Information on Result #521864
There is no (12, 52, 58)-net in base 4, because extracting embedded orthogonal array would yield OA(452, 58, S4, 40), but
- the linear programming bound shows that M ≥ 44783 560404 862888 296075 530839 523328 / 1927 > 452 [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 (12, 53, 58)-net in base 4 | [i] | m-Reduction | |
2 | No (12, 54, 58)-net in base 4 | [i] | ||
3 | No (12, 55, 58)-net in base 4 | [i] | ||
4 | No (12, 56, 58)-net in base 4 | [i] | ||
5 | No (12, 57, 58)-net in base 4 | [i] | ||
6 | No (12, 58, 58)-net in base 4 | [i] | ||
7 | No (12, 59, 58)-net in base 4 | [i] | ||
8 | No (12, 60, 58)-net in base 4 | [i] | ||
9 | No (12, 61, 58)-net in base 4 | [i] | ||
10 | No (12, 62, 58)-net in base 4 | [i] | ||
11 | No (12, 63, 58)-net in base 4 | [i] | ||
12 | No (12, 64, 58)-net in base 4 | [i] | ||
13 | No (12, 65, 58)-net in base 4 | [i] | ||
14 | No (12, 66, 58)-net in base 4 | [i] | ||
15 | No (12, 67, 58)-net in base 4 | [i] | ||
16 | No (12, 68, 58)-net in base 4 | [i] | ||
17 | No (12, 69, 58)-net in base 4 | [i] | ||
18 | No (12, 70, 58)-net in base 4 | [i] | ||
19 | No (12, 71, 58)-net in base 4 | [i] | ||
20 | No (12, 72, 58)-net in base 4 | [i] | ||
21 | No (12, 73, 58)-net in base 4 | [i] | ||
22 | No (12, 74, 58)-net in base 4 | [i] | ||
23 | No (12, 75, 58)-net in base 4 | [i] | ||
24 | No (12, 76, 58)-net in base 4 | [i] | ||
25 | No (12, 77, 58)-net in base 4 | [i] | ||
26 | No (12, 78, 58)-net in base 4 | [i] | ||
27 | No (12, 79, 58)-net in base 4 | [i] | ||
28 | No (12, 80, 58)-net in base 4 | [i] | ||
29 | No (12, 81, 58)-net in base 4 | [i] | ||
30 | No (12, 82, 58)-net in base 4 | [i] | ||
31 | No (12, 83, 58)-net in base 4 | [i] | ||
32 | No (12, 84, 58)-net in base 4 | [i] | ||
33 | No (12, 85, 58)-net in base 4 | [i] | ||
34 | No (12, 86, 58)-net in base 4 | [i] | ||
35 | No (12, 87, 58)-net in base 4 | [i] | ||
36 | No (12, 88, 58)-net in base 4 | [i] | ||
37 | No (12, 89, 58)-net in base 4 | [i] | ||
38 | No (12, 90, 58)-net in base 4 | [i] | ||
39 | No (12, 91, 58)-net in base 4 | [i] | ||
40 | No (12, 92, 58)-net in base 4 | [i] | ||
41 | No (12, 93, 58)-net in base 4 | [i] | ||
42 | No (12, 94, 58)-net in base 4 | [i] |