Information on Result #598992

There is no digital (38, 119, 123)-net over F3, because extracting embedded orthogonal array would yield linear OA(3119, 123, F3, 81) (dual of [123, 4, 82]-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 (38, 120, 123)-net over F3 [i]m-Reduction
2No digital (38, 121, 123)-net over F3 [i]
3No digital (38, 122, 123)-net over F3 [i]
4No digital (38, 123, 123)-net over F3 [i]
5No digital (38, 124, 123)-net over F3 [i]
6No digital (38, 125, 123)-net over F3 [i]
7No digital (38, 126, 123)-net over F3 [i]
8No digital (38, 127, 123)-net over F3 [i]
9No digital (38, 128, 123)-net over F3 [i]
10No digital (38, 129, 123)-net over F3 [i]
11No digital (38, 130, 123)-net over F3 [i]
12No digital (38, 131, 123)-net over F3 [i]
13No digital (38, 132, 123)-net over F3 [i]
14No digital (38, 133, 123)-net over F3 [i]
15No digital (38, 134, 123)-net over F3 [i]
16No digital (38, 135, 123)-net over F3 [i]
17No digital (38, 136, 123)-net over F3 [i]
18No digital (38, 137, 123)-net over F3 [i]
19No digital (38, 138, 123)-net over F3 [i]
20No digital (38, 139, 123)-net over F3 [i]
21No digital (38, 140, 123)-net over F3 [i]
22No digital (38, 141, 123)-net over F3 [i]
23No digital (38, 142, 123)-net over F3 [i]
24No digital (38, 143, 123)-net over F3 [i]
25No digital (38, 144, 123)-net over F3 [i]
26No digital (38, 145, 123)-net over F3 [i]
27No digital (38, 146, 123)-net over F3 [i]
28No digital (38, 147, 123)-net over F3 [i]
29No digital (38, 148, 123)-net over F3 [i]
30No digital (38, 149, 123)-net over F3 [i]
31No digital (38, 150, 123)-net over F3 [i]
32No digital (38, 151, 123)-net over F3 [i]
33No digital (38, 152, 123)-net over F3 [i]
34No digital (38, 153, 123)-net over F3 [i]
35No digital (38, 154, 123)-net over F3 [i]
36No digital (38, 155, 123)-net over F3 [i]
37No digital (38, 156, 123)-net over F3 [i]
38No digital (38, 157, 123)-net over F3 [i]
39No digital (38, 158, 123)-net over F3 [i]
40No digital (38, 159, 123)-net over F3 [i]
41No digital (38, 160, 123)-net over F3 [i]
42No digital (38, 161, 123)-net over F3 [i]
43No digital (38, 162, 123)-net over F3 [i]
44No digital (38, 163, 123)-net over F3 [i]
45No digital (38, 164, 123)-net over F3 [i]
46No digital (38, 165, 123)-net over F3 [i]
47No digital (38, 166, 123)-net over F3 [i]
48No digital (38, 167, 123)-net over F3 [i]
49No digital (38, 168, 123)-net over F3 [i]
50No digital (38, 169, 123)-net over F3 [i]
51No digital (38, 170, 123)-net over F3 [i]
52No digital (38, 171, 123)-net over F3 [i]
53No digital (38, 172, 123)-net over F3 [i]
54No digital (38, 173, 123)-net over F3 [i]
55No digital (38, 174, 123)-net over F3 [i]
56No digital (38, 175, 123)-net over F3 [i]
57No digital (38, 176, 123)-net over F3 [i]
58No digital (38, 177, 123)-net over F3 [i]
59No digital (38, 178, 123)-net over F3 [i]
60No digital (38, 179, 123)-net over F3 [i]
61No digital (38, 180, 123)-net over F3 [i]
62No digital (38, 181, 123)-net over F3 [i]
63No digital (38, 182, 123)-net over F3 [i]
64No digital (38, 183, 123)-net over F3 [i]
65No digital (38, 184, 123)-net over F3 [i]
66No digital (38, 185, 123)-net over F3 [i]
67No digital (38, 186, 123)-net over F3 [i]