Information on Result #522324
There is no (47, 199, 203)-net in base 4, because extracting embedded orthogonal array would yield OA(4199, 203, S4, 152), but
- the (dual) Plotkin bound shows that M ≥ 41 315998 049390 537434 494706 752048 189989 275292 685267 576205 290549 704650 361952 269459 114074 325652 482205 302974 450751 563959 894016 / 51 > 4199 [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 (47, 200, 203)-net in base 4 | [i] | m-Reduction | |
| 2 | No (47, 201, 203)-net in base 4 | [i] | ||
| 3 | No (47, 202, 203)-net in base 4 | [i] | ||
| 4 | No (47, 203, 203)-net in base 4 | [i] | ||
| 5 | No (47, 204, 203)-net in base 4 | [i] | ||
| 6 | No (47, 205, 203)-net in base 4 | [i] | ||
| 7 | No (47, 206, 203)-net in base 4 | [i] | ||
| 8 | No (47, 207, 203)-net in base 4 | [i] | ||
| 9 | No (47, 208, 203)-net in base 4 | [i] | ||
| 10 | No (47, 209, 203)-net in base 4 | [i] | ||
| 11 | No (47, 210, 203)-net in base 4 | [i] | ||
| 12 | No (47, 211, 203)-net in base 4 | [i] | ||
| 13 | No (47, 212, 203)-net in base 4 | [i] | ||
| 14 | No (47, 213, 203)-net in base 4 | [i] | ||
| 15 | No (47, 214, 203)-net in base 4 | [i] | ||
| 16 | No (47, 215, 203)-net in base 4 | [i] | ||
| 17 | No (47, 216, 203)-net in base 4 | [i] | ||
| 18 | No (47, 217, 203)-net in base 4 | [i] | ||
| 19 | No (47, 218, 203)-net in base 4 | [i] | ||
| 20 | No (47, 219, 203)-net in base 4 | [i] | ||
| 21 | No (47, 220, 203)-net in base 4 | [i] | ||
| 22 | No (47, 221, 203)-net in base 4 | [i] | ||
| 23 | No (47, 222, 203)-net in base 4 | [i] | ||
| 24 | No (47, 223, 203)-net in base 4 | [i] | ||
| 25 | No (47, 224, 203)-net in base 4 | [i] | ||
| 26 | No (47, 225, 203)-net in base 4 | [i] | ||
| 27 | No (47, 226, 203)-net in base 4 | [i] | ||
| 28 | No (47, 227, 203)-net in base 4 | [i] | ||
| 29 | No (47, 228, 203)-net in base 4 | [i] | ||
| 30 | No (47, 229, 203)-net in base 4 | [i] | ||
| 31 | No (47, 230, 203)-net in base 4 | [i] | ||
| 32 | No (47, 231, 203)-net in base 4 | [i] | ||
| 33 | No (47, 232, 203)-net in base 4 | [i] | ||
| 34 | No (47, 233, 203)-net in base 4 | [i] | ||
| 35 | No (47, 234, 203)-net in base 4 | [i] | ||
| 36 | No (47, 235, 203)-net in base 4 | [i] | ||
| 37 | No (47, 236, 203)-net in base 4 | [i] | ||
| 38 | No (47, 237, 203)-net in base 4 | [i] | ||
| 39 | No (47, 238, 203)-net in base 4 | [i] | ||
| 40 | No (47, 239, 203)-net in base 4 | [i] | ||
| 41 | No (47, 240, 203)-net in base 4 | [i] | ||
| 42 | No (47, 241, 203)-net in base 4 | [i] | ||
| 43 | No (47, 242, 203)-net in base 4 | [i] | ||
| 44 | No (47, 243, 203)-net in base 4 | [i] | ||
| 45 | No (47, 244, 203)-net in base 4 | [i] | ||
| 46 | No (47, 245, 203)-net in base 4 | [i] | ||
| 47 | No (47, 246, 203)-net in base 4 | [i] | ||
| 48 | No (47, 247, 203)-net in base 4 | [i] | ||
| 49 | No (47, 248, 203)-net in base 4 | [i] | ||
| 50 | No (47, 249, 203)-net in base 4 | [i] | ||
| 51 | No (47, 250, 203)-net in base 4 | [i] | ||
| 52 | No (47, 251, 203)-net in base 4 | [i] | ||
| 53 | No (47, 252, 203)-net in base 4 | [i] | ||
| 54 | No (47, 253, 203)-net in base 4 | [i] | ||
| 55 | No (47, 254, 203)-net in base 4 | [i] | ||
| 56 | No (47, 255, 203)-net in base 4 | [i] | ||
| 57 | No (47, 256, 203)-net in base 4 | [i] | ||
| 58 | No (47, 257, 203)-net in base 4 | [i] | ||
| 59 | No (47, 258, 203)-net in base 4 | [i] | ||
| 60 | No (47, 259, 203)-net in base 4 | [i] | ||
| 61 | No (47, 260, 203)-net in base 4 | [i] | ||