Information on Result #522185
There is no (31, 220, 112)-net in base 4, because extracting embedded OOA would yield OOA(4220, 112, S4, 2, 189), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 363 419362 147803 445274 661903 944002 267176 820680 343659 030140 745099 590319 644056 698961 663095 525356 881782 780381 260803 133088 966767 300814 307328 / 95 > 4220 [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 (31, 221, 112)-net in base 4 | [i] | m-Reduction | |
| 2 | No (31, 222, 112)-net in base 4 | [i] | ||
| 3 | No (31, 223, 112)-net in base 4 | [i] | ||
| 4 | No (31, 224, 112)-net in base 4 | [i] | ||
| 5 | No (31, 225, 112)-net in base 4 | [i] | ||
| 6 | No (31, 226, 112)-net in base 4 | [i] | ||
| 7 | No (31, 227, 112)-net in base 4 | [i] | ||
| 8 | No (31, 228, 112)-net in base 4 | [i] | ||
| 9 | No (31, 229, 112)-net in base 4 | [i] | ||
| 10 | No (31, 230, 112)-net in base 4 | [i] | ||
| 11 | No (31, 231, 112)-net in base 4 | [i] | ||
| 12 | No (31, 232, 112)-net in base 4 | [i] | ||
| 13 | No (31, 233, 112)-net in base 4 | [i] | ||
| 14 | No (31, 234, 112)-net in base 4 | [i] | ||
| 15 | No (31, 235, 112)-net in base 4 | [i] | ||
| 16 | No (31, 236, 112)-net in base 4 | [i] | ||
| 17 | No (31, 237, 112)-net in base 4 | [i] | ||
| 18 | No (31, 238, 112)-net in base 4 | [i] | ||
| 19 | No (31, 239, 112)-net in base 4 | [i] | ||
| 20 | No (31, 240, 112)-net in base 4 | [i] | ||
| 21 | No (31, 241, 112)-net in base 4 | [i] | ||
| 22 | No (31, 242, 112)-net in base 4 | [i] | ||
| 23 | No (31, 243, 112)-net in base 4 | [i] | ||
| 24 | No (31, 244, 112)-net in base 4 | [i] | ||
| 25 | No (31, 245, 112)-net in base 4 | [i] | ||
| 26 | No (31, 246, 112)-net in base 4 | [i] | ||
| 27 | No (31, 247, 112)-net in base 4 | [i] | ||
| 28 | No (31, 248, 112)-net in base 4 | [i] | ||
| 29 | No (31, 249, 112)-net in base 4 | [i] | ||
| 30 | No (31, 250, 112)-net in base 4 | [i] | ||
| 31 | No (31, 251, 112)-net in base 4 | [i] | ||
| 32 | No (31, 252, 112)-net in base 4 | [i] | ||
| 33 | No (31, 253, 112)-net in base 4 | [i] | ||
| 34 | No (31, 254, 112)-net in base 4 | [i] | ||
| 35 | No (31, 255, 112)-net in base 4 | [i] | ||
| 36 | No (31, 256, 112)-net in base 4 | [i] | ||
| 37 | No (31, 257, 112)-net in base 4 | [i] | ||
| 38 | No (31, 258, 112)-net in base 4 | [i] | ||
| 39 | No (31, 259, 112)-net in base 4 | [i] | ||
| 40 | No (31, 260, 112)-net in base 4 | [i] | ||