Information on Result #599712

There is no digital (5, 29, 33)-net over F5, because extracting embedded orthogonal array would yield linear OA(529, 33, F5, 24) (dual of [33, 4, 25]-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 (5, 30, 33)-net over F5 [i]m-Reduction
2No digital (5, 31, 33)-net over F5 [i]
3No digital (5, 32, 33)-net over F5 [i]
4No digital (5, 33, 33)-net over F5 [i]
5No digital (5, 34, 33)-net over F5 [i]
6No digital (5, 35, 33)-net over F5 [i]
7No digital (5, 36, 33)-net over F5 [i]
8No digital (5, 37, 33)-net over F5 [i]
9No digital (5, 38, 33)-net over F5 [i]
10No digital (5, 39, 33)-net over F5 [i]
11No digital (5, 40, 33)-net over F5 [i]
12No digital (5, 41, 33)-net over F5 [i]
13No digital (5, 42, 33)-net over F5 [i]
14No digital (5, 43, 33)-net over F5 [i]
15No digital (5, 44, 33)-net over F5 [i]
16No digital (5, 45, 33)-net over F5 [i]
17No digital (5, 46, 33)-net over F5 [i]
18No digital (5, 47, 33)-net over F5 [i]
19No digital (5, 48, 33)-net over F5 [i]
20No digital (5, 49, 33)-net over F5 [i]
21No digital (5, 50, 33)-net over F5 [i]
22No digital (5, 51, 33)-net over F5 [i]
23No digital (5, 52, 33)-net over F5 [i]
24No digital (5, 53, 33)-net over F5 [i]
25No digital (5, 54, 33)-net over F5 [i]
26No digital (5, 55, 33)-net over F5 [i]
27No digital (5, 56, 33)-net over F5 [i]
28No digital (5, 57, 33)-net over F5 [i]
29No digital (5, 58, 33)-net over F5 [i]
30No digital (5, 59, 33)-net over F5 [i]