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

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:

ResultThis
result
only
Method
1No (12, 53, 58)-net in base 4 [i]m-Reduction
2No (12, 54, 58)-net in base 4 [i]
3No (12, 55, 58)-net in base 4 [i]
4No (12, 56, 58)-net in base 4 [i]
5No (12, 57, 58)-net in base 4 [i]
6No (12, 58, 58)-net in base 4 [i]
7No (12, 59, 58)-net in base 4 [i]
8No (12, 60, 58)-net in base 4 [i]
9No (12, 61, 58)-net in base 4 [i]
10No (12, 62, 58)-net in base 4 [i]
11No (12, 63, 58)-net in base 4 [i]
12No (12, 64, 58)-net in base 4 [i]
13No (12, 65, 58)-net in base 4 [i]
14No (12, 66, 58)-net in base 4 [i]
15No (12, 67, 58)-net in base 4 [i]
16No (12, 68, 58)-net in base 4 [i]
17No (12, 69, 58)-net in base 4 [i]
18No (12, 70, 58)-net in base 4 [i]
19No (12, 71, 58)-net in base 4 [i]
20No (12, 72, 58)-net in base 4 [i]
21No (12, 73, 58)-net in base 4 [i]
22No (12, 74, 58)-net in base 4 [i]
23No (12, 75, 58)-net in base 4 [i]
24No (12, 76, 58)-net in base 4 [i]
25No (12, 77, 58)-net in base 4 [i]
26No (12, 78, 58)-net in base 4 [i]
27No (12, 79, 58)-net in base 4 [i]
28No (12, 80, 58)-net in base 4 [i]
29No (12, 81, 58)-net in base 4 [i]
30No (12, 82, 58)-net in base 4 [i]
31No (12, 83, 58)-net in base 4 [i]
32No (12, 84, 58)-net in base 4 [i]
33No (12, 85, 58)-net in base 4 [i]
34No (12, 86, 58)-net in base 4 [i]
35No (12, 87, 58)-net in base 4 [i]
36No (12, 88, 58)-net in base 4 [i]
37No (12, 89, 58)-net in base 4 [i]
38No (12, 90, 58)-net in base 4 [i]
39No (12, 91, 58)-net in base 4 [i]
40No (12, 92, 58)-net in base 4 [i]
41No (12, 93, 58)-net in base 4 [i]
42No (12, 94, 58)-net in base 4 [i]