Information on Result #522305
There is no (45, 191, 195)-net in base 4, because extracting embedded orthogonal array would yield OA(4191, 195, S4, 146), but
- the (dual) Plotkin bound shows that M ≥ 630 432099 142311 667396 464641 602297 820881 275828 327447 146687 172694 467931 548343 955369 782628 260078 158650 252906 047844 909056 / 49 > 4191 [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 (45, 192, 195)-net in base 4 | [i] | m-Reduction | |
| 2 | No (45, 193, 195)-net in base 4 | [i] | ||
| 3 | No (45, 194, 195)-net in base 4 | [i] | ||
| 4 | No (45, 195, 195)-net in base 4 | [i] | ||
| 5 | No (45, 196, 195)-net in base 4 | [i] | ||
| 6 | No (45, 197, 195)-net in base 4 | [i] | ||
| 7 | No (45, 198, 195)-net in base 4 | [i] | ||
| 8 | No (45, 199, 195)-net in base 4 | [i] | ||
| 9 | No (45, 200, 195)-net in base 4 | [i] | ||
| 10 | No (45, 201, 195)-net in base 4 | [i] | ||
| 11 | No (45, 202, 195)-net in base 4 | [i] | ||
| 12 | No (45, 203, 195)-net in base 4 | [i] | ||
| 13 | No (45, 204, 195)-net in base 4 | [i] | ||
| 14 | No (45, 205, 195)-net in base 4 | [i] | ||
| 15 | No (45, 206, 195)-net in base 4 | [i] | ||
| 16 | No (45, 207, 195)-net in base 4 | [i] | ||
| 17 | No (45, 208, 195)-net in base 4 | [i] | ||
| 18 | No (45, 209, 195)-net in base 4 | [i] | ||
| 19 | No (45, 210, 195)-net in base 4 | [i] | ||
| 20 | No (45, 211, 195)-net in base 4 | [i] | ||
| 21 | No (45, 212, 195)-net in base 4 | [i] | ||
| 22 | No (45, 213, 195)-net in base 4 | [i] | ||
| 23 | No (45, 214, 195)-net in base 4 | [i] | ||
| 24 | No (45, 215, 195)-net in base 4 | [i] | ||
| 25 | No (45, 216, 195)-net in base 4 | [i] | ||
| 26 | No (45, 217, 195)-net in base 4 | [i] | ||
| 27 | No (45, 218, 195)-net in base 4 | [i] | ||
| 28 | No (45, 219, 195)-net in base 4 | [i] | ||
| 29 | No (45, 220, 195)-net in base 4 | [i] | ||
| 30 | No (45, 221, 195)-net in base 4 | [i] | ||
| 31 | No (45, 222, 195)-net in base 4 | [i] | ||
| 32 | No (45, 223, 195)-net in base 4 | [i] | ||
| 33 | No (45, 224, 195)-net in base 4 | [i] | ||
| 34 | No (45, 225, 195)-net in base 4 | [i] | ||
| 35 | No (45, 226, 195)-net in base 4 | [i] | ||
| 36 | No (45, 227, 195)-net in base 4 | [i] | ||
| 37 | No (45, 228, 195)-net in base 4 | [i] | ||
| 38 | No (45, 229, 195)-net in base 4 | [i] | ||
| 39 | No (45, 230, 195)-net in base 4 | [i] | ||
| 40 | No (45, 231, 195)-net in base 4 | [i] | ||
| 41 | No (45, 232, 195)-net in base 4 | [i] | ||
| 42 | No (45, 233, 195)-net in base 4 | [i] | ||
| 43 | No (45, 234, 195)-net in base 4 | [i] | ||
| 44 | No (45, 235, 195)-net in base 4 | [i] | ||
| 45 | No (45, 236, 195)-net in base 4 | [i] | ||
| 46 | No (45, 237, 195)-net in base 4 | [i] | ||
| 47 | No (45, 238, 195)-net in base 4 | [i] | ||
| 48 | No (45, 239, 195)-net in base 4 | [i] | ||
| 49 | No (45, 240, 195)-net in base 4 | [i] | ||
| 50 | No (45, 241, 195)-net in base 4 | [i] | ||
| 51 | No (45, 242, 195)-net in base 4 | [i] | ||
| 52 | No (45, 243, 195)-net in base 4 | [i] | ||
| 53 | No (45, 244, 195)-net in base 4 | [i] | ||
| 54 | No (45, 245, 195)-net in base 4 | [i] | ||
| 55 | No (45, 246, 195)-net in base 4 | [i] | ||
| 56 | No (45, 247, 195)-net in base 4 | [i] | ||
| 57 | No (45, 248, 195)-net in base 4 | [i] | ||
| 58 | No (45, 249, 195)-net in base 4 | [i] | ||
| 59 | No (45, 250, 195)-net in base 4 | [i] | ||
| 60 | No (45, 251, 195)-net in base 4 | [i] | ||
| 61 | No (45, 252, 195)-net in base 4 | [i] | ||
| 62 | No (45, 253, 195)-net in base 4 | [i] | ||
| 63 | No (45, 254, 195)-net in base 4 | [i] | ||
| 64 | No (45, 255, 195)-net in base 4 | [i] | ||
| 65 | No (45, 256, 195)-net in base 4 | [i] | ||
| 66 | No (45, 257, 195)-net in base 4 | [i] | ||
| 67 | No (45, 258, 195)-net in base 4 | [i] | ||
| 68 | No (45, 259, 195)-net in base 4 | [i] | ||
| 69 | No (45, 260, 195)-net in base 4 | [i] | ||