Information on Result #520318
There is no (36, 218, 45)-net in base 2, because extracting embedded OOA would yield OOA(2218, 45, S2, 5, 182), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 28 644943 333847 554781 833703 529958 357590 739465 948949 358261 172585 889792 / 61 > 2218 [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 (36, 219, 45)-net in base 2 | [i] | m-Reduction | |
| 2 | No (36, 220, 45)-net in base 2 | [i] | ||
| 3 | No (36, 221, 45)-net in base 2 | [i] | ||
| 4 | No (36, 222, 45)-net in base 2 | [i] | ||
| 5 | No (36, 223, 45)-net in base 2 | [i] | ||
| 6 | No (36, 224, 45)-net in base 2 | [i] | ||
| 7 | No (36, 225, 45)-net in base 2 | [i] | ||
| 8 | No (36, 226, 45)-net in base 2 | [i] | ||
| 9 | No (36, 227, 45)-net in base 2 | [i] | ||
| 10 | No (36, 228, 45)-net in base 2 | [i] | ||
| 11 | No (36, 229, 45)-net in base 2 | [i] | ||
| 12 | No (36, 230, 45)-net in base 2 | [i] | ||
| 13 | No (36, 231, 45)-net in base 2 | [i] | ||
| 14 | No (36, 232, 45)-net in base 2 | [i] | ||
| 15 | No (36, 233, 45)-net in base 2 | [i] | ||
| 16 | No (36, 234, 45)-net in base 2 | [i] | ||
| 17 | No (36, 235, 45)-net in base 2 | [i] | ||
| 18 | No (36, 236, 45)-net in base 2 | [i] | ||
| 19 | No (36, 237, 45)-net in base 2 | [i] | ||
| 20 | No (36, 238, 45)-net in base 2 | [i] | ||
| 21 | No (36, 239, 45)-net in base 2 | [i] | ||
| 22 | No (36, 240, 45)-net in base 2 | [i] | ||
| 23 | No (36, 241, 45)-net in base 2 | [i] | ||
| 24 | No (36, 242, 45)-net in base 2 | [i] | ||
| 25 | No (36, 243, 45)-net in base 2 | [i] | ||
| 26 | No (36, 244, 45)-net in base 2 | [i] | ||
| 27 | No (36, 245, 45)-net in base 2 | [i] | ||
| 28 | No (36, 246, 45)-net in base 2 | [i] | ||
| 29 | No (36, 247, 45)-net in base 2 | [i] | ||
| 30 | No (36, 248, 45)-net in base 2 | [i] | ||
| 31 | No (36, 249, 45)-net in base 2 | [i] | ||
| 32 | No (36, 250, 45)-net in base 2 | [i] | ||
| 33 | No (36, 251, 45)-net in base 2 | [i] | ||
| 34 | No (36, 252, 45)-net in base 2 | [i] | ||
| 35 | No (36, 253, 45)-net in base 2 | [i] | ||
| 36 | No (36, 254, 45)-net in base 2 | [i] | ||
| 37 | No (36, 255, 45)-net in base 2 | [i] | ||
| 38 | No (36, 256, 45)-net in base 2 | [i] | ||
| 39 | No (36, 257, 45)-net in base 2 | [i] | ||
| 40 | No (36, 258, 45)-net in base 2 | [i] | ||
| 41 | No (36, 259, 45)-net in base 2 | [i] | ||
| 42 | No (36, 260, 45)-net in base 2 | [i] | ||
| 43 | No (36, m, 45)-net in base 2 for arbitrarily large m | [i] | m-Reduction from Arbitrarily Large Net | |