Information on Result #598988

There is no digital (33, 102, 108)-net over F3, because extracting embedded orthogonal array would yield linear OA(3102, 108, F3, 69) (dual of [108, 6, 70]-code), but

Mode: Bound (linear).

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 digital (33, 103, 108)-net over F3 [i]m-Reduction
2No digital (33, 104, 108)-net over F3 [i]
3No digital (33, 105, 108)-net over F3 [i]
4No digital (33, 106, 108)-net over F3 [i]
5No digital (33, 107, 108)-net over F3 [i]
6No digital (33, 108, 108)-net over F3 [i]
7No digital (33, 109, 108)-net over F3 [i]
8No digital (33, 110, 108)-net over F3 [i]
9No digital (33, 111, 108)-net over F3 [i]
10No digital (33, 112, 108)-net over F3 [i]
11No digital (33, 113, 108)-net over F3 [i]
12No digital (33, 114, 108)-net over F3 [i]
13No digital (33, 115, 108)-net over F3 [i]
14No digital (33, 116, 108)-net over F3 [i]
15No digital (33, 117, 108)-net over F3 [i]
16No digital (33, 118, 108)-net over F3 [i]
17No digital (33, 119, 108)-net over F3 [i]
18No digital (33, 120, 108)-net over F3 [i]
19No digital (33, 121, 108)-net over F3 [i]
20No digital (33, 122, 108)-net over F3 [i]
21No digital (33, 123, 108)-net over F3 [i]
22No digital (33, 124, 108)-net over F3 [i]
23No digital (33, 125, 108)-net over F3 [i]
24No digital (33, 126, 108)-net over F3 [i]
25No digital (33, 127, 108)-net over F3 [i]
26No digital (33, 128, 108)-net over F3 [i]
27No digital (33, 129, 108)-net over F3 [i]
28No digital (33, 130, 108)-net over F3 [i]
29No digital (33, 131, 108)-net over F3 [i]
30No digital (33, 132, 108)-net over F3 [i]
31No digital (33, 133, 108)-net over F3 [i]
32No digital (33, 134, 108)-net over F3 [i]
33No digital (33, 135, 108)-net over F3 [i]
34No digital (33, 136, 108)-net over F3 [i]
35No digital (33, 137, 108)-net over F3 [i]
36No digital (33, 138, 108)-net over F3 [i]
37No digital (33, 139, 108)-net over F3 [i]
38No digital (33, 140, 108)-net over F3 [i]
39No digital (33, 141, 108)-net over F3 [i]
40No digital (33, 142, 108)-net over F3 [i]
41No digital (33, 143, 108)-net over F3 [i]
42No digital (33, 144, 108)-net over F3 [i]
43No digital (33, 145, 108)-net over F3 [i]
44No digital (33, 146, 108)-net over F3 [i]
45No digital (33, 147, 108)-net over F3 [i]
46No digital (33, 148, 108)-net over F3 [i]
47No digital (33, 149, 108)-net over F3 [i]
48No digital (33, 150, 108)-net over F3 [i]
49No digital (33, 151, 108)-net over F3 [i]
50No digital (33, 152, 108)-net over F3 [i]
51No digital (33, 153, 108)-net over F3 [i]
52No digital (33, 154, 108)-net over F3 [i]
53No digital (33, 155, 108)-net over F3 [i]
54No digital (33, 156, 108)-net over F3 [i]
55No digital (33, 157, 108)-net over F3 [i]
56No digital (33, 158, 108)-net over F3 [i]
57No digital (33, 159, 108)-net over F3 [i]
58No digital (33, 160, 108)-net over F3 [i]
59No digital (33, 161, 108)-net over F3 [i]
60No digital (33, 162, 108)-net over F3 [i]
61No digital (33, 163, 108)-net over F3 [i]