Information on Result #522484
There is no (11, 59, 65)-net in base 5, because extracting embedded orthogonal array would yield OA(559, 65, S5, 48), but
- the linear programming bound shows that M ≥ 802 309607 639273 281165 515072 643756 866455 078125 / 3773 > 559 [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, 60, 65)-net in base 5 | [i] | m-Reduction | |
| 2 | No (11, 61, 65)-net in base 5 | [i] | ||
| 3 | No (11, 62, 65)-net in base 5 | [i] | ||
| 4 | No (11, 63, 65)-net in base 5 | [i] | ||
| 5 | No (11, 64, 65)-net in base 5 | [i] | ||
| 6 | No (11, 65, 65)-net in base 5 | [i] | ||
| 7 | No (11, 66, 65)-net in base 5 | [i] | ||
| 8 | No (11, 67, 65)-net in base 5 | [i] | ||
| 9 | No (11, 68, 65)-net in base 5 | [i] | ||
| 10 | No (11, 69, 65)-net in base 5 | [i] | ||
| 11 | No (11, 70, 65)-net in base 5 | [i] | ||
| 12 | No (11, 71, 65)-net in base 5 | [i] | ||
| 13 | No (11, 72, 65)-net in base 5 | [i] | ||
| 14 | No (11, 73, 65)-net in base 5 | [i] | ||
| 15 | No (11, 74, 65)-net in base 5 | [i] | ||
| 16 | No (11, 75, 65)-net in base 5 | [i] | ||
| 17 | No (11, 76, 65)-net in base 5 | [i] | ||
| 18 | No (11, 77, 65)-net in base 5 | [i] | ||
| 19 | No (11, 78, 65)-net in base 5 | [i] | ||
| 20 | No (11, 79, 65)-net in base 5 | [i] | ||
| 21 | No (11, 80, 65)-net in base 5 | [i] | ||
| 22 | No (11, 81, 65)-net in base 5 | [i] | ||
| 23 | No (11, 82, 65)-net in base 5 | [i] | ||
| 24 | No (11, 83, 65)-net in base 5 | [i] | ||
| 25 | No (11, 84, 65)-net in base 5 | [i] | ||
| 26 | No (11, 85, 65)-net in base 5 | [i] | ||
| 27 | No (11, 86, 65)-net in base 5 | [i] | ||
| 28 | No (11, 87, 65)-net in base 5 | [i] | ||
| 29 | No (11, 88, 65)-net in base 5 | [i] | ||
| 30 | No (11, 89, 65)-net in base 5 | [i] | ||
| 31 | No (11, 90, 65)-net in base 5 | [i] | ||
| 32 | No (11, 91, 65)-net in base 5 | [i] | ||
| 33 | No (11, 92, 65)-net in base 5 | [i] | ||
| 34 | No (11, 93, 65)-net in base 5 | [i] | ||
| 35 | No (11, 94, 65)-net in base 5 | [i] | ||
| 36 | No (11, 95, 65)-net in base 5 | [i] | ||
| 37 | No (11, 96, 65)-net in base 5 | [i] | ||
| 38 | No (11, 97, 65)-net in base 5 | [i] | ||
| 39 | No (11, 98, 65)-net in base 5 | [i] | ||
| 40 | No (11, 99, 65)-net in base 5 | [i] | ||
| 41 | No (11, 100, 65)-net in base 5 | [i] | ||
| 42 | No (11, 101, 65)-net in base 5 | [i] | ||
| 43 | No (11, 102, 65)-net in base 5 | [i] | ||
| 44 | No (11, 103, 65)-net in base 5 | [i] | ||
| 45 | No (11, 104, 65)-net in base 5 | [i] | ||
| 46 | No (11, 105, 65)-net in base 5 | [i] | ||
| 47 | No (11, 106, 65)-net in base 5 | [i] | ||
| 48 | No (11, 107, 65)-net in base 5 | [i] | ||
| 49 | No (11, 108, 65)-net in base 5 | [i] | ||
| 50 | No (11, 109, 65)-net in base 5 | [i] | ||
| 51 | No (11, 110, 65)-net in base 5 | [i] | ||
| 52 | No (11, 111, 65)-net in base 5 | [i] | ||
| 53 | No (11, 112, 65)-net in base 5 | [i] | ||