Information on Result #598979

There is no digital (25, 79, 83)-net over F3, because extracting embedded orthogonal array would yield linear OA(379, 83, F3, 54) (dual of [83, 4, 55]-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 (25, 80, 83)-net over F3 [i]m-Reduction
2No digital (25, 81, 83)-net over F3 [i]
3No digital (25, 82, 83)-net over F3 [i]
4No digital (25, 83, 83)-net over F3 [i]
5No digital (25, 84, 83)-net over F3 [i]
6No digital (25, 85, 83)-net over F3 [i]
7No digital (25, 86, 83)-net over F3 [i]
8No digital (25, 87, 83)-net over F3 [i]
9No digital (25, 88, 83)-net over F3 [i]
10No digital (25, 89, 83)-net over F3 [i]
11No digital (25, 90, 83)-net over F3 [i]
12No digital (25, 91, 83)-net over F3 [i]
13No digital (25, 92, 83)-net over F3 [i]
14No digital (25, 93, 83)-net over F3 [i]
15No digital (25, 94, 83)-net over F3 [i]
16No digital (25, 95, 83)-net over F3 [i]
17No digital (25, 96, 83)-net over F3 [i]
18No digital (25, 97, 83)-net over F3 [i]
19No digital (25, 98, 83)-net over F3 [i]
20No digital (25, 99, 83)-net over F3 [i]
21No digital (25, 100, 83)-net over F3 [i]
22No digital (25, 101, 83)-net over F3 [i]
23No digital (25, 102, 83)-net over F3 [i]
24No digital (25, 103, 83)-net over F3 [i]
25No digital (25, 104, 83)-net over F3 [i]
26No digital (25, 105, 83)-net over F3 [i]
27No digital (25, 106, 83)-net over F3 [i]
28No digital (25, 107, 83)-net over F3 [i]
29No digital (25, 108, 83)-net over F3 [i]
30No digital (25, 109, 83)-net over F3 [i]
31No digital (25, 110, 83)-net over F3 [i]
32No digital (25, 111, 83)-net over F3 [i]
33No digital (25, 112, 83)-net over F3 [i]
34No digital (25, 113, 83)-net over F3 [i]
35No digital (25, 114, 83)-net over F3 [i]
36No digital (25, 115, 83)-net over F3 [i]
37No digital (25, 116, 83)-net over F3 [i]
38No digital (25, 117, 83)-net over F3 [i]
39No digital (25, 118, 83)-net over F3 [i]
40No digital (25, 119, 83)-net over F3 [i]
41No digital (25, 120, 83)-net over F3 [i]
42No digital (25, 121, 83)-net over F3 [i]
43No digital (25, 122, 83)-net over F3 [i]
44No digital (25, 123, 83)-net over F3 [i]
45No digital (25, 124, 83)-net over F3 [i]
46No digital (25, 125, 83)-net over F3 [i]
47No digital (25, 126, 83)-net over F3 [i]
48No digital (25, 127, 83)-net over F3 [i]