, 191)-net in base 4 | [i] | ||
| 16 | No (44, 203, 191)-net in base 4 | [i] | ||
| 17 | No (44, 204, 191)-net in base 4 | [i] | ||
| 18 | No (44, 205, 191)-net in base 4 | [i] | ||
| 19 | No (44, 206, 191)-net in base 4 | [i] | ||
| 20 | No (44, 207, 191)-net in base 4 | [i] | ||
| 21 | No (44, 208, 191)-net in base 4 | [i] | ||
| 22 | No (44, 209, 191)-net in base 4 | [i] | ||
| 23 | No (44, 210, 191)-net in base 4 | [i] | ||
| 24 | No (44, 211, 191)-net in base 4 | [i] | ||
| 25 | No (44, 212, 191)-net in base 4 | [i] | ||
| 26 | No (44, 213, 191)-net in base 4 | [i] | ||
| 27 | No (44, 214, 191)-net in base 4 | [i] | ||
| 28 | No (44, 215, 191)-net in base 4 | [i] | ||
| 29 | No (44, 216, 191)-net in base 4 | [i] | ||
| 30 | No (44, 217, 191)-net in base 4 | [i] | ||
| 31 | No (44, 218, 191)-net in base 4 | [i] | ||
| 32 | No (44, 219, 191)-net in base 4 | [i] | ||
| 33 | No (44, 220, 191)-net in base 4 | [i] | ||
| 34 | No (44, 221, 191)-net in base 4 | [i] | ||
| 35 | No (44, 222, 191)-net in base 4 | [i] | ||
| 36 | No (44, 223, 191)-net in base 4 | [i] | ||
| 37 | No (44, 224, 191)-net in base 4 | [i] | ||
| 38 | No (44, 225, 191)-net in base 4 | [i] | ||
| 39 | No (44, 226, 191)-net in base 4 | [i] | ||
| 40 | No (44, 227, 191)-net in base 4 | [i] | ||
| 41 | No (44, 228, 191)-net in base 4 | [i] | ||
| 42 | No (44, 229, 191)-net in base 4 | [i] | ||
| 43 | No (44, 230, 191)-net in base 4 | [i] | ||
| 44 | No (44, 231, 191)-net in base 4 | [i] | ||
| 45 | No (44, 232, 191)-net in base 4 | [i] | ||
| 46 | No (44, 233, 191)-net in base 4 | [i] | ||
| 47 | No (44, 234, 191)-net in base 4 | [i] | ||
| 48 | No (44, 235, 191)-net in base 4 | [i] | ||
| 49 | No (44, 236, 191)-net in base 4 | [i] | ||
| 50 | No (44, 237, 191)-net in base 4 | [i] | ||
| 51 | No (44, 238, 191)-net in base 4 | [i] | ||
| 52 | No (44, 239, 191)-net in base 4 | [i] | ||
| 53 | No (44, 240, 191)-net in base 4 | [i] | ||
| 54 | No (44, 241, 191)-net in base 4 | [i] | ||
| 55 | No (44, 242, 191)-net in base 4 | [i] | ||
| 56 | No (44, 243, 191)-net in base 4 | [i] | ||
| 57 | No (44, 244, 191)-net in base 4 | [i] | ||
| 58 | No (44, 245, 191)-net in base 4 | [i] | ||
| 59 | No (44, 246, 191)-net in base 4 | [i] | ||
| 60 | No (44, 247, 191)-net in base 4 | [i] | ||
| 61 | No (44, 248, 191)-net in base 4 | [i] | ||
| 62 | No (44, 249, 191)-net in base 4 | [i] | ||
| 63 | No (44, 250, 191)-net in base 4 | [i] | ||
| 64 | No (44, 251, 191)-net in base 4 | [i] | ||
| 65 | No (44, 252, 191)-net in base 4 | [i] | ||
| 66 | No (44, 253, 191)-net in base 4 | [i] | ||
| 67 | No (44, 254, 191)-net in base 4 | [i] | ||
| 68 | No (44, 255, 191)-net in base 4 | [i] | ||
| 69 | No (44, 256, 191)-net in base 4 | [i] | ||
| 70 | No (44, 257, 191)-net in base 4 | [i] | ||
| 71 | No (44, 258, 191)-net in base 4 | [i] | ||
| 72 | No (44, 259, 191)-net in base 4 | [i] | ||
| 73 | No (44, 260, 191)-net in base 4 | [i] | ||