Information on Result #522485
There is no (11, 113, 58)-net in base 5, because extracting embedded OOA would yield OOA(5113, 58, S5, 2, 102), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 1107 409718 022660 615507 187316 986333 208159 408447 723848 212262 964807 450771 331787 109375 / 103 > 5113 [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 (11, 114, 58)-net in base 5 | [i] | m-Reduction | |
| 2 | No (11, 115, 58)-net in base 5 | [i] | ||
| 3 | No (11, 116, 58)-net in base 5 | [i] | ||
| 4 | No (11, 117, 58)-net in base 5 | [i] | ||
| 5 | No (11, 118, 58)-net in base 5 | [i] | ||
| 6 | No (11, 119, 58)-net in base 5 | [i] | ||
| 7 | No (11, 120, 58)-net in base 5 | [i] | ||
| 8 | No (11, 121, 58)-net in base 5 | [i] | ||
| 9 | No (11, 122, 58)-net in base 5 | [i] | ||
| 10 | No (11, 123, 58)-net in base 5 | [i] | ||
| 11 | No (11, 124, 58)-net in base 5 | [i] | ||
| 12 | No (11, 125, 58)-net in base 5 | [i] | ||
| 13 | No (11, 126, 58)-net in base 5 | [i] | ||
| 14 | No (11, 127, 58)-net in base 5 | [i] | ||
| 15 | No (11, 128, 58)-net in base 5 | [i] | ||
| 16 | No (11, 129, 58)-net in base 5 | [i] | ||
| 17 | No (11, 130, 58)-net in base 5 | [i] | ||
| 18 | No (11, 131, 58)-net in base 5 | [i] | ||
| 19 | No (11, 132, 58)-net in base 5 | [i] | ||
| 20 | No (11, 133, 58)-net in base 5 | [i] | ||
| 21 | No (11, 134, 58)-net in base 5 | [i] | ||
| 22 | No (11, 135, 58)-net in base 5 | [i] | ||
| 23 | No (11, 136, 58)-net in base 5 | [i] | ||
| 24 | No (11, 137, 58)-net in base 5 | [i] | ||
| 25 | No (11, 138, 58)-net in base 5 | [i] | ||
| 26 | No (11, 139, 58)-net in base 5 | [i] | ||
| 27 | No (11, 140, 58)-net in base 5 | [i] | ||
| 28 | No (11, 141, 58)-net in base 5 | [i] | ||
| 29 | No (11, 142, 58)-net in base 5 | [i] | ||
| 30 | No (11, 143, 58)-net in base 5 | [i] | ||
| 31 | No (11, 144, 58)-net in base 5 | [i] | ||
| 32 | No (11, 145, 58)-net in base 5 | [i] | ||
| 33 | No (11, 146, 58)-net in base 5 | [i] | ||
| 34 | No (11, 147, 58)-net in base 5 | [i] | ||
| 35 | No (11, 148, 58)-net in base 5 | [i] | ||
| 36 | No (11, 149, 58)-net in base 5 | [i] | ||
| 37 | No (11, 150, 58)-net in base 5 | [i] | ||
| 38 | No (11, m, 58)-net in base 5 for arbitrarily large m | [i] | m-Reduction from Arbitrarily Large Net | |