Information on Result #599788

There is no digital (6, 48, 52)-net over F7, because extracting embedded orthogonal array would yield linear OA(748, 52, F7, 42) (dual of [52, 4, 43]-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 (6, 49, 52)-net over F7 [i]m-Reduction
2No digital (6, 50, 52)-net over F7 [i]
3No digital (6, 51, 52)-net over F7 [i]
4No digital (6, 52, 52)-net over F7 [i]
5No digital (6, 53, 52)-net over F7 [i]
6No digital (6, 54, 52)-net over F7 [i]
7No digital (6, 55, 52)-net over F7 [i]
8No digital (6, 56, 52)-net over F7 [i]
9No digital (6, 57, 52)-net over F7 [i]
10No digital (6, 58, 52)-net over F7 [i]
11No digital (6, 59, 52)-net over F7 [i]
12No digital (6, 60, 52)-net over F7 [i]
13No digital (6, 61, 52)-net over F7 [i]
14No digital (6, 62, 52)-net over F7 [i]
15No digital (6, 63, 52)-net over F7 [i]
16No digital (6, 64, 52)-net over F7 [i]
17No digital (6, 65, 52)-net over F7 [i]
18No digital (6, 66, 52)-net over F7 [i]
19No digital (6, 67, 52)-net over F7 [i]
20No digital (6, 68, 52)-net over F7 [i]
21No digital (6, 69, 52)-net over F7 [i]
22No digital (6, 70, 52)-net over F7 [i]
23No digital (6, 71, 52)-net over F7 [i]
24No digital (6, 72, 52)-net over F7 [i]
25No digital (6, 73, 52)-net over F7 [i]
26No digital (6, 74, 52)-net over F7 [i]
27No digital (6, 75, 52)-net over F7 [i]
28No digital (6, 76, 52)-net over F7 [i]
29No digital (6, 77, 52)-net over F7 [i]
30No digital (6, 78, 52)-net over F7 [i]
31No digital (6, 79, 52)-net over F7 [i]
32No digital (6, 80, 52)-net over F7 [i]
33No digital (6, 81, 52)-net over F7 [i]
34No digital (6, 82, 52)-net over F7 [i]
35No digital (6, 83, 52)-net over F7 [i]
36No digital (6, 84, 52)-net over F7 [i]
37No digital (6, 85, 52)-net over F7 [i]
38No digital (6, 86, 52)-net over F7 [i]
39No digital (6, 87, 52)-net over F7 [i]
40No digital (6, 88, 52)-net over F7 [i]
41No digital (6, 89, 52)-net over F7 [i]
42No digital (6, 90, 52)-net over F7 [i]
43No digital (6, 91, 52)-net over F7 [i]
44No digital (6, 92, 52)-net over F7 [i]
45No digital (6, 93, 52)-net over F7 [i]
46No digital (6, 94, 52)-net over F7 [i]
47No digital (6, 95, 52)-net over F7 [i]
48No digital (6, 96, 52)-net over F7 [i]
49No digital (6, 97, 52)-net over F7 [i]
50No digital (6, 98, 52)-net over F7 [i]