Information on Result #522009
There is no (20, 215, 73)-net in base 4, because extracting embedded OOA would yield OOA(4215, 73, S4, 3, 195), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 169132 851341 369706 434283 265232 728105 909622 661597 924811 085399 254417 491899 776143 163005 438438 772352 514263 940863 868645 617881 567423 627264 / 49 > 4215 [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 (20, 216, 73)-net in base 4 | [i] | m-Reduction | |
| 2 | No (20, 217, 73)-net in base 4 | [i] | ||
| 3 | No (20, 218, 73)-net in base 4 | [i] | ||
| 4 | No (20, 219, 73)-net in base 4 | [i] | ||
| 5 | No (20, 220, 73)-net in base 4 | [i] | ||
| 6 | No (20, 221, 73)-net in base 4 | [i] | ||
| 7 | No (20, 222, 73)-net in base 4 | [i] | ||
| 8 | No (20, 223, 73)-net in base 4 | [i] | ||
| 9 | No (20, 224, 73)-net in base 4 | [i] | ||
| 10 | No (20, 225, 73)-net in base 4 | [i] | ||
| 11 | No (20, 226, 73)-net in base 4 | [i] | ||
| 12 | No (20, 227, 73)-net in base 4 | [i] | ||
| 13 | No (20, 228, 73)-net in base 4 | [i] | ||
| 14 | No (20, 229, 73)-net in base 4 | [i] | ||
| 15 | No (20, 230, 73)-net in base 4 | [i] | ||
| 16 | No (20, 231, 73)-net in base 4 | [i] | ||
| 17 | No (20, 232, 73)-net in base 4 | [i] | ||
| 18 | No (20, 233, 73)-net in base 4 | [i] | ||
| 19 | No (20, 234, 73)-net in base 4 | [i] | ||
| 20 | No (20, 235, 73)-net in base 4 | [i] | ||
| 21 | No (20, 236, 73)-net in base 4 | [i] | ||
| 22 | No (20, 237, 73)-net in base 4 | [i] | ||
| 23 | No (20, 238, 73)-net in base 4 | [i] | ||
| 24 | No (20, 239, 73)-net in base 4 | [i] | ||
| 25 | No (20, 240, 73)-net in base 4 | [i] | ||
| 26 | No (20, 241, 73)-net in base 4 | [i] | ||
| 27 | No (20, 242, 73)-net in base 4 | [i] | ||
| 28 | No (20, 243, 73)-net in base 4 | [i] | ||
| 29 | No (20, 244, 73)-net in base 4 | [i] | ||
| 30 | No (20, 245, 73)-net in base 4 | [i] | ||
| 31 | No (20, 246, 73)-net in base 4 | [i] | ||
| 32 | No (20, 247, 73)-net in base 4 | [i] | ||
| 33 | No (20, 248, 73)-net in base 4 | [i] | ||
| 34 | No (20, 249, 73)-net in base 4 | [i] | ||
| 35 | No (20, 250, 73)-net in base 4 | [i] | ||
| 36 | No (20, 251, 73)-net in base 4 | [i] | ||
| 37 | No (20, 252, 73)-net in base 4 | [i] | ||
| 38 | No (20, 253, 73)-net in base 4 | [i] | ||
| 39 | No (20, 254, 73)-net in base 4 | [i] | ||
| 40 | No (20, 255, 73)-net in base 4 | [i] | ||
| 41 | No (20, 256, 73)-net in base 4 | [i] | ||
| 42 | No (20, 257, 73)-net in base 4 | [i] | ||
| 43 | No (20, 258, 73)-net in base 4 | [i] | ||
| 44 | No (20, 259, 73)-net in base 4 | [i] | ||
| 45 | No (20, 260, 73)-net in base 4 | [i] | ||
| 46 | No (20, m, 73)-net in base 4 for arbitrarily large m | [i] | m-Reduction from Arbitrarily Large Net | |