Information on Result #599730

There is no digital (11, 61, 64)-net over F5, because extracting embedded orthogonal array would yield linear OA(561, 64, F5, 50) (dual of [64, 3, 51]-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 (11, 62, 64)-net over F5 [i]m-Reduction
2No digital (11, 63, 64)-net over F5 [i]
3No digital (11, 64, 64)-net over F5 [i]
4No digital (11, 65, 64)-net over F5 [i]
5No digital (11, 66, 64)-net over F5 [i]
6No digital (11, 67, 64)-net over F5 [i]
7No digital (11, 68, 64)-net over F5 [i]
8No digital (11, 69, 64)-net over F5 [i]
9No digital (11, 70, 64)-net over F5 [i]
10No digital (11, 71, 64)-net over F5 [i]
11No digital (11, 72, 64)-net over F5 [i]
12No digital (11, 73, 64)-net over F5 [i]
13No digital (11, 74, 64)-net over F5 [i]
14No digital (11, 75, 64)-net over F5 [i]
15No digital (11, 76, 64)-net over F5 [i]
16No digital (11, 77, 64)-net over F5 [i]
17No digital (11, 78, 64)-net over F5 [i]
18No digital (11, 79, 64)-net over F5 [i]
19No digital (11, 80, 64)-net over F5 [i]
20No digital (11, 81, 64)-net over F5 [i]
21No digital (11, 82, 64)-net over F5 [i]
22No digital (11, 83, 64)-net over F5 [i]
23No digital (11, 84, 64)-net over F5 [i]
24No digital (11, 85, 64)-net over F5 [i]
25No digital (11, 86, 64)-net over F5 [i]
26No digital (11, 87, 64)-net over F5 [i]
27No digital (11, 88, 64)-net over F5 [i]
28No digital (11, 89, 64)-net over F5 [i]
29No digital (11, 90, 64)-net over F5 [i]
30No digital (11, 91, 64)-net over F5 [i]
31No digital (11, 92, 64)-net over F5 [i]
32No digital (11, 93, 64)-net over F5 [i]
33No digital (11, 94, 64)-net over F5 [i]
34No digital (11, 95, 64)-net over F5 [i]
35No digital (11, 96, 64)-net over F5 [i]
36No digital (11, 97, 64)-net over F5 [i]
37No digital (11, 98, 64)-net over F5 [i]
38No digital (11, 99, 64)-net over F5 [i]
39No digital (11, 100, 64)-net over F5 [i]
40No digital (11, 101, 64)-net over F5 [i]
41No digital (11, 102, 64)-net over F5 [i]
42No digital (11, 103, 64)-net over F5 [i]
43No digital (11, 104, 64)-net over F5 [i]
44No digital (11, 105, 64)-net over F5 [i]
45No digital (11, 106, 64)-net over F5 [i]
46No digital (11, 107, 64)-net over F5 [i]
47No digital (11, 108, 64)-net over F5 [i]
48No digital (11, 109, 64)-net over F5 [i]
49No digital (11, 110, 64)-net over F5 [i]
50No digital (11, 111, 64)-net over F5 [i]
51No digital (11, 112, 64)-net over F5 [i]