Information on Result #522469
There is no (10, 105, 54)-net in base 5, because extracting embedded OOA would yield OOA(5105, 54, S5, 2, 95), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 123 259516 440783 094595 582588 325435 348386 438505 485784 844495 356082 916259 765625 / 4 > 5105 [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 (10, 106, 54)-net in base 5 | [i] | m-Reduction | |
| 2 | No (10, 107, 54)-net in base 5 | [i] | ||
| 3 | No (10, 108, 54)-net in base 5 | [i] | ||
| 4 | No (10, 109, 54)-net in base 5 | [i] | ||
| 5 | No (10, 110, 54)-net in base 5 | [i] | ||
| 6 | No (10, 111, 54)-net in base 5 | [i] | ||
| 7 | No (10, 112, 54)-net in base 5 | [i] | ||
| 8 | No (10, 113, 54)-net in base 5 | [i] | ||
| 9 | No (10, 114, 54)-net in base 5 | [i] | ||
| 10 | No (10, 115, 54)-net in base 5 | [i] | ||
| 11 | No (10, 116, 54)-net in base 5 | [i] | ||
| 12 | No (10, 117, 54)-net in base 5 | [i] | ||
| 13 | No (10, 118, 54)-net in base 5 | [i] | ||
| 14 | No (10, 119, 54)-net in base 5 | [i] | ||
| 15 | No (10, 120, 54)-net in base 5 | [i] | ||
| 16 | No (10, 121, 54)-net in base 5 | [i] | ||
| 17 | No (10, 122, 54)-net in base 5 | [i] | ||
| 18 | No (10, 123, 54)-net in base 5 | [i] | ||
| 19 | No (10, 124, 54)-net in base 5 | [i] | ||
| 20 | No (10, 125, 54)-net in base 5 | [i] | ||
| 21 | No (10, 126, 54)-net in base 5 | [i] | ||
| 22 | No (10, 127, 54)-net in base 5 | [i] | ||
| 23 | No (10, 128, 54)-net in base 5 | [i] | ||
| 24 | No (10, 129, 54)-net in base 5 | [i] | ||
| 25 | No (10, 130, 54)-net in base 5 | [i] | ||
| 26 | No (10, 131, 54)-net in base 5 | [i] | ||
| 27 | No (10, 132, 54)-net in base 5 | [i] | ||
| 28 | No (10, 133, 54)-net in base 5 | [i] | ||
| 29 | No (10, 134, 54)-net in base 5 | [i] | ||
| 30 | No (10, 135, 54)-net in base 5 | [i] | ||
| 31 | No (10, 136, 54)-net in base 5 | [i] | ||
| 32 | No (10, 137, 54)-net in base 5 | [i] | ||
| 33 | No (10, 138, 54)-net in base 5 | [i] | ||
| 34 | No (10, 139, 54)-net in base 5 | [i] | ||
| 35 | No (10, 140, 54)-net in base 5 | [i] | ||
| 36 | No (10, 141, 54)-net in base 5 | [i] | ||
| 37 | No (10, 142, 54)-net in base 5 | [i] | ||
| 38 | No (10, 143, 54)-net in base 5 | [i] | ||
| 39 | No (10, 144, 54)-net in base 5 | [i] | ||
| 40 | No (10, 145, 54)-net in base 5 | [i] | ||
| 41 | No (10, 146, 54)-net in base 5 | [i] | ||
| 42 | No (10, 147, 54)-net in base 5 | [i] | ||
| 43 | No (10, 148, 54)-net in base 5 | [i] | ||
| 44 | No (10, 149, 54)-net in base 5 | [i] | ||
| 45 | No (10, 150, 54)-net in base 5 | [i] | ||
| 46 | No (10, m, 54)-net in base 5 for arbitrarily large m | [i] | m-Reduction from Arbitrarily Large Net | |