Information on Result #522354
There is no (52, 219, 223)-net in base 4, because extracting embedded orthogonal array would yield OA(4219, 223, S4, 167), but
- the (dual) Plotkin bound shows that M ≥ 5 678427 533559 428832 416592 249125 035424 637823 130369 672345 949142 181098 744438 385921 275985 867583 701277 855943 457200 048954 515105 739075 223552 / 7 > 4219 [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 (52, 220, 223)-net in base 4 | [i] | m-Reduction | |
| 2 | No (52, 221, 223)-net in base 4 | [i] | ||
| 3 | No (52, 222, 223)-net in base 4 | [i] | ||
| 4 | No (52, 223, 223)-net in base 4 | [i] | ||
| 5 | No (52, 224, 223)-net in base 4 | [i] | ||
| 6 | No (52, 225, 223)-net in base 4 | [i] | ||
| 7 | No (52, 226, 223)-net in base 4 | [i] | ||
| 8 | No (52, 227, 223)-net in base 4 | [i] | ||
| 9 | No (52, 228, 223)-net in base 4 | [i] | ||
| 10 | No (52, 229, 223)-net in base 4 | [i] | ||
| 11 | No (52, 230, 223)-net in base 4 | [i] | ||
| 12 | No (52, 231, 223)-net in base 4 | [i] | ||
| 13 | No (52, 232, 223)-net in base 4 | [i] | ||
| 14 | No (52, 233, 223)-net in base 4 | [i] | ||
| 15 | No (52, 234, 223)-net in base 4 | [i] | ||
| 16 | No (52, 235, 223)-net in base 4 | [i] | ||
| 17 | No (52, 236, 223)-net in base 4 | [i] | ||
| 18 | No (52, 237, 223)-net in base 4 | [i] | ||
| 19 | No (52, 238, 223)-net in base 4 | [i] | ||
| 20 | No (52, 239, 223)-net in base 4 | [i] | ||
| 21 | No (52, 240, 223)-net in base 4 | [i] | ||
| 22 | No (52, 241, 223)-net in base 4 | [i] | ||
| 23 | No (52, 242, 223)-net in base 4 | [i] | ||
| 24 | No (52, 243, 223)-net in base 4 | [i] | ||
| 25 | No (52, 244, 223)-net in base 4 | [i] | ||
| 26 | No (52, 245, 223)-net in base 4 | [i] | ||
| 27 | No (52, 246, 223)-net in base 4 | [i] | ||
| 28 | No (52, 247, 223)-net in base 4 | [i] | ||
| 29 | No (52, 248, 223)-net in base 4 | [i] | ||
| 30 | No (52, 249, 223)-net in base 4 | [i] | ||
| 31 | No (52, 250, 223)-net in base 4 | [i] | ||
| 32 | No (52, 251, 223)-net in base 4 | [i] | ||
| 33 | No (52, 252, 223)-net in base 4 | [i] | ||
| 34 | No (52, 253, 223)-net in base 4 | [i] | ||
| 35 | No (52, 254, 223)-net in base 4 | [i] | ||
| 36 | No (52, 255, 223)-net in base 4 | [i] | ||
| 37 | No (52, 256, 223)-net in base 4 | [i] | ||
| 38 | No (52, 257, 223)-net in base 4 | [i] | ||
| 39 | No (52, 258, 223)-net in base 4 | [i] | ||
| 40 | No (52, 259, 223)-net in base 4 | [i] | ||
| 41 | No (52, 260, 223)-net in base 4 | [i] | ||