Information on Result #522357
There is no (53, 223, 227)-net in base 4, because extracting embedded orthogonal array would yield OA(4223, 227, S4, 170), but
- the (dual) Plotkin bound shows that M ≥ 11629 419588 729710 248789 180926 208072 549658 261770 997088 964503 843186 890228 609814 366773 219056 811420 217048 972200 345700 258846 936553 626057 834496 / 57 > 4223 [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 (53, 224, 227)-net in base 4 | [i] | m-Reduction | |
| 2 | No (53, 225, 227)-net in base 4 | [i] | ||
| 3 | No (53, 226, 227)-net in base 4 | [i] | ||
| 4 | No (53, 227, 227)-net in base 4 | [i] | ||
| 5 | No (53, 228, 227)-net in base 4 | [i] | ||
| 6 | No (53, 229, 227)-net in base 4 | [i] | ||
| 7 | No (53, 230, 227)-net in base 4 | [i] | ||
| 8 | No (53, 231, 227)-net in base 4 | [i] | ||
| 9 | No (53, 232, 227)-net in base 4 | [i] | ||
| 10 | No (53, 233, 227)-net in base 4 | [i] | ||
| 11 | No (53, 234, 227)-net in base 4 | [i] | ||
| 12 | No (53, 235, 227)-net in base 4 | [i] | ||
| 13 | No (53, 236, 227)-net in base 4 | [i] | ||
| 14 | No (53, 237, 227)-net in base 4 | [i] | ||
| 15 | No (53, 238, 227)-net in base 4 | [i] | ||
| 16 | No (53, 239, 227)-net in base 4 | [i] | ||
| 17 | No (53, 240, 227)-net in base 4 | [i] | ||
| 18 | No (53, 241, 227)-net in base 4 | [i] | ||
| 19 | No (53, 242, 227)-net in base 4 | [i] | ||
| 20 | No (53, 243, 227)-net in base 4 | [i] | ||
| 21 | No (53, 244, 227)-net in base 4 | [i] | ||
| 22 | No (53, 245, 227)-net in base 4 | [i] | ||
| 23 | No (53, 246, 227)-net in base 4 | [i] | ||
| 24 | No (53, 247, 227)-net in base 4 | [i] | ||
| 25 | No (53, 248, 227)-net in base 4 | [i] | ||
| 26 | No (53, 249, 227)-net in base 4 | [i] | ||
| 27 | No (53, 250, 227)-net in base 4 | [i] | ||
| 28 | No (53, 251, 227)-net in base 4 | [i] | ||
| 29 | No (53, 252, 227)-net in base 4 | [i] | ||
| 30 | No (53, 253, 227)-net in base 4 | [i] | ||
| 31 | No (53, 254, 227)-net in base 4 | [i] | ||
| 32 | No (53, 255, 227)-net in base 4 | [i] | ||
| 33 | No (53, 256, 227)-net in base 4 | [i] | ||
| 34 | No (53, 257, 227)-net in base 4 | [i] | ||
| 35 | No (53, 258, 227)-net in base 4 | [i] | ||
| 36 | No (53, 259, 227)-net in base 4 | [i] | ||
| 37 | No (53, 260, 227)-net in base 4 | [i] | ||