Information on Result #599352

There is no digital (6, 26, 31)-net over F4, because extracting embedded orthogonal array would yield linear OA(426, 31, F4, 20) (dual of [31, 5, 21]-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, 27, 31)-net over F4 [i]m-Reduction
2No digital (6, 28, 31)-net over F4 [i]
3No digital (6, 29, 31)-net over F4 [i]
4No digital (6, 30, 31)-net over F4 [i]
5No digital (6, 31, 31)-net over F4 [i]
6No digital (6, 32, 31)-net over F4 [i]
7No digital (6, 33, 31)-net over F4 [i]
8No digital (6, 34, 31)-net over F4 [i]
9No digital (6, 35, 31)-net over F4 [i]
10No digital (6, 36, 31)-net over F4 [i]
11No digital (6, 37, 31)-net over F4 [i]
12No digital (6, 38, 31)-net over F4 [i]
13No digital (6, 39, 31)-net over F4 [i]
14No digital (6, 40, 31)-net over F4 [i]
15No digital (6, 41, 31)-net over F4 [i]
16No digital (6, 42, 31)-net over F4 [i]
17No digital (6, 43, 31)-net over F4 [i]
18No digital (6, 44, 31)-net over F4 [i]
19No digital (6, 45, 31)-net over F4 [i]
20No digital (6, 46, 31)-net over F4 [i]
21No digital (6, 47, 31)-net over F4 [i]
22No digital (6, 48, 31)-net over F4 [i]
23No digital (6, 49, 31)-net over F4 [i]
24No digital (6, 50, 31)-net over F4 [i]
25No digital (6, 51, 31)-net over F4 [i]
26No digital (6, 52, 31)-net over F4 [i]
27No digital (6, 53, 31)-net over F4 [i]
28No digital (6, 54, 31)-net over F4 [i]