Information on Result #522345
There is no (50, 211, 215)-net in base 4, because extracting embedded orthogonal array would yield OA(4211, 215, S4, 161), but
- the (dual) Plotkin bound shows that M ≥ 346 583711 765101 857447 301773 017885 462929 554634 421977 071896 309947 576827 663475 703202 879996 800763 017447 262173 901370 175446 478621 769728 / 27 > 4211 [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 (50, 212, 215)-net in base 4 | [i] | m-Reduction | |
| 2 | No (50, 213, 215)-net in base 4 | [i] | ||
| 3 | No (50, 214, 215)-net in base 4 | [i] | ||
| 4 | No (50, 215, 215)-net in base 4 | [i] | ||
| 5 | No (50, 216, 215)-net in base 4 | [i] | ||
| 6 | No (50, 217, 215)-net in base 4 | [i] | ||
| 7 | No (50, 218, 215)-net in base 4 | [i] | ||
| 8 | No (50, 219, 215)-net in base 4 | [i] | ||
| 9 | No (50, 220, 215)-net in base 4 | [i] | ||
| 10 | No (50, 221, 215)-net in base 4 | [i] | ||
| 11 | No (50, 222, 215)-net in base 4 | [i] | ||
| 12 | No (50, 223, 215)-net in base 4 | [i] | ||
| 13 | No (50, 224, 215)-net in base 4 | [i] | ||
| 14 | No (50, 225, 215)-net in base 4 | [i] | ||
| 15 | No (50, 226, 215)-net in base 4 | [i] | ||
| 16 | No (50, 227, 215)-net in base 4 | [i] | ||
| 17 | No (50, 228, 215)-net in base 4 | [i] | ||
| 18 | No (50, 229, 215)-net in base 4 | [i] | ||
| 19 | No (50, 230, 215)-net in base 4 | [i] | ||
| 20 | No (50, 231, 215)-net in base 4 | [i] | ||
| 21 | No (50, 232, 215)-net in base 4 | [i] | ||
| 22 | No (50, 233, 215)-net in base 4 | [i] | ||
| 23 | No (50, 234, 215)-net in base 4 | [i] | ||
| 24 | No (50, 235, 215)-net in base 4 | [i] | ||
| 25 | No (50, 236, 215)-net in base 4 | [i] | ||
| 26 | No (50, 237, 215)-net in base 4 | [i] | ||
| 27 | No (50, 238, 215)-net in base 4 | [i] | ||
| 28 | No (50, 239, 215)-net in base 4 | [i] | ||
| 29 | No (50, 240, 215)-net in base 4 | [i] | ||
| 30 | No (50, 241, 215)-net in base 4 | [i] | ||
| 31 | No (50, 242, 215)-net in base 4 | [i] | ||
| 32 | No (50, 243, 215)-net in base 4 | [i] | ||
| 33 | No (50, 244, 215)-net in base 4 | [i] | ||
| 34 | No (50, 245, 215)-net in base 4 | [i] | ||
| 35 | No (50, 246, 215)-net in base 4 | [i] | ||
| 36 | No (50, 247, 215)-net in base 4 | [i] | ||
| 37 | No (50, 248, 215)-net in base 4 | [i] | ||
| 38 | No (50, 249, 215)-net in base 4 | [i] | ||
| 39 | No (50, 250, 215)-net in base 4 | [i] | ||
| 40 | No (50, 251, 215)-net in base 4 | [i] | ||
| 41 | No (50, 252, 215)-net in base 4 | [i] | ||
| 42 | No (50, 253, 215)-net in base 4 | [i] | ||
| 43 | No (50, 254, 215)-net in base 4 | [i] | ||
| 44 | No (50, 255, 215)-net in base 4 | [i] | ||
| 45 | No (50, 256, 215)-net in base 4 | [i] | ||
| 46 | No (50, 257, 215)-net in base 4 | [i] | ||
| 47 | No (50, 258, 215)-net in base 4 | [i] | ||
| 48 | No (50, 259, 215)-net in base 4 | [i] | ||
| 49 | No (50, 260, 215)-net in base 4 | [i] | ||