Information on Result #598977

There is no digital (24, 75, 81)-net over F3, because extracting embedded orthogonal array would yield linear OA(375, 81, F3, 51) (dual of [81, 6, 52]-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 (24, 76, 81)-net over F3 [i]m-Reduction
2No digital (24, 77, 81)-net over F3 [i]
3No digital (24, 78, 81)-net over F3 [i]
4No digital (24, 79, 81)-net over F3 [i]
5No digital (24, 80, 81)-net over F3 [i]
6No digital (24, 81, 81)-net over F3 [i]
7No digital (24, 82, 81)-net over F3 [i]
8No digital (24, 83, 81)-net over F3 [i]
9No digital (24, 84, 81)-net over F3 [i]
10No digital (24, 85, 81)-net over F3 [i]
11No digital (24, 86, 81)-net over F3 [i]
12No digital (24, 87, 81)-net over F3 [i]
13No digital (24, 88, 81)-net over F3 [i]
14No digital (24, 89, 81)-net over F3 [i]
15No digital (24, 90, 81)-net over F3 [i]
16No digital (24, 91, 81)-net over F3 [i]
17No digital (24, 92, 81)-net over F3 [i]
18No digital (24, 93, 81)-net over F3 [i]
19No digital (24, 94, 81)-net over F3 [i]
20No digital (24, 95, 81)-net over F3 [i]
21No digital (24, 96, 81)-net over F3 [i]
22No digital (24, 97, 81)-net over F3 [i]
23No digital (24, 98, 81)-net over F3 [i]
24No digital (24, 99, 81)-net over F3 [i]
25No digital (24, 100, 81)-net over F3 [i]
26No digital (24, 101, 81)-net over F3 [i]
27No digital (24, 102, 81)-net over F3 [i]
28No digital (24, 103, 81)-net over F3 [i]
29No digital (24, 104, 81)-net over F3 [i]
30No digital (24, 105, 81)-net over F3 [i]
31No digital (24, 106, 81)-net over F3 [i]
32No digital (24, 107, 81)-net over F3 [i]
33No digital (24, 108, 81)-net over F3 [i]
34No digital (24, 109, 81)-net over F3 [i]
35No digital (24, 110, 81)-net over F3 [i]
36No digital (24, 111, 81)-net over F3 [i]
37No digital (24, 112, 81)-net over F3 [i]
38No digital (24, 113, 81)-net over F3 [i]
39No digital (24, 114, 81)-net over F3 [i]
40No digital (24, 115, 81)-net over F3 [i]
41No digital (24, 116, 81)-net over F3 [i]
42No digital (24, 117, 81)-net over F3 [i]
43No digital (24, 118, 81)-net over F3 [i]
44No digital (24, 119, 81)-net over F3 [i]
45No digital (24, 120, 81)-net over F3 [i]
46No digital (24, 121, 81)-net over F3 [i]
47No digital (24, 122, 81)-net over F3 [i]