Information on Result #599791

There is no digital (7, 56, 59)-net over F7, because extracting embedded orthogonal array would yield linear OA(756, 59, F7, 49) (dual of [59, 3, 50]-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 (7, 57, 59)-net over F7 [i]m-Reduction
2No digital (7, 58, 59)-net over F7 [i]
3No digital (7, 59, 59)-net over F7 [i]
4No digital (7, 60, 59)-net over F7 [i]
5No digital (7, 61, 59)-net over F7 [i]
6No digital (7, 62, 59)-net over F7 [i]
7No digital (7, 63, 59)-net over F7 [i]
8No digital (7, 64, 59)-net over F7 [i]
9No digital (7, 65, 59)-net over F7 [i]
10No digital (7, 66, 59)-net over F7 [i]
11No digital (7, 67, 59)-net over F7 [i]
12No digital (7, 68, 59)-net over F7 [i]
13No digital (7, 69, 59)-net over F7 [i]
14No digital (7, 70, 59)-net over F7 [i]
15No digital (7, 71, 59)-net over F7 [i]
16No digital (7, 72, 59)-net over F7 [i]
17No digital (7, 73, 59)-net over F7 [i]
18No digital (7, 74, 59)-net over F7 [i]
19No digital (7, 75, 59)-net over F7 [i]
20No digital (7, 76, 59)-net over F7 [i]
21No digital (7, 77, 59)-net over F7 [i]
22No digital (7, 78, 59)-net over F7 [i]
23No digital (7, 79, 59)-net over F7 [i]
24No digital (7, 80, 59)-net over F7 [i]
25No digital (7, 81, 59)-net over F7 [i]
26No digital (7, 82, 59)-net over F7 [i]
27No digital (7, 83, 59)-net over F7 [i]
28No digital (7, 84, 59)-net over F7 [i]
29No digital (7, 85, 59)-net over F7 [i]
30No digital (7, 86, 59)-net over F7 [i]
31No digital (7, 87, 59)-net over F7 [i]
32No digital (7, 88, 59)-net over F7 [i]
33No digital (7, 89, 59)-net over F7 [i]
34No digital (7, 90, 59)-net over F7 [i]
35No digital (7, 91, 59)-net over F7 [i]
36No digital (7, 92, 59)-net over F7 [i]
37No digital (7, 93, 59)-net over F7 [i]
38No digital (7, 94, 59)-net over F7 [i]
39No digital (7, 95, 59)-net over F7 [i]
40No digital (7, 96, 59)-net over F7 [i]
41No digital (7, 97, 59)-net over F7 [i]
42No digital (7, 98, 59)-net over F7 [i]
43No digital (7, 99, 59)-net over F7 [i]
44No digital (7, 100, 59)-net over F7 [i]
45No digital (7, 101, 59)-net over F7 [i]
46No digital (7, 102, 59)-net over F7 [i]
47No digital (7, 103, 59)-net over F7 [i]
48No digital (7, 104, 59)-net over F7 [i]
49No digital (7, 105, 59)-net over F7 [i]
50No digital (7, 106, 59)-net over F7 [i]
51No digital (7, 107, 59)-net over F7 [i]
52No digital (7, 108, 59)-net over F7 [i]
53No digital (7, 109, 59)-net over F7 [i]
54No digital (7, 110, 59)-net over F7 [i]