Information on Result #520288
There is no (33, 202, 42)-net in base 2, because extracting embedded OOA would yield OOA(2202, 42, S2, 5, 169), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 565 642191 579164 576990 770656 504089 236087 815453 811543 078026 084352 / 85 > 2202 [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 (33, 203, 42)-net in base 2 | [i] | m-Reduction | |
| 2 | No (33, 204, 42)-net in base 2 | [i] | ||
| 3 | No (33, 205, 42)-net in base 2 | [i] | ||
| 4 | No (33, 206, 42)-net in base 2 | [i] | ||
| 5 | No (33, 207, 42)-net in base 2 | [i] | ||
| 6 | No (33, 208, 42)-net in base 2 | [i] | ||
| 7 | No (33, 209, 42)-net in base 2 | [i] | ||
| 8 | No (33, 210, 42)-net in base 2 | [i] | ||
| 9 | No (33, 211, 42)-net in base 2 | [i] | ||
| 10 | No (33, 212, 42)-net in base 2 | [i] | ||
| 11 | No (33, 213, 42)-net in base 2 | [i] | ||
| 12 | No (33, 214, 42)-net in base 2 | [i] | ||
| 13 | No (33, 215, 42)-net in base 2 | [i] | ||
| 14 | No (33, 216, 42)-net in base 2 | [i] | ||
| 15 | No (33, 217, 42)-net in base 2 | [i] | ||
| 16 | No (33, 218, 42)-net in base 2 | [i] | ||
| 17 | No (33, 219, 42)-net in base 2 | [i] | ||
| 18 | No (33, 220, 42)-net in base 2 | [i] | ||
| 19 | No (33, 221, 42)-net in base 2 | [i] | ||
| 20 | No (33, 222, 42)-net in base 2 | [i] | ||
| 21 | No (33, 223, 42)-net in base 2 | [i] | ||
| 22 | No (33, 224, 42)-net in base 2 | [i] | ||
| 23 | No (33, 225, 42)-net in base 2 | [i] | ||
| 24 | No (33, 226, 42)-net in base 2 | [i] | ||
| 25 | No (33, 227, 42)-net in base 2 | [i] | ||
| 26 | No (33, 228, 42)-net in base 2 | [i] | ||
| 27 | No (33, 229, 42)-net in base 2 | [i] | ||
| 28 | No (33, 230, 42)-net in base 2 | [i] | ||
| 29 | No (33, 231, 42)-net in base 2 | [i] | ||
| 30 | No (33, 232, 42)-net in base 2 | [i] | ||
| 31 | No (33, 233, 42)-net in base 2 | [i] | ||
| 32 | No (33, 234, 42)-net in base 2 | [i] | ||
| 33 | No (33, 235, 42)-net in base 2 | [i] | ||
| 34 | No (33, 236, 42)-net in base 2 | [i] | ||
| 35 | No (33, 237, 42)-net in base 2 | [i] | ||
| 36 | No (33, 238, 42)-net in base 2 | [i] | ||
| 37 | No (33, 239, 42)-net in base 2 | [i] | ||
| 38 | No (33, 240, 42)-net in base 2 | [i] | ||
| 39 | No (33, 241, 42)-net in base 2 | [i] | ||
| 40 | No (33, 242, 42)-net in base 2 | [i] | ||
| 41 | No (33, 243, 42)-net in base 2 | [i] | ||
| 42 | No (33, 244, 42)-net in base 2 | [i] | ||
| 43 | No (33, 245, 42)-net in base 2 | [i] | ||
| 44 | No (33, 246, 42)-net in base 2 | [i] | ||
| 45 | No (33, 247, 42)-net in base 2 | [i] | ||
| 46 | No (33, 248, 42)-net in base 2 | [i] | ||
| 47 | No (33, 249, 42)-net in base 2 | [i] | ||
| 48 | No (33, 250, 42)-net in base 2 | [i] | ||
| 49 | No (33, 251, 42)-net in base 2 | [i] | ||
| 50 | No (33, 252, 42)-net in base 2 | [i] | ||
| 51 | No (33, 253, 42)-net in base 2 | [i] | ||
| 52 | No (33, 254, 42)-net in base 2 | [i] | ||
| 53 | No (33, 255, 42)-net in base 2 | [i] | ||
| 54 | No (33, 256, 42)-net in base 2 | [i] | ||
| 55 | No (33, 257, 42)-net in base 2 | [i] | ||
| 56 | No (33, 258, 42)-net in base 2 | [i] | ||
| 57 | No (33, 259, 42)-net in base 2 | [i] | ||
| 58 | No (33, 260, 42)-net in base 2 | [i] | ||
| 59 | No (33, m, 42)-net in base 2 for arbitrarily large m | [i] | m-Reduction from Arbitrarily Large Net | |