Information on Result #522453
There is no (9, 95, 49)-net in base 5, because extracting embedded OOA would yield OOA(595, 49, S5, 2, 86), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 239 813715 187187 588845 165483 845967 013820 654756 273142 993450 164794 921875 / 87 > 595 [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 (9, 96, 49)-net in base 5 | [i] | m-Reduction | |
| 2 | No (9, 97, 49)-net in base 5 | [i] | ||
| 3 | No (9, 98, 49)-net in base 5 | [i] | ||
| 4 | No (9, 99, 49)-net in base 5 | [i] | ||
| 5 | No (9, 100, 49)-net in base 5 | [i] | ||
| 6 | No (9, 101, 49)-net in base 5 | [i] | ||
| 7 | No (9, 102, 49)-net in base 5 | [i] | ||
| 8 | No (9, 103, 49)-net in base 5 | [i] | ||
| 9 | No (9, 104, 49)-net in base 5 | [i] | ||
| 10 | No (9, 105, 49)-net in base 5 | [i] | ||
| 11 | No (9, 106, 49)-net in base 5 | [i] | ||
| 12 | No (9, 107, 49)-net in base 5 | [i] | ||
| 13 | No (9, 108, 49)-net in base 5 | [i] | ||
| 14 | No (9, 109, 49)-net in base 5 | [i] | ||
| 15 | No (9, 110, 49)-net in base 5 | [i] | ||
| 16 | No (9, 111, 49)-net in base 5 | [i] | ||
| 17 | No (9, 112, 49)-net in base 5 | [i] | ||
| 18 | No (9, 113, 49)-net in base 5 | [i] | ||
| 19 | No (9, 114, 49)-net in base 5 | [i] | ||
| 20 | No (9, 115, 49)-net in base 5 | [i] | ||
| 21 | No (9, 116, 49)-net in base 5 | [i] | ||
| 22 | No (9, 117, 49)-net in base 5 | [i] | ||
| 23 | No (9, 118, 49)-net in base 5 | [i] | ||
| 24 | No (9, 119, 49)-net in base 5 | [i] | ||
| 25 | No (9, 120, 49)-net in base 5 | [i] | ||
| 26 | No (9, 121, 49)-net in base 5 | [i] | ||
| 27 | No (9, 122, 49)-net in base 5 | [i] | ||
| 28 | No (9, 123, 49)-net in base 5 | [i] | ||
| 29 | No (9, 124, 49)-net in base 5 | [i] | ||
| 30 | No (9, 125, 49)-net in base 5 | [i] | ||
| 31 | No (9, 126, 49)-net in base 5 | [i] | ||
| 32 | No (9, 127, 49)-net in base 5 | [i] | ||
| 33 | No (9, 128, 49)-net in base 5 | [i] | ||
| 34 | No (9, 129, 49)-net in base 5 | [i] | ||
| 35 | No (9, 130, 49)-net in base 5 | [i] | ||
| 36 | No (9, 131, 49)-net in base 5 | [i] | ||
| 37 | No (9, 132, 49)-net in base 5 | [i] | ||
| 38 | No (9, 133, 49)-net in base 5 | [i] | ||
| 39 | No (9, 134, 49)-net in base 5 | [i] | ||
| 40 | No (9, 135, 49)-net in base 5 | [i] | ||
| 41 | No (9, 136, 49)-net in base 5 | [i] | ||
| 42 | No (9, 137, 49)-net in base 5 | [i] | ||
| 43 | No (9, 138, 49)-net in base 5 | [i] | ||
| 44 | No (9, 139, 49)-net in base 5 | [i] | ||
| 45 | No (9, 140, 49)-net in base 5 | [i] | ||
| 46 | No (9, 141, 49)-net in base 5 | [i] | ||
| 47 | No (9, 142, 49)-net in base 5 | [i] | ||
| 48 | No (9, 143, 49)-net in base 5 | [i] | ||
| 49 | No (9, 144, 49)-net in base 5 | [i] | ||
| 50 | No (9, 145, 49)-net in base 5 | [i] | ||
| 51 | No (9, 146, 49)-net in base 5 | [i] | ||
| 52 | No (9, 147, 49)-net in base 5 | [i] | ||
| 53 | No (9, 148, 49)-net in base 5 | [i] | ||
| 54 | No (9, 149, 49)-net in base 5 | [i] | ||
| 55 | No (9, 150, 49)-net in base 5 | [i] | ||
| 56 | No (9, m, 49)-net in base 5 for arbitrarily large m | [i] | m-Reduction from Arbitrarily Large Net | |