Information on Result #522361
There is no (56, 235, 239)-net in base 4, because extracting embedded orthogonal array would yield OA(4235, 239, S4, 179), but
- the (dual) Plotkin bound shows that M ≥ 48777 321098 687378 615337 456715 518223 527321 845979 140174 232174 327494 146433 419058 837814 379782 860367 062049 372295 798771 978482 741374 619988 879457 910784 / 15 > 4235 [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 (56, 236, 239)-net in base 4 | [i] | m-Reduction | |
| 2 | No (56, 237, 239)-net in base 4 | [i] | ||
| 3 | No (56, 238, 239)-net in base 4 | [i] | ||
| 4 | No (56, 239, 239)-net in base 4 | [i] | ||
| 5 | No (56, 240, 239)-net in base 4 | [i] | ||
| 6 | No (56, 241, 239)-net in base 4 | [i] | ||
| 7 | No (56, 242, 239)-net in base 4 | [i] | ||
| 8 | No (56, 243, 239)-net in base 4 | [i] | ||
| 9 | No (56, 244, 239)-net in base 4 | [i] | ||
| 10 | No (56, 245, 239)-net in base 4 | [i] | ||
| 11 | No (56, 246, 239)-net in base 4 | [i] | ||
| 12 | No (56, 247, 239)-net in base 4 | [i] | ||
| 13 | No (56, 248, 239)-net in base 4 | [i] | ||
| 14 | No (56, 249, 239)-net in base 4 | [i] | ||
| 15 | No (56, 250, 239)-net in base 4 | [i] | ||
| 16 | No (56, 251, 239)-net in base 4 | [i] | ||
| 17 | No (56, 252, 239)-net in base 4 | [i] | ||
| 18 | No (56, 253, 239)-net in base 4 | [i] | ||
| 19 | No (56, 254, 239)-net in base 4 | [i] | ||
| 20 | No (56, 255, 239)-net in base 4 | [i] | ||
| 21 | No (56, 256, 239)-net in base 4 | [i] | ||
| 22 | No (56, 257, 239)-net in base 4 | [i] | ||
| 23 | No (56, 258, 239)-net in base 4 | [i] | ||
| 24 | No (56, 259, 239)-net in base 4 | [i] | ||
| 25 | No (56, 260, 239)-net in base 4 | [i] | ||