Information on Result #522055
There is no (22, 233, 79)-net in base 4, because extracting embedded OOA would yield OOA(4233, 79, S4, 3, 211), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 11241 648221 963106 790253 554477 404590 578562 456690 504962 030071 427039 666560 827048 716527 532840 581100 221331 691271 297373 229415 944301 181950 562062 565376 / 53 > 4233 [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 (22, 234, 79)-net in base 4 | [i] | m-Reduction | |
| 2 | No (22, 235, 79)-net in base 4 | [i] | ||
| 3 | No (22, 236, 79)-net in base 4 | [i] | ||
| 4 | No (22, 237, 79)-net in base 4 | [i] | ||
| 5 | No (22, 238, 79)-net in base 4 | [i] | ||
| 6 | No (22, 239, 79)-net in base 4 | [i] | ||
| 7 | No (22, 240, 79)-net in base 4 | [i] | ||
| 8 | No (22, 241, 79)-net in base 4 | [i] | ||
| 9 | No (22, 242, 79)-net in base 4 | [i] | ||
| 10 | No (22, 243, 79)-net in base 4 | [i] | ||
| 11 | No (22, 244, 79)-net in base 4 | [i] | ||
| 12 | No (22, 245, 79)-net in base 4 | [i] | ||
| 13 | No (22, 246, 79)-net in base 4 | [i] | ||
| 14 | No (22, 247, 79)-net in base 4 | [i] | ||
| 15 | No (22, 248, 79)-net in base 4 | [i] | ||
| 16 | No (22, 249, 79)-net in base 4 | [i] | ||
| 17 | No (22, 250, 79)-net in base 4 | [i] | ||
| 18 | No (22, 251, 79)-net in base 4 | [i] | ||
| 19 | No (22, 252, 79)-net in base 4 | [i] | ||
| 20 | No (22, 253, 79)-net in base 4 | [i] | ||
| 21 | No (22, 254, 79)-net in base 4 | [i] | ||
| 22 | No (22, 255, 79)-net in base 4 | [i] | ||
| 23 | No (22, 256, 79)-net in base 4 | [i] | ||
| 24 | No (22, 257, 79)-net in base 4 | [i] | ||
| 25 | No (22, 258, 79)-net in base 4 | [i] | ||
| 26 | No (22, 259, 79)-net in base 4 | [i] | ||
| 27 | No (22, 260, 79)-net in base 4 | [i] | ||
| 28 | No (22, m, 79)-net in base 4 for arbitrarily large m | [i] | m-Reduction from Arbitrarily Large Net | |